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Volumn 11, Issue 6, 2001, Pages 1631-1643

Chaotic bursts and bifurcation in chaotic neural networks with ring structure

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EID: 0035598594     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127401002894     Document Type: Article
Times cited : (26)

References (32)
  • 1
    • 0000495684 scopus 로고
    • Chaotic oscillations and bifurcations in squid giant axons
    • ed. Holden, A. V. (Manchester University Press, Manchester and Princeton University Press, Princeton)
    • Aihara, K. & Matsumoto, G. [1986] "Chaotic oscillations and bifurcations in squid giant axons," in Chaos, ed. Holden, A. V. (Manchester University Press, Manchester and Princeton University Press, Princeton), pp. 257-269.
    • (1986) Chaos , pp. 257-269
    • Aihara, K.1    Matsumoto, G.2
  • 4
    • 0023892788 scopus 로고    scopus 로고
    • Control of feeding movements in the freshwater snail planorbis corneus
    • Arshavsky, Y. I., Deliagina, T. G., Orlovsky, G. N. & Panchin, Y. V. [1998] "Control of feeding movements in the freshwater snail Planorbis corneus," Exp. Brain Res. 70, 323-331.
    • (1998) Exp. Brain Res. , vol.70 , pp. 323-331
    • Arshavsky, Y.I.1    Deliagina, T.G.2    Orlovsky, G.N.3    Panchin, Y.V.4
  • 5
    • 0028324928 scopus 로고
    • Power spectrum analysis of bursting cells in area MT in the behaving monkey
    • Bair, W., Koch, C., Newsome, W. & Britten, K. [1994] "Power spectrum analysis of bursting cells in area MT in the behaving monkey," J. Neurosci. 14(5), 2870-2892.
    • (1994) J. Neurosci. , vol.14 , Issue.5 , pp. 2870-2892
    • Bair, W.1    Koch, C.2    Newsome, W.3    Britten, K.4
  • 6
    • 0002389876 scopus 로고
    • Ion channels: Keys to neuronal specialization
    • ed. Arbib, M. A. (The MIT Press, Cambridge)
    • Bargas, J. & Galarraga, E. [1995] "Ion channels: Keys to neuronal specialization," in The Handbook of Brain Theory and Neural Networks, ed. Arbib, M. A. (The MIT Press, Cambridge), pp. 496-501.
    • (1995) The Handbook of Brain Theory and Neural Networks , pp. 496-501
    • Bargas, J.1    Galarraga, E.2
  • 7
    • 0033177129 scopus 로고    scopus 로고
    • Qualitative analysis of a neural network model with multiple time delays
    • Campbell, S. A., Ruan, S. & Wei, J. [1999] "Qualitative analysis of a neural network model with multiple time delays," Int. J. Bifurcation and Chaos 9(8), 1585-1595.
    • (1999) Int. J. Bifurcation and Chaos , vol.9 , Issue.8 , pp. 1585-1595
    • Campbell, S.A.1    Ruan, S.2    Wei, J.3
  • 8
    • 0039679716 scopus 로고
    • Dynamic models of neural systems: Propagated signals, photoreceptor transduction, and circadian rhythms
    • ed. Hodgson, J. P. E. (Springer-Verlag, Berlin)
    • Carpenter, G. A. & Grossberg, S. [1983] "Dynamic models of neural systems: Propagated signals, photoreceptor transduction, and circadian rhythms," in Oscillations in Mathematical Biology, ed. Hodgson, J. P. E. (Springer-Verlag, Berlin), pp. 102-196.
    • (1983) Oscillations in Mathematical Biology , pp. 102-196
    • Carpenter, G.A.1    Grossberg, S.2
  • 9
    • 2342563493 scopus 로고
    • Bursting, spiking, chaos, fractals, and universality in biological rhythms
    • Chay, T. R., Fan, Y. S. & Lee, Y. S. [1995] "Bursting, spiking, chaos, fractals, and universality in biological rhythms," Int. J. Bifurcation and Chaos 5(3), 595-635.
