메뉴 건너뛰기




Volumn 10, Issue 10, 2000, Pages 2291-2305

Phase synchronization in regular and chaotic systems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034560056     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127400001481     Document Type: Review
Times cited : (228)

References (63)
  • 2
    • 33646141213 scopus 로고
    • Zur theorie des Mitnehmens von van der Pol
    • Andronov, A. A. & Witt, A. A. [1930b] "Zur theorie des Mitnehmens von van der Pol," Archiv für Elektrotechnik 24(1), 99-110.
    • (1930) Archiv Für Elektrotechnik , vol.24 , Issue.1 , pp. 99-110
    • Andronov, A.A.1    Witt, A.A.2
  • 6
    • 0001941566 scopus 로고
    • Small denominators. I. Mappings of the circumference onto itself
    • in Russian
    • Arnold, V. I. [1961] "Small denominators. I. Mappings of the circumference onto itself," Izv. Akad. Nauk Ser. Mat. 25(1), 21-86 (in Russian); English translation [1961] AMS Transl. Ser. 2 46, 213-284.
    • (1961) Izv. Akad. Nauk Ser. Mat. , vol.25 , Issue.1 , pp. 21-86
    • Arnold, V.I.1
  • 7
    • 0039349569 scopus 로고
    • Arnold, V. I. [1961] "Small denominators. I. Mappings of the circumference onto itself," Izv. Akad. Nauk Ser. Mat. 25(1), 21-86 (in Russian); English translation [1961] AMS Transl. Ser. 2 46, 213-284.
    • (1961) AMS Transl. Ser. 2 , vol.46
  • 9
    • 0004181078 scopus 로고
    • (Nauka, Moscow) in Russian; English translation [1988] (ASME Press, NY)
    • Blekhman, I. I. [1981] Synchronization in Science and Technology (Nauka, Moscow) (in Russian); English translation [1988] (ASME Press, NY).
    • (1981) Synchronization in Science and Technology
    • Blekhman, I.I.1
  • 11
    • 0039941887 scopus 로고
    • Analysis of functioning of two coupled relaxtion generators
    • in Russian
    • Bremsen, A. S. & Feinberg, I. S. [1941] "Analysis of functioning of two coupled relaxtion generators," Zhurnal Technicheskoi Fiziki (J. Techn. Phys.) 11(10) (in Russian), p. 959.
    • (1941) Zhurnal Technicheskoi Fiziki (J. Techn. Phys.) , vol.11 , Issue.10 , pp. 959
    • Bremsen, A.S.1    Feinberg, I.S.2
  • 12
    • 0000386549 scopus 로고
    • On nonlinear differential equations of the second order
    • Cartwright, M. L. & Littlewood, J. E. [1945] "On nonlinear differential equations of the second order," J. London Math. Soc. 20, 180-189.
    • (1945) J. London Math. Soc. , vol.20 , pp. 180-189
    • Cartwright, M.L.1    Littlewood, J.E.2
  • 13
    • 0038536493 scopus 로고
    • Forced oscillations in nearly sinusoidal systems
    • Cartwright, M. L. [1948] "Forced oscillations in nearly sinusoidal systems," J. Inst. Elec. Eng. 95, p. 88.
    • (1948) J. Inst. Elec. Eng. , vol.95 , pp. 88
    • Cartwright, M.L.1
  • 14
    • 0019162604 scopus 로고
    • Stabilography in neurology
    • Cernacek, J. [1980] "Stabilography in neurology," Agressologie 21D, 25-29.
    • (1980) Agressologie , vol.21 D , pp. 25-29
    • Cernacek, J.1
  • 15
    • 0039967074 scopus 로고    scopus 로고
    • Forcing oscillatory media: Phase kinks versus synchronization
    • Chaté, H., Pikovsky, A. & Rudzick, O. [1999] "Forcing oscillatory media: Phase kinks versus synchronization," Physica D131(1-4), 17-30.
