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Volumn 531, Issue 4, 2013, Pages 173-199

Oscillation quenching mechanisms: Amplitude vs. oscillation death

Author keywords

Amplitude death; Coupled oscillators; Oscillation death

Indexed keywords


EID: 84885058162     PISSN: 03701573     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physrep.2013.06.001     Document Type: Review
Times cited : (400)

References (131)
  • 1
    • 0001161091 scopus 로고
    • Phase locking of Josephson-junction serries arrays
    • Hadley P., Beasley M.R., Wiesenfeld K. Phase locking of Josephson-junction serries arrays. Phys. Rev. B 1988, 38:8712-8719.
    • (1988) Phys. Rev. B , vol.38 , pp. 8712-8719
    • Hadley, P.1    Beasley, M.R.2    Wiesenfeld, K.3
  • 4
    • 0031165429 scopus 로고    scopus 로고
    • Localized synchronization in two coupled nonidentical semiconductor lasers
    • Hohl A., Gavrielidis A., Erneux T., Kovanis V. Localized synchronization in two coupled nonidentical semiconductor lasers. Phys. Rev. Lett. 1997, 78:4745-4748.
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 4745-4748
    • Hohl, A.1    Gavrielidis, A.2    Erneux, T.3    Kovanis, V.4
  • 6
    • 49049139221 scopus 로고
    • Strange attractors in coupled reaction-diffusion cells
    • Schreiber I., Marek M. Strange attractors in coupled reaction-diffusion cells. Physica D 1982, 5:258-272.
    • (1982) Physica D , vol.5 , pp. 258-272
    • Schreiber, I.1    Marek, M.2
  • 8
    • 33751530567 scopus 로고
    • Experimental and theoretical studies of a coupled chemical oscillator: phase death, multistability, and in-phase and out-of-phase entrainment
    • Crowley M.F., Epstein I.R. Experimental and theoretical studies of a coupled chemical oscillator: phase death, multistability, and in-phase and out-of-phase entrainment. J. Phys. Chem. 1989, 93:2496-2502.
    • (1989) J. Phys. Chem. , vol.93 , pp. 2496-2502
    • Crowley, M.F.1    Epstein, I.R.2
  • 9
    • 0000291013 scopus 로고    scopus 로고
    • Coupled chaotic chemical oscillators
    • Dolnik M., Epstein I.R. Coupled chaotic chemical oscillators. Phys. Rev. E 1996, 54:3361-3368.
    • (1996) Phys. Rev. E , vol.54 , pp. 3361-3368
    • Dolnik, M.1    Epstein, I.R.2
  • 10
    • 0017812832 scopus 로고
    • Two coupled oscillators: simulations of the circadian pacemaker in mammalian activity rhythms
    • Daan S., Berde C. Two coupled oscillators: simulations of the circadian pacemaker in mammalian activity rhythms. J. Theoret. Biol. 1978, 70:297-314.
    • (1978) J. Theoret. Biol. , vol.70 , pp. 297-314
    • Daan, S.1    Berde, C.2
  • 11
    • 0019197080 scopus 로고
    • Two coupled neural oscillators as a model for the circadian pacemaker
    • Kawato M., Suzuki R. Two coupled neural oscillators as a model for the circadian pacemaker. J. Theoret. Biol. 1980, 86:547-575.
    • (1980) J. Theoret. Biol. , vol.86 , pp. 547-575
    • Kawato, M.1    Suzuki, R.2
  • 12
    • 77956766976 scopus 로고    scopus 로고
    • Mechanisms of synchrony of neural activity in large networks
    • Elsevier, Amsterdam
    • Golomb D., Hansel D., Mato G. Mechanisms of synchrony of neural activity in large networks. Handbook of Biological Physics 2001, Elsevier, Amsterdam.
    • (2001) Handbook of Biological Physics
    • Golomb, D.1    Hansel, D.2    Mato, G.3
  • 13
    • 33748030448 scopus 로고    scopus 로고
    • Transient resetting: a novel mechanism for synchrony and its biological examples
    • Li C., Chen L., Aihara K. Transient resetting: a novel mechanism for synchrony and its biological examples. PLoS Comput. Biol. 2006, 2:e103.
    • (2006) PLoS Comput. Biol. , vol.2
    • Li, C.1    Chen, L.2    Aihara, K.3
  • 16
    • 0003475470 scopus 로고
    • Springer, New York, Berlin, Heidelberg
    • Murray J.D. Mathematical Biology 1993, Springer, New York, Berlin, Heidelberg.
    • (1993) Mathematical Biology
    • Murray, J.D.1
  • 20
    • 0041029265 scopus 로고
    • Experimental synchronization of chaotic lasers
    • Roy R., Thornburg S. Experimental synchronization of chaotic lasers. Phys. Rev. Lett. 1994, 72:2009-2012.
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 2009-2012
    • Roy, R.1    Thornburg, S.2
  • 21
    • 0028904194 scopus 로고
    • Individual neurons dissociated from rat suprachiasmatic nucleus express independently phased circadian firing rhythms
    • Welsh D.K., Logothetis D., Meister M., Reppert S. Individual neurons dissociated from rat suprachiasmatic nucleus express independently phased circadian firing rhythms. Neuron 1995, 14:697-706.
    • (1995) Neuron , vol.14 , pp. 697-706
    • Welsh, D.K.1    Logothetis, D.2    Meister, M.3    Reppert, S.4
  • 22
    • 0031040501 scopus 로고    scopus 로고
    • Circadian rhythms: basic neurobiology and clinical applications
    • Moore R.Y. Circadian rhythms: basic neurobiology and clinical applications. Annu. Rev. Med. 1997, 48:253-266.
