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Clustering and phase resetting in a chain of bistable nonisochronous oscillators


Makarov, Valeri A. and Nekorkin, Vladimir I. and Velarde, Manuel G. (1998) Clustering and phase resetting in a chain of bistable nonisochronous oscillators. Physical Review E, 58 (5). pp. 5742-5747. ISSN 1539-3755

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We consider a chain with many locally coupled bistable nonisochronous oscillators. We show that on the "background" of a disordered amplitude distribution either phase or frequency clusters form in the chain. Cluster location varies according to the amplitude distribution. In the case of frequency clusters their interaction leads to phase resetting in an isolated oscillator located between two neighboring frequency clusters.

Item Type:Article
Uncontrolled Keywords:Globally coupled oscillators; Synchronization; Lattices; Populations; Behavior; Networks; Chaos
Subjects:Sciences > Physics > Mathematical physics
ID Code:17047

P. Koening et al., Eur. J. Neurosci. 5, 501 (1993) ; see also J. Krueger and F. Aiple, J. Neurophysiol. 60, 798 (1988) .

R. Llinas and U. Ribary, Proc. Natl. Acad. Sci. USA 90, 2078 (1993).

H. Haken, Principles of Brain Functioning (Springer-Verlag, Berlin, 1996).

H. D. I. Abarbanel, M. I. Rabinovich, A. Selverston, M. V. Bazhenov, R. Huerta, M. M. Sushchik, and L. L. Rubchinskii, Usp. Fiz. Nauk 166, 1 (1996) [Phys. Usp. 39, 337 (1996)].

K. Kaneko, Physica D 75, 74 (1994).

V. Hakim and W.-J. Rappel, Phys. Rev. A 46, R7347 (1992).

N. Nakagawa and Y. Kuramoto, Physica D 75, 74 (1994); ibid.see also 80, 307 (1995).

P. Tass and H. Haken, Z. Phys. B 100, 303 (1996) ; see also P. Tass, Phys. Rev. E 56, 2043 (1997) .

K. Okuda, Physica D 63, 424 (1993).

U. Ernst, K. Pawelzik, and T. Geisel, Phys. Rev. Lett. 74, 1570 (1995) .

Y. Nakamura, F. Tominaga, and T. Munakata, Phys. Rev. E 49, 4849 (1994) .

J. Lin, K. Pawelzik, U. Ernst, and T. Sejnowski (unpublished).

S. H. Strogatz and R. E. Mirollo, J. Phys. A 21, L699 (1988).

H. Sakaguchi, S. Shinomoto, and Y. Kuramoto, Prog. Theor. Phys. 79, 1069 (1988).

Coupled Oscillating Neurons, edited by J. G. Taylor and C. L. T. Mannion (Springer-Verlag, Berlin, 1992).

A. A. Andronov, A. A. Vitt, and S. E. Khaikin, Theory of Oscillations (Pergamon, New York, 1966).

V. I. Nekorkin and V. A. Makarov, Phys. Rev. Lett. 74, 4819 (1995) .

V. I. Nekorkin, V. A. Makarov, V. B. Kazantsev, and M. G. Velarde, Physica D 100, 330 (1997).

A. T. Winfree, J. Theor. Biol. 16, 15 (1967) ; see also G. B. Ermentrout and J. Rinzel, J. Math. Biol. 11, 269 (1981); see also Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Springer-Verlag, Berlin, 1984).

G. B. Ermentrout, J. Math. Biol. 23, 55 (1985) .

H. Daido, Phys. Rev. Lett. 61, 231 (1988) .

E. Niebur, H. G. Schuster, D. M. Kammen, and C. Koch, Phys. Rev. A 44, 6895 (1991) .

G. B. Ermentrout, Physica D 41, 219 (1990); see also H. Daido, Phys. Rev. Lett. 73, 760 (1994) .

A.-D. Defontaines, Y. Pomeau, and B. Rostand, Physica D 46, 201 (1990).

J.-A. Sepulchre and R. S. MacKay, Nonlinearity 10, 679 (1997).

A. T. Winfree, The Geometry of Biological Time (Springer-Verlag, New York, 1980).

R. Llinas and Y. Yarom, J. Physiol. (London)376, 163 (1986) .

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