    • (1999) Physica , vol.D131 , Issue.1-4 , pp. 17-30
    • Chaté, H.1    Pikovsky, A.2    Rudzick, O.3
  • 16
    • 0001491192 scopus 로고
    • Sur les courbes défines par les équations différentielles à la syrface du tore
    • Denjoy, A. [1932] "Sur les courbes défines par les équations différentielles à la syrface du tore," J. de Matheématiques Pures at Appliquées 11, 333-375.
    • (1932) J. de Matheématiques Pures at Appliquées , vol.11 , pp. 333-375
    • Denjoy, A.1
  • 17
    • 24244469769 scopus 로고    scopus 로고
    • Delay-induced multistable synchronization of biological oscillators
    • Ernst, U., Pawelzik, K. & Geisel, T. [1998] "Delay- induced multistable synchronization of biological oscillators," Phys. Rev. E57(2), 2150-2162.
    • (1998) Phys. Rev. , vol.E57 , Issue.2 , pp. 2150-2162
    • Ernst, U.1    Pawelzik, K.2    Geisel, T.3
  • 18
    • 0028006904 scopus 로고
    • Posturography: Uses and limitations
    • Bailliére Tindall
    • Furman, J. M. [1994] "Posturography: Uses and limitations," Bailliére's Clinical Neurology, Vol. 3 (Bailliére Tindall), pp. 501-513.
    • (1994) Bailliére's Clinical Neurology , vol.3 , pp. 501-513
    • Furman, J.M.1
  • 19
    • 0000293183 scopus 로고
    • Theory of communication
    • Gabor, D. [1946] "Theory of communication," J. IEE London 93(3), 429-457.
    • (1946) J. IEE London , vol.93 , Issue.3 , pp. 429-457
    • Gabor, D.1
  • 21
    • 0000788367 scopus 로고
    • Time structure of the activity in neural network models
    • Gerstner, W. [1995] "Time structure of the activity in neural network models," Phys. Rev. E51(1), 738-758.
    • (1995) Phys. Rev. , vol.E51 , Issue.1 , pp. 738-758
    • Gerstner, W.1
  • 23
    • 0001024209 scopus 로고    scopus 로고
    • Synchronization defects and broken symmetry in spiral waves
    • Goryachev, A., Chaté, H. & Kapral, R. [1998] "Synchronization defects and broken symmetry in spiral waves," Phys. Rev. Lett. 80(4), 873-876.
    • (1998) Phys. Rev. Lett. , vol.80 , Issue.4 , pp. 873-876
    • Goryachev, A.1    Chaté, H.2    Kapral, R.3
  • 27
    • 0001685331 scopus 로고
    • Bifurcations of the forced van der Pol oscillator
    • Holmes, P. & Rand, D. R. [1978] "Bifurcations of the forced van der Pol oscillator," Quart. Appl. Math. 35, 495-509.
    • (1978) Quart. Appl. Math. , vol.35 , pp. 495-509
    • Holmes, P.1    Rand, D.R.2
  • 31
    • 0000875896 scopus 로고    scopus 로고
    • Phase jumps near a phase synchronization transition in systems of two coupled chaotic oscillators
    • Lee, K. J., Kwak, Y. & Lim, T. K. [1998] "Phase jumps near a phase synchronization transition in systems of two coupled chaotic oscillators," Phys. Rev. Lett. 81(2), 321-324.
    • (1998) Phys. Rev. Lett. , vol.81 , Issue.2 , pp. 321-324
    • Lee, K.J.1    Kwak, Y.2    Lim, T.K.3
  • 32
    • 0028018225 scopus 로고
    • Computerized dynamic posturography: Its place in the evolution of patients with dizziness and imbalance
    • Lipp, M. & Longridge, N. S. [1994] "Computerized dynamic posturography: Its place in the evolution of patients with dizziness and imbalance," J. Otolaryngol. 23(3), 177-183.
