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Studying the behavior of a nonautonomous Van der Pol oscillator in different time scales with the presence of noise near the synchronization boundary

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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

A new level of organization of the temporal behavior of two coupled complex systems is revealed. We report for the first time the coexistence of two types of intermittent behavior that occurs simultaneously near the boundary of the synchronization regime of coupled chaotic oscillators. This intricate phenomenon was observed both experimentally in a physiological experiment and numerically. The laws for both the distribution and the mean length of the laminar phases versus the control parameter values are analytically deduced. Very good agreement between the theoretical results and the numerically calculated data is shown.

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Authors and Affiliations

  1. Faculty of Nonlinear Processes, Saratov State University, Saratov, 410012, Russia

    M. O. Zhuravlev, A. A. Koronovskii, O. I. Moskalenko & A. E. Hramov

Authors
  1. M. O. Zhuravlev
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  2. A. A. Koronovskii
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  3. O. I. Moskalenko
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  4. A. E. Hramov
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Corresponding author

Correspondence to M. O. Zhuravlev.

Additional information

Original Russian Text © M.O. Zhuravlev, A.A. Koronovskii, O.I. Moskalenko, A.E. Hramov, 2012, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2012, Vol. 76, No. 12, pp. 1503–1506.

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Zhuravlev, M.O., Koronovskii, A.A., Moskalenko, O.I. et al. Studying the behavior of a nonautonomous Van der Pol oscillator in different time scales with the presence of noise near the synchronization boundary. Bull. Russ. Acad. Sci. Phys. 76, 1346–1348 (2012). https://doi.org/10.3103/S1062873812120325

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  • DOI: https://doi.org/10.3103/S1062873812120325

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