    • (1997) Annu. Rev. Med. , vol.48 , pp. 253-266
    • Moore, R.Y.1
  • 25
    • 42449157505 scopus 로고    scopus 로고
    • Modeling the segmentation clock as a network of coupled oscillations in a notch, Wnt and FGF signaling pathways
    • Goldbeter A., Pouriquié O. Modeling the segmentation clock as a network of coupled oscillations in a notch, Wnt and FGF signaling pathways. J. Theoret. Biol. 2008, 252:574-585.
    • (2008) J. Theoret. Biol. , vol.252 , pp. 574-585
    • Goldbeter, A.1    Pouriquié, O.2
  • 29
    • 3042523540 scopus 로고    scopus 로고
    • Neuronal oscillations in cortical networks
    • Buzsaki G., Draguhn A. Neuronal oscillations in cortical networks. Science 2004, 304:1926-1929.
    • (2004) Science , vol.304 , pp. 1926-1929
    • Buzsaki, G.1    Draguhn, A.2
  • 30
    • 0013583334 scopus 로고    scopus 로고
    • Physiological aspects of information processing in the basal ganglia of normal and parkinsonian primates
    • Bergman H., Feingold A., Nini A., Raz A., Slovin H., Abeles M., Vaadia E. Physiological aspects of information processing in the basal ganglia of normal and parkinsonian primates. Trends Neurosci. 1998, 21:32-38.
    • (1998) Trends Neurosci. , vol.21 , pp. 32-38
    • Bergman, H.1    Feingold, A.2    Nini, A.3    Raz, A.4    Slovin, H.5    Abeles, M.6    Vaadia, E.7
  • 31
    • 0041528530 scopus 로고    scopus 로고
    • Thalamic theta field potentials and EEG: high thalamocortical coherence in patients with neurogenic pain, epilepsy and movement disorders
    • Sarnthein J., Morel A., von Stein A., Jeanmonod D. Thalamic theta field potentials and EEG: high thalamocortical coherence in patients with neurogenic pain, epilepsy and movement disorders. Thalamus & Related Systems 2003, 2:231-238.
    • (2003) Thalamus & Related Systems , vol.2 , pp. 231-238
    • Sarnthein, J.1    Morel, A.2    von Stein, A.3    Jeanmonod, D.4
  • 32
    • 18144372726 scopus 로고    scopus 로고
    • Scaling behavior of laser population dynamics with time-delayed coupling: theory and experiment
    • Kim M.Y., Roy R., Aron J.L., Carr T.W., Schwartz I.B. Scaling behavior of laser population dynamics with time-delayed coupling: theory and experiment. Phys. Rev. Lett. 2005, 94:088101.
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 088101
    • Kim, M.Y.1    Roy, R.2    Aron, J.L.3    Carr, T.W.4    Schwartz, I.B.5
  • 33
    • 48249116765 scopus 로고    scopus 로고
    • Stable phase-locking of an external-cavity diode laser subjected to external optical injection
    • Kumar P., Prasad A., Gosh R. Stable phase-locking of an external-cavity diode laser subjected to external optical injection. J. Phys. B 2008, 41:135402.
    • (2008) J. Phys. B , vol.41 , pp. 135402
    • Kumar, P.1    Prasad, A.2    Gosh, R.3
  • 34
    • 0035401610 scopus 로고    scopus 로고
    • Dynamical variability of two oceans and an atmosphere
    • Gallego B., Cessi P. Dynamical variability of two oceans and an atmosphere. J. Clim. 2001, 14:2815-2832.
    • (2001) J. Clim. , vol.14 , pp. 2815-2832
    • Gallego, B.1    Cessi, P.2
  • 35
    • 0035474722 scopus 로고    scopus 로고
    • Synchronization effects in a dual-wavelength class-B laser with modulated losses
    • Kuntsevich B.F., Pisarchik A.N. Synchronization effects in a dual-wavelength class-B laser with modulated losses. Phys. Rev. E 2001, 64:046221.
    • (2001) Phys. Rev. E , vol.64 , pp. 046221
    • Kuntsevich, B.F.1    Pisarchik, A.N.2
  • 36
    • 0001576432 scopus 로고    scopus 로고
    • Collective modes of three coupled relaxation oscillators: the influence of detuning
    • Ruwisch D., Bode M., Volkov D., Volkov E. Collective modes of three coupled relaxation oscillators: the influence of detuning. Internat. J. Bifur. Chaos 1999, 9:1969-1981.
    • (1999) Internat. J. Bifur. Chaos , vol.9 , pp. 1969-1981
    • Ruwisch, D.1    Bode, M.2    Volkov, D.3    Volkov, E.4
  • 38
    • 28844492202 scopus 로고    scopus 로고
    • Amplitude death in coupled chaotic oscillators
    • Prasad A. Amplitude death in coupled chaotic oscillators. Phys. Rev. E 2005, 72:056204.
    • (2005) Phys. Rev. E , vol.72 , pp. 056204
    • Prasad, A.1
  • 39
    • 84866893803 scopus 로고    scopus 로고
    • Inhomogeneous stationary and oscillatory regimes in coupled chaotic oscillators
    • Liu W., Volkov E., Xiao J., Zou W., Zhang M., Yang J. Inhomogeneous stationary and oscillatory regimes in coupled chaotic oscillators. Chaos 2012, 22:033144.
    • (2012) Chaos , vol.22 , pp. 033144
    • Liu, W.1    Volkov, E.2    Xiao, J.3    Zou, W.4    Zhang, M.5    Yang, J.6
  • 40
    • 0000103711 scopus 로고
    • Extinction of oscillations in forced and coupled reaction cells
    • Dolnik M., Marek M. Extinction of oscillations in forced and coupled reaction cells. J. Phys. Chem. 1988, 92:2452-2455.