    • (1994) J. Otolaryngol. , vol.23 , Issue.3 , pp. 177-183
    • Lipp, M.1    Longridge, N.S.2
  • 33
    • 4243958815 scopus 로고    scopus 로고
    • Transverse instability and riddled basins in a system of two coupled logistic maps
    • Maistrenko, Yu. L., Maistrenko, V. L., Popovich, O. & Mosekilde, E. [1998] "Transverse instability and riddled basins in a system of two coupled logistic maps," Phys. Rev. 57(3), 2713-2724.
    • (1998) Phys. Rev. , vol.57 , Issue.3 , pp. 2713-2724
    • Maistrenko, Yu.L.1    Maistrenko, V.L.2    Popovich, O.3    Mosekilde, E.4
  • 35
    • 0041128690 scopus 로고
    • On the n-th kind resonance phenomena
    • Izd. Akademii Nauk, Moscow, in Russian
    • Mandelshtam, L. I. & Papaleksi, N. D. [1947] "On the n-th kind resonance phenomena," in Collected Works by L. I. Mandelshtam, Vol. 2, (Izd. Akademii Nauk, Moscow), pp. 13-20 (in Russian).
    • (1947) Collected Works by L. I. Mandelshtam , vol.2 , pp. 13-20
    • Mandelshtam, L.I.1    Papaleksi, N.D.2
  • 36
    • 0041128685 scopus 로고
    • On the theory of coupled vibrations of two self-excited generators
    • Mayer, A. [1935] "On the theory of coupled vibrations of two self-excited generators," Proc. Gorky State University, Vol. 2, p. 3.
    • (1935) Proc. Gorky State University , vol.2 , pp. 3
    • Mayer, A.1
  • 37
    • 0025567093 scopus 로고
    • Synchronisation of pulse-coupled biological oscillators
    • Mirollo, R. & Strogatz, S. [1990] "Synchronisation of pulse-coupled biological oscillators," SIAM J. Appl. Math. 50, 1645-1662.
    • (1990) SIAM J. Appl. Math. , vol.50 , pp. 1645-1662
    • Mirollo, R.1    Strogatz, S.2
  • 39
    • 0000655970 scopus 로고    scopus 로고
    • Phase synchronization effects in a lattice of nonidentical Rössler oscillators
    • Osipov, G., Pikovsky, A., Rosenblum, M. & Kurths, J. [1997] "Phase synchronization effects in a lattice of nonidentical Rössler oscillators," Phys. Rev. E55(3), 2353-2361.
    • (1997) Phys. Rev. , vol.E55 , Issue.3 , pp. 2353-2361
    • Osipov, G.1    Pikovsky, A.2    Rosenblum, M.3    Kurths, J.4
  • 42
    • 0001963650 scopus 로고    scopus 로고
    • Attractor-repeller collision and eyelet intermittency at the transition to phase synchronization
    • Pikovsky, A., Osipov, G., Rosenblum, M., Zaks, M. & Kurths, J. [1997a] "Attractor-repeller collision and eyelet intermittency at the transition to phase synchronization," Phys. Rev. Lett. 79, 47-50.
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 47-50
    • Pikovsky, A.1    Osipov, G.2    Rosenblum, M.3    Zaks, M.4    Kurths, J.5
  • 43
    • 17444382843 scopus 로고    scopus 로고
    • Phase synchronization of chaotic oscillators by external driving
    • Pikovsky, A., Rosenblum, M., Osipov, G. & Kurths, J. [1997b] "Phase synchronization of chaotic oscillators by external driving," Physica D104, 219-238.
    • (1997) Physica , vol.D104 , pp. 219-238
    • Pikovsky, A.1    Rosenblum, M.2    Osipov, G.3    Kurths, J.4
  • 44
    • 0000931523 scopus 로고
    • Symmetry breaking bifurcation for coupled chaotic attractors
    • Pikovsky, A. S. & Grassberger, P. [1991] "Symmetry breaking bifurcation for coupled chaotic attractors," J. Phys. A24(19), 4587-4597.