    • (1995) Int. J. Bifurcation and Chaos , vol.5 , Issue.3 , pp. 595-635
    • Chay, T.R.1    Fan, Y.S.2    Lee, Y.S.3
  • 10
    • 0011359034 scopus 로고
    • The function of the thalamic reticular complex: The searchlight hypothesis
    • Crick, F. C. [1984] "The function of the thalamic reticular complex: The searchlight hypothesis," Proc. Natl. Acad. Sci. USA 81, 4586-4590.
    • (1984) Proc. Natl. Acad. Sci. USA , vol.81 , pp. 4586-4590
    • Crick, F.C.1
  • 11
    • 35949019576 scopus 로고
    • Analysis of flow hysteresis by a one-dimensional map
    • Fraser, S. & Kapral, R. [1982] "Analysis of flow hysteresis by a one-dimensional map," Phys. Rev. A25, 3223-3233.
    • (1982) Phys. Rev. , vol.A25 , pp. 3223-3233
    • Fraser, S.1    Kapral, R.2
  • 13
    • 0026665748 scopus 로고
    • Chaotic nature of bursting discharges in the onchidium pacemaker neuron
    • Hayashi, H. & Ishizuka, S. [1992] "Chaotic nature of bursting discharges in the Onchidium pacemaker neuron," J. Theor. Biol. 156, 269-291.
    • (1992) J. Theor. Biol. , vol.156 , pp. 269-291
    • Hayashi, H.1    Ishizuka, S.2
  • 14
    • 0000303940 scopus 로고    scopus 로고
    • Neural excitability, spiking and bursting
    • Izhikevich, E. M. [2000] "Neural excitability, spiking and bursting," Int. J. Bifurcation and Chaos 10(6), 1171-1266.
    • (2000) Int. J. Bifurcation and Chaos , vol.10 , Issue.6 , pp. 1171-1266
    • Izhikevich, E.M.1
  • 16
    • 0020715528 scopus 로고
    • Bifurcation of periodic responses in forced dynamic nonlinear circuits: Computation of bifurcation values of the system parameters
    • Kawakami, H. [1984] "Bifurcation of periodic responses in forced dynamic nonlinear circuits: Computation of bifurcation values of the system parameters," IEEE Trans. Circuits Syst. CAS-31(3), 246-260.
    • (1984) IEEE Trans. Circuits Syst. , vol.CAS-31 , Issue.3 , pp. 246-260
    • Kawakami, H.1
  • 18
    • 0027960120 scopus 로고
    • Encoding of olfactory information with oscillating neural assemblies
    • Laurent, G. & Davidowitz, H. [1994] "Encoding of olfactory information with oscillating neural assemblies," Science 265, 1872-1875.
    • (1994) Science , vol.265 , pp. 1872-1875
    • Laurent, G.1    Davidowitz, H.2
  • 19
    • 0030575890 scopus 로고    scopus 로고
    • Distinct mechanisms for synchronization and temporal patterning of odor-encoding neural assemblies
    • MacLeod, K. & Laurent, G. [1996] "Distinct mechanisms for synchronization and temporal patterning of odor-encoding neural assemblies," Science 274, 976-979.
    • (1996) Science , vol.274 , pp. 976-979
    • Macleod, K.1    Laurent, G.2
  • 20
    • 0030627422 scopus 로고    scopus 로고
    • Homoclinic and heteroclinic situations specific to two-dimensional noninvertible maps
    • Millerioux, G. & Mira, C. [1997] "Homoclinic and heteroclinic situations specific to two-dimensional noninvertible maps," Int. J. Bifurcation and Chaos 7(1), 39-70.
    • (1997) Int. J. Bifurcation and Chaos , vol.7 , Issue.1 , pp. 39-70
    • Millerioux, G.1    Mira, C.2
  • 21
    • 0003805342 scopus 로고
    • World Scientific, Singapore
    • Mira, C. [1987] Chaotic Dynamics (World Scientific, Singapore).
    • (1987) Chaotic Dynamics
    • Mira, C.1
  • 22
    • 21344481049 scopus 로고
    • On behaviors of two-dimensional endomorphisms: Role of the critical curves
    • Mira, C. & Narayaninsamy, T. [1993] "On behaviors of two-dimensional endomorphisms: Role of the critical curves," Int. J. Bifurcation and Chaos 3(1), 187-194.