    • (1988) J. Phys. Chem. , vol.92 , pp. 2452-2455
    • Dolnik, M.1    Marek, M.2
  • 41
    • 0001130397 scopus 로고
    • Oscillator death in populations of all to all coupled nonlinear oscillators
    • Ermentrout G.B. Oscillator death in populations of all to all coupled nonlinear oscillators. Physica D 1990, 41:219-231.
    • (1990) Physica D , vol.41 , pp. 219-231
    • Ermentrout, G.B.1
  • 42
    • 77349110426 scopus 로고    scopus 로고
    • Singular Hopf bifurcations and mixed-mode oscillations in a two-cell inhibitory neural network
    • Curtu R. Singular Hopf bifurcations and mixed-mode oscillations in a two-cell inhibitory neural network. Physica D 2010, 239:504-514.
    • (2010) Physica D , vol.239 , pp. 504-514
    • Curtu, R.1
  • 43
    • 19944377766 scopus 로고    scopus 로고
    • Synchrony in a population of hysteresis-based genetic oscillators
    • Kuznetsov A., Kaern M., Kopell N. Synchrony in a population of hysteresis-based genetic oscillators. SIAM J. Appl. Math. 2005, 65:392-426.
    • (2005) SIAM J. Appl. Math. , vol.65 , pp. 392-426
    • Kuznetsov, A.1    Kaern, M.2    Kopell, N.3
  • 44
    • 34047145964 scopus 로고    scopus 로고
    • Inherent multistability in arrays of autoinducer coupled genetic oscillators
    • Koseska A., Volkov E., Zaikin A., Kurths J. Inherent multistability in arrays of autoinducer coupled genetic oscillators. Phys. Rev. E 2007, 75:031916.
    • (2007) Phys. Rev. E , vol.75 , pp. 031916
    • Koseska, A.1    Volkov, E.2    Zaikin, A.3    Kurths, J.4
  • 46
    • 0002011401 scopus 로고
    • The chemical basis of morphogenesis
    • Turing A. The chemical basis of morphogenesis. Philos. Trans. R. Soc. Lond. 1952, 237:37-72.
    • (1952) Philos. Trans. R. Soc. Lond. , vol.237 , pp. 37-72
    • Turing, A.1
  • 47
    • 36849102494 scopus 로고
    • Symmetry breaking instabilities in dissipative systems
    • Prigogine I., Lefever R. Symmetry breaking instabilities in dissipative systems. J. Chem. Phys. 1968, 48:1695-1700.
    • (1968) J. Chem. Phys. , vol.48 , pp. 1695-1700
    • Prigogine, I.1    Lefever, R.2
  • 48
    • 45949119553 scopus 로고
    • An analytical and numerical study of the bifurcations in a system of linearly coupled oscillators
    • Aronson D., Doedel E., Othmer H. An analytical and numerical study of the bifurcations in a system of linearly coupled oscillators. Physica D 1987, 25:20-104.
    • (1987) Physica D , vol.25 , pp. 20-104
    • Aronson, D.1    Doedel, E.2    Othmer, H.3
  • 49
    • 0025388272 scopus 로고
    • Oscillator death in systems of coupled neural oscillators
    • Ermentrout G.B., Kopell N. Oscillator death in systems of coupled neural oscillators. SIAM J. Appl. Math. 1990, 50:125-146.
    • (1990) SIAM J. Appl. Math. , vol.50 , pp. 125-146
    • Ermentrout, G.B.1    Kopell, N.2
  • 50
    • 34147192429 scopus 로고
    • Amplitude death in an array of limit-cycle oscillators
    • Mirollo R.E., Strogatz S.H. Amplitude death in an array of limit-cycle oscillators. J. Stat. Phys. 1990, 60:245-262.
    • (1990) J. Stat. Phys. , vol.60 , pp. 245-262
    • Mirollo, R.E.1    Strogatz, S.H.2
  • 51
    • 84870057673 scopus 로고    scopus 로고
    • Amplitude death: the emergence of stationarity in coupled nonlinear systems
    • Saxena G., Prasad A., Ramaswamy R. Amplitude death: the emergence of stationarity in coupled nonlinear systems. Phys. Rep. 2012, 521:205-228.
    • (2012) Phys. Rep. , vol.521 , pp. 205-228
    • Saxena, G.1    Prasad, A.2    Ramaswamy, R.3
  • 52
    • 0035797331 scopus 로고    scopus 로고
    • Experimentally coupled thermokinetic oscillators: phase death and rhythmogenesis
    • Zeyer K.P., Mangold M., Gilles E.D. Experimentally coupled thermokinetic oscillators: phase death and rhythmogenesis. J. Phys. Chem. 2001, 105:7216-7224.
    • (2001) J. Phys. Chem. , vol.105 , pp. 7216-7224
    • Zeyer, K.P.1    Mangold, M.2    Gilles, E.D.3
  • 53
    • 79051468900 scopus 로고    scopus 로고
    • A study of phase death states in a coupled system with stable equilibria
    • Zhu Y., Qian X., Yang J. A study of phase death states in a coupled system with stable equilibria. Eur. Phys. Lett. 2008, 82:4001.
    • (2008) Eur. Phys. Lett. , vol.82 , pp. 4001
    • Zhu, Y.1    Qian, X.2    Yang, J.3
  • 54
    • 57249086523 scopus 로고    scopus 로고
    • Mechanisms for frequency control in neuronal competition models
    • Curtu R., Shpiro A., Rubin N., Rinzel J. Mechanisms for frequency control in neuronal competition models. SIAM J. Appl. Dyn. Syst. 2008, 9:609-649.