    • (1991) J. Phys. , vol.A24 , Issue.19 , pp. 4587-4597
    • Pikovsky, A.S.1    Grassberger, P.2
  • 46
    • 0000326025 scopus 로고    scopus 로고
    • Transition to phase synchronization of chaos
    • Rosa Jr., E., Ott, E. & Hess, M. H. [1998] "Transition to phase synchronization of chaos," Phys. Rev. Lett. 80(8), 1642-1645.
    • (1998) Phys. Rev. Lett. , vol.80 , Issue.8 , pp. 1642-1645
    • Rosa E., Jr.1    Ott, E.2    Hess, M.H.3
  • 47
    • 4243262725 scopus 로고    scopus 로고
    • Phase synchronization of chaotic oscillators
    • Rosenblum, M., Pikovsky, A. & Kurths, J. [1996] "Phase synchronization of chaotic oscillators," Phys. Rev. Lett. 76, p. 1804.
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 1804
    • Rosenblum, M.1    Pikovsky, A.2    Kurths, J.3
  • 48
    • 0031257123 scopus 로고    scopus 로고
    • Effect of phase synchronization in driven chaotic oscillators
    • Rosenblum, M., Pikovsky, A. & Kurths, J. [1997] "Effect of phase synchronization in driven chaotic oscillators," IEEE Trans. CAS-I 44(10), 874-881.
    • (1997) IEEE Trans. CAS-I , vol.44 , Issue.10 , pp. 874-881
    • Rosenblum, M.1    Pikovsky, A.2    Kurths, J.3
  • 49
    • 0007876532 scopus 로고    scopus 로고
    • Human postural control: Force plate experiments and modelling
    • Kantz, H., Kurths, J. & Mayer-Kress, G. Springer, Berlin
    • Rosenblum, M. G., Firsov, G. I., Kuuz, R. A. & Pompe, B. [1998] "Human postural control: Force plate experiments and modelling," Nonlinear Analysis of Physiological Data, eds. Kantz, H., Kurths, J. & Mayer-Kress, G. (Springer, Berlin), pp. 283-306.
    • (1998) Nonlinear Analysis of Physiological Data , pp. 283-306
    • Rosenblum, M.G.1    Firsov, G.I.2    Kuuz, R.A.3    Pompe, B.4
  • 50
    • 0002777702 scopus 로고    scopus 로고
    • Analysing synchronization phenomena from bivariate data by means of the Hilbert transform
    • Kantz, H., Kurths, J. & Mayer- Kress, G. Springer, Berlin
    • Rosenblum, M. G. & Kurths, J. [1998] "Analysing synchronization phenomena from bivariate data by means of the Hilbert transform," Nonlinear Analysis of Physiological Data, eds. Kantz, H., Kurths, J. & Mayer- Kress, G. (Springer, Berlin), pp. 91-99.
    • (1998) Nonlinear Analysis of Physiological Data , pp. 91-99
    • Rosenblum, M.G.1    Kurths, J.2
  • 52
    • 2642666488 scopus 로고    scopus 로고
    • Heartbeat synchronized with ventilation
    • Schäfer, C., Rosenblum, M. G., Kurths, J. & Abel, H.-H. [1998] "Heartbeat synchronized with ventilation," Nature 392(6673), 239-240.
    • (1998) Nature , vol.392 , Issue.6673 , pp. 239-240
    • Schäfer, C.1    Rosenblum, M.G.2    Kurths, J.3    Abel, H.-H.4
  • 53
    • 0033167720 scopus 로고    scopus 로고
    • Synchronization in the human cardiorespiratory system
    • Schäfer, C., Rosenblum, M. G., Abel, H.-H. & Kurths, J. [1999] "Synchronization in the human cardiorespiratory system," Phys. Rev. E60, 857-870.