    • (1993) Int. J. Bifurcation and Chaos , vol.3 , Issue.1 , pp. 187-194
    • Mira, C.1    Narayaninsamy, T.2
  • 23
    • 0033549810 scopus 로고    scopus 로고
    • A basal ganglia pacemaker formed by the subthalamic nucleus and external globus pallidus
    • Plenz, D. & Kitai, S. T. [1999] "A basal ganglia pacemaker formed by the subthalamic nucleus and external globus pallidus," Nature 400, 677-682.
    • (1999) Nature , vol.400 , pp. 677-682
    • Plenz, D.1    Kitai, S.T.2
  • 24
    • 0002453062 scopus 로고    scopus 로고
    • Analysis of neural excitability and oscillations
    • ed. Koch, C. & Segev, I. (The MIT Press, Cambridge)
    • Rinzel, J. & Ermentrout, B. [1998] "Analysis of neural excitability and oscillations," in Methods in Neuronal Modeling, ed. Koch, C. & Segev, I. (The MIT Press, Cambridge), pp. 251-291.
    • (1998) Methods in Neuronal Modeling , pp. 251-291
    • Rinzel, J.1    Ermentrout, B.2
  • 25
    • 0027436714 scopus 로고
    • Periodic synchronized bursting and intracellular calcium transients elicited by low magnesium in cultured cortical neurons
    • Robinson, H. P. C., Kawahara, M., Jimbo, Y., Torimitsu, K., Kuroda, Y. & Kawana, A. [1993] "Periodic synchronized bursting and intracellular calcium transients elicited by low magnesium in cultured cortical neurons," J. Neurosci. 70(4), 1606-1616.
    • (1993) J. Neurosci. , vol.70 , Issue.4 , pp. 1606-1616
    • Robinson, H.P.C.1    Kawahara, M.2    Jimbo, Y.3    Torimitsu, K.4    Kuroda, Y.5    Kawana, A.6
  • 27
    • 0002946245 scopus 로고
    • Cortical coherence and characteristic times in brain stem neuronal discharge patterns
    • ed. McKenna, T., Davis, J. & Zornetzer, S. F. (Academic Press, Boston)
    • Selz, K. A. & Mandell, A. J. [1992] "Cortical coherence and characteristic times in brain stem neuronal discharge patterns," in Single Neuron Computation, ed. McKenna, T., Davis, J. & Zornetzer, S. F. (Academic Press, Boston), pp. 525-560.
    • (1992) Single Neuron Computation , pp. 525-560
    • Selz, K.A.1    Mandell, A.J.2
  • 29
    • 0001736010 scopus 로고
    • Oscillatory and bursting properties of neurons
    • ed. Arbib, M. A. (The MIT Press, Cambridge)
    • Wang, X.-J. & Rinzel, J. [1995] "Oscillatory and bursting properties of neurons," in The Handbook of Brain Theory and Neural Networks, ed. Arbib, M. A. (The MIT Press, Cambridge), pp. 686-691.
    • (1995) The Handbook of Brain Theory and Neural Networks , pp. 686-691
    • Wang, X.-J.1    Rinzel, J.2
  • 30
    • 0039087489 scopus 로고
    • Spinal cord of lamprey: Generation of locomotor patterns
    • ed. Arbib, M. A. (The MIT Press, Cambridge)
    • Williams, T. L. & Sigvardt, K. A. [1995] "Spinal cord of lamprey: Generation of locomotor patterns," in The Handbook of Brain Theory and Neural Networks, ed. Arbib, M. A. (The MIT Press, Cambridge), pp. 918-921.
    • (1995) The Handbook of Brain Theory and Neural Networks , pp. 918-921
    • Williams, T.L.1    Sigvardt, K.A.2
  • 31
    • 0031220523 scopus 로고    scopus 로고
    • Amethod to calculate homoclinic points of a two-dimensional noninvertible map
    • Yoshinaga, T., Kitajima, H., Kawakami, H. & Mira, C. [1997] "Amethod to calculate homoclinic points of a two-dimensional noninvertible map," IEICE Trans. Fundamentals E80-A(9), 1560-1566.
    • (1997) IEICE Trans. Fundamentals , vol.E80-A , Issue.9 , pp. 1560-1566
    • Yoshinaga, T.1    Kitajima, H.2    Kawakami, H.3    Mira, C.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.