    • (2008) SIAM J. Appl. Dyn. Syst. , vol.9 , pp. 609-649
    • Curtu, R.1    Shpiro, A.2    Rubin, N.3    Rinzel, J.4
  • 56
    • 80455131192 scopus 로고    scopus 로고
    • Oscillatory protein expression dynamics endows stem cell with robust differentiation potential
    • Suzuki N., Furusawa C., Kaneko K. Oscillatory protein expression dynamics endows stem cell with robust differentiation potential. PLoS One 2011, 6:e27232.
    • (2011) PLoS One , vol.6
    • Suzuki, N.1    Furusawa, C.2    Kaneko, K.3
  • 57
    • 78651359392 scopus 로고    scopus 로고
    • Detuning-dependent dominance of oscillation death in globally coupled synthetic genetic oscillators
    • Koseska A., Volkov E., Kurths J. Detuning-dependent dominance of oscillation death in globally coupled synthetic genetic oscillators. Europhys. Lett. 2009, 85:28002.
    • (2009) Europhys. Lett. , vol.85 , pp. 28002
    • Koseska, A.1    Volkov, E.2    Kurths, J.3
  • 58
    • 77954518979 scopus 로고    scopus 로고
    • Parameter mismatches and oscillation death in coupled oscillators
    • Koseska A., Volkov E., Kurths J. Parameter mismatches and oscillation death in coupled oscillators. Chaos 2010, 20:023132.
    • (2010) Chaos , vol.20 , pp. 023132
    • Koseska, A.1    Volkov, E.2    Kurths, J.3
  • 59
    • 34948872504 scopus 로고    scopus 로고
    • Multistability and clustering in a population of synthetic genetic oscillators via phase-repulsive cell-to-cell communication
    • Ullner E., Zaikin A., Volkov E.I., García-Ojalvo J. Multistability and clustering in a population of synthetic genetic oscillators via phase-repulsive cell-to-cell communication. Phys. Rev. Lett. 2007, 99:148103.
    • (2007) Phys. Rev. Lett. , vol.99 , pp. 148103
    • Ullner, E.1    Zaikin, A.2    Volkov, E.I.3    García-Ojalvo, J.4
  • 60
    • 0041511883 scopus 로고    scopus 로고
    • Total and partial amplitude death in networks of diffusively coupled oscillators
    • Atay F.M. Total and partial amplitude death in networks of diffusively coupled oscillators. Physica D 2003, 183:1-18.
    • (2003) Physica D , vol.183 , pp. 1-18
    • Atay, F.M.1
  • 61
    • 84880096194 scopus 로고    scopus 로고
    • Transition from amplitude to oscillation death via Turing bifurcation
    • Koseska A., Volkov E., Kurths J. Transition from amplitude to oscillation death via Turing bifurcation. Phys. Rev. Lett. 2013, 111:024103.
    • (2013) Phys. Rev. Lett. , vol.111 , pp. 024103
    • Koseska, A.1    Volkov, E.2    Kurths, J.3
  • 64
    • 0021835107 scopus 로고
    • On the stability of coupled chemical oscillators
    • Bar-Eli K. On the stability of coupled chemical oscillators. Physica D 1985, 14:242-252.
    • (1985) Physica D , vol.14 , pp. 242-252
    • Bar-Eli, K.1
  • 65
    • 33646198964 scopus 로고    scopus 로고
    • Diffusion of calcium and metabolites in pancreatic islets: killing oscillations with a pitchfork
    • Tsaneva-Atanasova K., Zimliki C.L., Bertram R., Sherman A. Diffusion of calcium and metabolites in pancreatic islets: killing oscillations with a pitchfork. Biophys. J. 2006, 90:1-13.
    • (2006) Biophys. J. , vol.90 , pp. 1-13
    • Tsaneva-Atanasova, K.1    Zimliki, C.L.2    Bertram, R.3    Sherman, A.4
  • 66
    • 54749124948 scopus 로고    scopus 로고
    • Diffusively coupled chemical oscillators in a microfluidic assembly
    • Toiya M., Vanag V., Epstein I. Diffusively coupled chemical oscillators in a microfluidic assembly. Angew. Chem., Int. Ed. 2008, 47:7753-7755.
    • (2008) Angew. Chem., Int. Ed. , vol.47 , pp. 7753-7755
    • Toiya, M.1    Vanag, V.2    Epstein, I.3
  • 67
    • 0002063347 scopus 로고
    • Bifurcations in the system of two identical diffusively coupled Brusselators
    • Volkov E., Romanov V.A. Bifurcations in the system of two identical diffusively coupled Brusselators. Phys. Scr. 1995, 51:19-28.
    • (1995) Phys. Scr. , vol.51 , pp. 19-28
    • Volkov, E.1    Romanov, V.A.2
  • 68
    • 0034688173 scopus 로고    scopus 로고
    • A synthetic oscillatory network of transcriptional regulators
    • Elowitz M.B., Leibler S. A synthetic oscillatory network of transcriptional regulators. Nature 2000, 403:335-338.
    • (2000) Nature , vol.403 , pp. 335-338
    • Elowitz, M.B.1    Leibler, S.2
  • 69
    • 0009543045 scopus 로고
    • Birhythmicity in a system of two coupled identical oscillators
    • Volkov E.I., Stolyarov M.N. Birhythmicity in a system of two coupled identical oscillators. Phys. Lett. A 1991, 159:61-66.
    • (1991) Phys. Lett. A , vol.159 , pp. 61-66
    • Volkov, E.I.1    Stolyarov, M.N.2
  • 71
    • 3342965723 scopus 로고    scopus 로고
    • Modeling a synthetic multicellular clock: repressilators coupled by quorum sensing
    • García-Ojalvo J., Elowitz M.B., Strogatz S. Modeling a synthetic multicellular clock: repressilators coupled by quorum sensing. Proc. Natl. Acad. Sci. USA 2004, 101:10955-10960.