    • (1999) Phys. Rev. , vol.E60 , pp. 857-870
    • Schäfer, C.1    Rosenblum, M.G.2    Abel, H.-H.3    Kurths, J.4
  • 54
    • 0000012386 scopus 로고
    • Mean switching frequency locking in stochastic bistable systems driven by a periodic force
    • Shulgin, B., Neiman, A. & Anishchenko, V. [1995] "Mean switching frequency locking in stochastic bistable systems driven by a periodic force," Phys. Rev. Lett. 75(23), 4157-4160.
    • (1995) Phys. Rev. Lett. , vol.75 , Issue.23 , pp. 4157-4160
    • Shulgin, B.1    Neiman, A.2    Anishchenko, V.3
  • 55
    • 0000642649 scopus 로고
    • Oscillator synchronization in the presence of noise
    • in Russian
    • Stratonovich, R. L. [1958] "Oscillator synchronization in the presence of noise," Radiotechnika i Elektronika 3(4), p. 497 (in Russian); English translation [1965] Nonlinear Transformations of Stochastic Processes, eds. Kuznetsov, P. I., Stratonovich, R. L. & Tikhonov, V. I. (Pergamon Press, Oxford, London), pp. 269-282.
    • (1958) Radiotechnika i Elektronika , vol.3 , Issue.4 , pp. 497
    • Stratonovich, R.L.1
  • 56
    • 0041128691 scopus 로고
    • Pergamon Press, Oxford, London
    • Stratonovich, R. L. [1958] "Oscillator synchronization in the presence of noise," Radiotechnika i Elektronika 3(4), p. 497 (in Russian); English translation [1965] Nonlinear Transformations of Stochastic Processes, eds. Kuznetsov, P. I., Stratonovich, R. L. & Tikhonov, V. I. (Pergamon Press, Oxford, London), pp. 269-282.
    • (1965) Nonlinear Transformations of Stochastic Processes , pp. 269-282
    • Kuznetsov, P.I.1    Stratonovich, R.L.2    Tikhonov, V.I.3
  • 59
    • 0041128687 scopus 로고
    • On the theory of synchronization of relaxation self-oscillations
    • in Russian
    • Teodorchik, K. F. [1943] "On the theory of synchronization of relaxation self-oscillations," Doklady Akademii Nauk SSSR (Sov. Phys. Dokl) 40(2), p. 63 (in Russian).
    • (1943) Doklady Akademii Nauk SSSR (Sov. Phys. Dokl) , vol.40 , Issue.2 , pp. 63
    • Teodorchik, K.F.1
  • 61
    • 0001874281 scopus 로고
    • Forced oscillators in a circuit with non-linear resistance. (Reception with reactive triode)
    • van der Pol, B. [1927] "Forced oscillators in a circuit with non-linear resistance. (Reception with reactive triode)," Phil. Mag. 3, 64-80.
    • (1927) Phil. Mag. , vol.3 , pp. 64-80
    • Van Der Pol, B.1
  • 62
    • 0034310156 scopus 로고    scopus 로고
    • On phase synchronization by periodic force in chaotic oscillators with saddle equilibria
    • to appear
    • Zaks, M. A., Park, E.-H. & Kurths, J. [2000] "On phase synchronization by periodic force in chaotic oscillators with saddle equilibria," Int. J. Bifurcation and Chaos 10(11), to appear.
    • (2000) Int. J. Bifurcation and Chaos , vol.10 , Issue.11
    • Zaks, M.A.1    Park, E.-H.2    Kurths, J.3
  • 63
    • 0000210611 scopus 로고    scopus 로고
    • Alternating locking ratios in imperfect phase synchronization
    • Zaks, M. A., Park, E.-H., Rosenblum, M. G. & Kurths, J. [1999] "Alternating locking ratios in imperfect phase synchronization," Phys. Rev. Lett. 82, 4228-4231.
    • (1999) Phys. Rev. Lett. , vol.82 , pp. 4228-4231
    • Zaks, M.A.1    Park, E.-H.2    Rosenblum, M.G.3    Kurths, J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.