    • (2004) Proc. Natl. Acad. Sci. USA , vol.101 , pp. 10955-10960
    • García-Ojalvo, J.1    Elowitz, M.B.2    Strogatz, S.3
  • 72
    • 18444389980 scopus 로고    scopus 로고
    • Synchronizing genetic oscillators by signalling molecules
    • Wang R., Chen L. Synchronizing genetic oscillators by signalling molecules. J Biol. Rhyth. 2005, 20:257-269.
    • (2005) J Biol. Rhyth. , vol.20 , pp. 257-269
    • Wang, R.1    Chen, L.2
  • 73
    • 0038241770 scopus 로고    scopus 로고
    • Development of genetic circuitry exhibiting toggle switch or oscillatory behavior in Escherichia coli
    • Atkinson M.R., Savageau M.A., Myers J.T., Ninfa A.J. Development of genetic circuitry exhibiting toggle switch or oscillatory behavior in Escherichia coli. Cell 2003, 113:597-607.
    • (2003) Cell , vol.113 , pp. 597-607
    • Atkinson, M.R.1    Savageau, M.A.2    Myers, J.T.3    Ninfa, A.J.4
  • 75
    • 80053321531 scopus 로고    scopus 로고
    • Synthetic multicellular oscillatory systems: controlling protein dynamics with genetic circuits
    • Koseska A., Volkov E., Kurths J. Synthetic multicellular oscillatory systems: controlling protein dynamics with genetic circuits. Phys. Scr. 2011, 84:045007.
    • (2011) Phys. Scr. , vol.84 , pp. 045007
    • Koseska, A.1    Volkov, E.2    Kurths, J.3
  • 76
    • 62849096590 scopus 로고    scopus 로고
    • Timing cellular decision making under noise via cell-cell communication
    • Koseska A., Zaikin A., Kurths J., Garcia-Ojalvo J. Timing cellular decision making under noise via cell-cell communication. PLoS One 2009, 4:e4872.
    • (2009) PLoS One , vol.4
    • Koseska, A.1    Zaikin, A.2    Kurths, J.3    Garcia-Ojalvo, J.4
  • 77
    • 0034688174 scopus 로고    scopus 로고
    • Construction of a genetic toggle switch in escherichia coli
    • Gardner T.S., Cantor C.R., Collins J.J. Construction of a genetic toggle switch in escherichia coli. Nature 2000, 403:339-342.
    • (2000) Nature , vol.403 , pp. 339-342
    • Gardner, T.S.1    Cantor, C.R.2    Collins, J.J.3
  • 79
    • 39249083302 scopus 로고    scopus 로고
    • Spatiotemporal symmetry in rings of coupled biological oscillators of physarum plasmodial slime mold
    • Takamatsu A., Tanaka R., Yamada H., Nakagaki T., Fujii T., Endo I. Spatiotemporal symmetry in rings of coupled biological oscillators of physarum plasmodial slime mold. Phys. Rev. Lett. 2001, 87:078102.
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 078102
    • Takamatsu, A.1    Tanaka, R.2    Yamada, H.3    Nakagaki, T.4    Fujii, T.5    Endo, I.6
  • 80
    • 40549138781 scopus 로고    scopus 로고
    • Destabilization patterns in chains of coupled oscillators
    • Yanchuk S., Wolfrum M. Destabilization patterns in chains of coupled oscillators. Phys. Rev. E 2008, 77:026212.
    • (2008) Phys. Rev. E , vol.77 , pp. 026212
    • Yanchuk, S.1    Wolfrum, M.2
  • 82
    • 78650686587 scopus 로고    scopus 로고
    • Topological structures enhance the presence of dynamical regimes in synthetic networks
    • Koseska A., Kurths J. Topological structures enhance the presence of dynamical regimes in synthetic networks. Chaos 2010, 20:045111.
    • (2010) Chaos , vol.20 , pp. 045111
    • Koseska, A.1    Kurths, J.2
  • 83
    • 0017706103 scopus 로고
    • A mathematical model of periodic processes in membranes (with application to cell cycle regulation)
    • Chernavskii D.S., Palamarchuk E.K., Polezhaev A.A., Solyanik G.I., Burakova E.B. A mathematical model of periodic processes in membranes (with application to cell cycle regulation). BioSystems 1977, 9:187-193.
    • (1977) BioSystems , vol.9 , pp. 187-193
    • Chernavskii, D.S.1    Palamarchuk, E.K.2    Polezhaev, A.A.3    Solyanik, G.I.4    Burakova, E.B.5
  • 85
    • 3242697081 scopus 로고    scopus 로고
    • 2+ oscillations in cell clusters prepared from single or multiple mouse pancreatic islets
    • 2+ oscillations in cell clusters prepared from single or multiple mouse pancreatic islets. Am. J. Physiol. Endocrinol. Metab. 2004, 287:E340-E347.
    • (2004) Am. J. Physiol. Endocrinol. Metab. , vol.287
    • Zarkovic, M.1    Henquin, J.C.2
  • 86
    • 51849146521 scopus 로고    scopus 로고
    • Multistability of synthetic genetic networks with repressive cell-to-cell communication
    • Ullner E., Koseska A., Kurths J., Volkov E., Kantz H., García-Ojalvo J. Multistability of synthetic genetic networks with repressive cell-to-cell communication. Phys. Rev. E 2008, 78:031904.
    • (2008) Phys. Rev. E , vol.78 , pp. 031904
    • Ullner, E.1    Koseska, A.2    Kurths, J.3    Volkov, E.4    Kantz, H.5    García-Ojalvo, J.6
  • 87
    • 0000010396 scopus 로고
    • Coupling among three chemical oscillators: synchronization, phase death, and frustration
    • Yoshimoto M., Yoshikawa K., Mori Y. Coupling among three chemical oscillators: synchronization, phase death, and frustration. Phys. Rev. E 1993, 47:864-874.
    • (1993) Phys. Rev. E , vol.47 , pp. 864-874
    • Yoshimoto, M.1    Yoshikawa, K.2    Mori, Y.3
  • 88
    • 5544275948 scopus 로고
    • Coupling of identical chemical oscillators
    • Bar-Eli K. Coupling of identical chemical oscillators. J. Phys. Chem. 1990, 94:2368-2374.
    • (1990) J. Phys. Chem. , vol.94 , pp. 2368-2374
    • Bar-Eli, K.1
  • 89
    • 0016659905 scopus 로고
    • Control of mitosis by a continuous biochemical oscillation: synchronization;spatially inhomogeneous oscillations
    • Tyson J., Kauffman S. Control of mitosis by a continuous biochemical oscillation: synchronization;spatially inhomogeneous oscillations. J. Math. Biol. 1975, 1:289-310.
    • (1975) J. Math. Biol. , vol.1 , pp. 289-310
    • Tyson, J.1    Kauffman, S.2
  • 92
    • 33646877249 scopus 로고    scopus 로고
    • Antiphase synchronization in coupled chaotic oscillators
    • Liu W., Xiao J.H., Qian X.L., Yang J. Antiphase synchronization in coupled chaotic oscillators. Phys. Rev. E 2006, 73:057203.
    • (2006) Phys. Rev. E , vol.73 , pp. 057203
    • Liu, W.1    Xiao, J.H.2    Qian, X.L.3    Yang, J.4
  • 93
    • 0001610216 scopus 로고    scopus 로고
    • Steady state locking in coupled chaotic systems
    • Stefanoski A., Kapitanik T. Steady state locking in coupled chaotic systems. Phys. Lett. A 1996, 210:279.
    • (1996) Phys. Lett. A , vol.210 , pp. 279
    • Stefanoski, A.1    Kapitanik, T.2
  • 94
    • 0000655970 scopus 로고    scopus 로고
    • Phase synchronization effects in a lattice of nonidentical Rössler oscillators
    • Osipov G., Pikovsky A., Rosenblum M., Kurths J. Phase synchronization effects in a lattice of nonidentical Rössler oscillators. Phys. Rev. E 1997, 55:2353-2361.
    • (1997) Phys. Rev. E , vol.55 , pp. 2353-2361
    • Osipov, G.1    Pikovsky, A.2    Rosenblum, M.3    Kurths, J.4
  • 96
    • 70350217440 scopus 로고    scopus 로고
    • Dynamics of chaotic systems with attractive and repulsive couplings
    • Chen Y., Xiao J., Liu W., Li L., Yang Y. Dynamics of chaotic systems with attractive and repulsive couplings. Phys. Rev. E 2009, 80:046206.
    • (2009) Phys. Rev. E , vol.80 , pp. 046206
    • Chen, Y.1    Xiao, J.2    Liu, W.3    Li, L.4    Yang, Y.5
  • 97
    • 0242538118 scopus 로고
    • A simple self-sustained generator with stochastic behavior
    • Pikovsky A.S., Rabinovich M.I. A simple self-sustained generator with stochastic behavior. Sov. Phys. Dokl. 1978, 23:183.
    • (1978) Sov. Phys. Dokl. , vol.23 , pp. 183
    • Pikovsky, A.S.1    Rabinovich, M.I.2
  • 98
    • 0017736855 scopus 로고
    • Pattern formation by the global limits of a nonlinear competitive interaction in n dimensions
    • Grossberg S. Pattern formation by the global limits of a nonlinear competitive interaction in n dimensions. J. Math. Biol. 1977, 4:237-256.
    • (1977) J. Math. Biol. , vol.4 , pp. 237-256
    • Grossberg, S.1
  • 99
    • 0035379766 scopus 로고    scopus 로고
    • A computational model action selection in the basal ganglia (i): a new functional anatomy
    • Gurney K., Prescott T.J., Redgrave P. A computational model action selection in the basal ganglia (i): a new functional anatomy. Biol. Cybernet. 2001, 84:401-410.
    • (2001) Biol. Cybernet. , vol.84 , pp. 401-410
    • Gurney, K.1    Prescott, T.J.2    Redgrave, P.3
  • 100
    • 33846074352 scopus 로고    scopus 로고
    • Dynamics of winner-take-all competition in recurrent neural networks with lateral inhibition
    • Mao Z.H., Massaquoi S.G. Dynamics of winner-take-all competition in recurrent neural networks with lateral inhibition. IEEE Trans. Neural Netw. 2007, 18:55-69.
    • (2007) IEEE Trans. Neural Netw. , vol.18 , pp. 55-69
    • Mao, Z.H.1    Massaquoi, S.G.2
  • 102
    • 0034317662 scopus 로고    scopus 로고
    • Disorder can eliminate oscillator death
    • Rubchinsky L., Sushchik M. Disorder can eliminate oscillator death. Phys. Rev. E 2000, 62:6440-6446.
    • (2000) Phys. Rev. E , vol.62 , pp. 6440-6446
    • Rubchinsky, L.1    Sushchik, M.2
  • 103
    • 0009244465 scopus 로고    scopus 로고
    • Out-of-phase mixed-mode oscillations of two strongly coupled identical relaxation oscillators
    • Stolyarov M.N., Romanov V.A., Volkov E. Out-of-phase mixed-mode oscillations of two strongly coupled identical relaxation oscillators. Phys. Rev. E 1996, 54:163-169.
    • (1996) Phys. Rev. E , vol.54 , pp. 163-169
    • Stolyarov, M.N.1    Romanov, V.A.2    Volkov, E.3
  • 104
    • 36749113474 scopus 로고
    • An experimental study of multiple peak periodic and nonperiodic oscillations in the Belousov-Zhabotinskii reaction
    • Hudson J., Hart M., Marinko D. An experimental study of multiple peak periodic and nonperiodic oscillations in the Belousov-Zhabotinskii reaction. J. Chem. Phys. 1979, 71:1601-1606.
    • (1979) J. Chem. Phys. , vol.71 , pp. 1601-1606
    • Hudson, J.1    Hart, M.2    Marinko, D.3
  • 105
    • 0009197412 scopus 로고
    • Mixed-mode oscillations in chemical systems
    • Petrov V., Scott S.K., Showalter K. Mixed-mode oscillations in chemical systems. J. Chem. Phys. 1992, 97:6191-6198.
    • (1992) J. Chem. Phys. , vol.97 , pp. 6191-6198
    • Petrov, V.1    Scott, S.K.2    Showalter, K.3
  • 106
    • 33644860455 scopus 로고    scopus 로고
    • Transient high-frequency firing in a coupled-oscillator model of the mesencephalic dopaminergic neuron
    • Kuznetsov A., Kopell N., Wilson C. Transient high-frequency firing in a coupled-oscillator model of the mesencephalic dopaminergic neuron. J. Neurophysiol. 2006, 95:932-947.
    • (2006) J. Neurophysiol. , vol.95 , pp. 932-947
    • Kuznetsov, A.1    Kopell, N.2    Wilson, C.3
  • 108
    • 0036219109 scopus 로고    scopus 로고
    • Periodicity, mixed-mode oscillations, and quasiperiodicity in a rhythm-generating neural network
    • del Negro C.A., Wilson C.G., Butera R.J., Rigatto H., Smith J.C. Periodicity, mixed-mode oscillations, and quasiperiodicity in a rhythm-generating neural network. Biophys. J. 2002, 82:206-214.
    • (2002) Biophys. J. , vol.82 , pp. 206-214
    • del Negro, C.A.1    Wilson, C.G.2    Butera, R.J.3    Rigatto, H.4    Smith, J.C.5
  • 109
    • 0024965794 scopus 로고
    • +-dependent theta like rhythmicity in stellate cells of entorhinal cortex layer II
    • +-dependent theta like rhythmicity in stellate cells of entorhinal cortex layer II. Nature 1989, 342:175-177.
    • (1989) Nature , vol.342 , pp. 175-177
    • Alonso, A.A.1    Linas, R.R.2
  • 110
    • 0002045101 scopus 로고
    • Theory of self-synchronization in the presence of native frequency distribution and external noises
    • Yamaguchi Y., Shimizu H. Theory of self-synchronization in the presence of native frequency distribution and external noises. Physica D 1984, 11:212-226.
    • (1984) Physica D , vol.11 , pp. 212-226
    • Yamaguchi, Y.1    Shimizu, H.2
  • 112
    • 4944262460 scopus 로고    scopus 로고
    • Synchronization and oscillator death in oscillatory media with stirring
    • Neufeld Z., Kiss I., Zhou C., Kurths J. Synchronization and oscillator death in oscillatory media with stirring. Phys. Rev. Lett. 2003, 91:084101.
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 084101
    • Neufeld, Z.1    Kiss, I.2    Zhou, C.3    Kurths, J.4
  • 113
    • 79959980469 scopus 로고    scopus 로고
    • Peculiarities of the transitions to synchronization in coupled systems with amplitude death
    • Astakhov V., Koblyanski S., Shabunin A., Kapitaniak T. Peculiarities of the transitions to synchronization in coupled systems with amplitude death. Chaos 2011, 21:023127.
    • (2011) Chaos , vol.21 , pp. 023127
    • Astakhov, V.1    Koblyanski, S.2    Shabunin, A.3    Kapitaniak, T.4
  • 114
    • 37649026508 scopus 로고    scopus 로고
    • Amplitude death through a Hopf bifurcation in coupled electrochemical oscillators: experiments and simulations
    • Zhai Y., Kiss I.Z., Hudson J.L. Amplitude death through a Hopf bifurcation in coupled electrochemical oscillators: experiments and simulations. Phys. Rev. E 2004, 69:026208.
    • (2004) Phys. Rev. E , vol.69 , pp. 026208
    • Zhai, Y.1    Kiss, I.Z.2    Hudson, J.L.3
  • 115
    • 34547838793 scopus 로고    scopus 로고
    • Amplitude death in coupled chaotic solid-state lasers with cavity-configuration-dependent instabilities
    • Wei M., Lun J. Amplitude death in coupled chaotic solid-state lasers with cavity-configuration-dependent instabilities. Appl. Phys. Lett. 2007, 91:061121.
    • (2007) Appl. Phys. Lett. , vol.91 , pp. 061121
    • Wei, M.1    Lun, J.2
  • 117
    • 0000068964 scopus 로고    scopus 로고
    • Time delay induced death in coupled limity cycle oscillators
    • Reddy D.V.R., Sen A., Johnston G.L. Time delay induced death in coupled limity cycle oscillators. Phys. Rev. Lett. 1998, 80:5109-5112.
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 5109-5112
    • Reddy, D.V.R.1    Sen, A.2    Johnston, G.L.3
  • 118
    • 0347963951 scopus 로고    scopus 로고
    • Time delay effects on coupled limit cycle oscillators at Hopf bifurcation
    • Reddy D.V.R., Sen A., Johnston G.L. Time delay effects on coupled limit cycle oscillators at Hopf bifurcation. Physica D 1999, 129:15-34.
    • (1999) Physica D , vol.129 , pp. 15-34
    • Reddy, D.V.R.1    Sen, A.2    Johnston, G.L.3
  • 119
    • 9744234606 scopus 로고    scopus 로고
    • Distributed delays facilitate amplitude death of coupled oscillators
    • Atay F.M. Distributed delays facilitate amplitude death of coupled oscillators. Phys. Rev. Lett. 2003, 91:094101.
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 094101
    • Atay, F.M.1
  • 120
    • 45849154658 scopus 로고    scopus 로고
    • Phase-locked patterns and amplitude death in a ring of delay-coupled limit cycle oscillators
    • Dodla R., Sen A., Johnston G.L. Phase-locked patterns and amplitude death in a ring of delay-coupled limit cycle oscillators. Phys. Rev. E 2004, 69:056217.
    • (2004) Phys. Rev. E , vol.69 , pp. 056217
    • Dodla, R.1    Sen, A.2    Johnston, G.L.3
  • 121
    • 0001002120 scopus 로고    scopus 로고
    • Experimental oscillations of the amplitude death effect in two coupled nonlinear oscillators
    • Herrero R., Figueras M., Rius J., Pi F., Orriols G. Experimental oscillations of the amplitude death effect in two coupled nonlinear oscillators. Phys. Rev. Lett. 2000, 84:5312-5315.
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 5312-5315
    • Herrero, R.1    Figueras, M.2    Rius, J.3    Pi, F.4    Orriols, G.5
  • 122
    • 0000537955 scopus 로고    scopus 로고
    • Experimental evidence of time-delay-induced death in coupled limity cycle oscillators
    • Reddy D.V.R., Sen A., Johnston G.L. Experimental evidence of time-delay-induced death in coupled limity cycle oscillators. Phys. Rev. Lett. 2000, 85:3381-3384.
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 3381-3384
    • Reddy, D.V.R.1    Sen, A.2    Johnston, G.L.3
  • 123
    • 34548850400 scopus 로고    scopus 로고
    • Amplitude death in the absence of time delays in identical coupled oscillators
    • 035201(R)
    • Karnatak R., Ramaswamy R., Prasad A. Amplitude death in the absence of time delays in identical coupled oscillators. Phys. Rev. E 2007, 76:035201(R).
    • (2007) Phys. Rev. E , vol.76
    • Karnatak, R.1    Ramaswamy, R.2    Prasad, A.3
  • 124
    • 78651353368 scopus 로고    scopus 로고
    • Eliminating delay-induced oscillation death by gradient coupling
    • Zou W., Yao C., Zhan M. Eliminating delay-induced oscillation death by gradient coupling. Phys. Rev. E 2010, 82:056203.
    • (2010) Phys. Rev. E , vol.82 , pp. 056203
    • Zou, W.1    Yao, C.2    Zhan, M.3
  • 125
    • 34547333298 scopus 로고    scopus 로고
    • Transition to amplitude death in a regular array of nonlinear oscillators
    • Yang J. Transition to amplitude death in a regular array of nonlinear oscillators. Phys. Rev. E 2007, 76:016204.
    • (2007) Phys. Rev. E , vol.76 , pp. 016204
    • Yang, J.1
  • 126
    • 80054966681 scopus 로고    scopus 로고
    • General mechanism for amplitude death in coupled systems
    • Resmi V., Ambika G., Amritkar R. General mechanism for amplitude death in coupled systems. Phys. Rev. E 2011, 84:046212.
    • (2011) Phys. Rev. E , vol.84 , pp. 046212
    • Resmi, V.1    Ambika, G.2    Amritkar, R.3
  • 127
    • 0037085946 scopus 로고    scopus 로고
    • Patterns in networks of oscillators formed via synchronization and oscillator death
    • Rubchinsky L., Sushchik M., Osipov G. Patterns in networks of oscillators formed via synchronization and oscillator death. Math. Comput. Simul. 2002, 58:443-467.
    • (2002) Math. Comput. Simul. , vol.58 , pp. 443-467
    • Rubchinsky, L.1    Sushchik, M.2    Osipov, G.3
  • 128
    • 28844473930 scopus 로고    scopus 로고
    • Partial amplitude death in coupled chaotic oscillators
    • Liu W., Xiao J., Yang J. Partial amplitude death in coupled chaotic oscillators. Phys. Rev. E 2005, 72:057201.
    • (2005) Phys. Rev. E , vol.72 , pp. 057201
    • Liu, W.1    Xiao, J.2    Yang, J.3
  • 129
    • 1442297400 scopus 로고
    • Temporal variability generated by coupling of mitotic timers
    • Volkov E., Stolyarov M. Temporal variability generated by coupling of mitotic timers. J. Biol. Syst. 1995, 3:63-78.
    • (1995) J. Biol. Syst. , vol.3 , pp. 63-78
    • Volkov, E.1    Stolyarov, M.2
  • 130
    • 0011465030 scopus 로고
    • A mathematical model of two cells via Turing's equation
    • Springer-Verlag, New York, Heidelberg, Berlin, J.R. Marsden, M. McCracken (Eds.)
    • Smale S. A mathematical model of two cells via Turing's equation. The Hopf Bifurcation and its Application 1974, Springer-Verlag, New York, Heidelberg, Berlin. J.R. Marsden, M. McCracken (Eds.).
    • (1974) The Hopf Bifurcation and its Application
    • Smale, S.1
  • 131
    • 0019405994 scopus 로고
    • Voltage oscillations in the barnacle giant muscle fiber
    • Morris C., Lecar H. Voltage oscillations in the barnacle giant muscle fiber. Biophys. J. 1981, 35:193-213.
    • (1981) Biophys. J. , vol.35 , pp. 193-213
    • Morris, C.1    Lecar, H.2


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