Abstract
A study is performed of intermittent behavior near the boundary of phase synchronization in systems with complex topology of the attractor. Statistical characteristics of laminar phase durations are calculated to establish that eyelet intermittency occurs at the phase synchronization boundary when there is relatively weak disorder between systems.
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REFERENCES
Boccaletti, S., Kurths, J., Osipov, G., et al., Phys. Rep., 2022, vol. 366, p. 1.
Pikovsky, A., Rosenblum, M., and Kurths, J., Synchronization: A Universal Concept in Nonlinear Sciences, New York: Cambridge Univ. Press, 2001.
Anishchenko, V.S., Astakhov, V.V., Neiman, A.B., et al., Nonlinear Dynamics of Chaotic and Stochastic Systems, Heidelberg: Springer, 2007.
Anishchenko, V.S. and Postnov, D.E., Pis’ma Zh. Tekh. Fiz., 1988, vol. 14, no. 6, p. 569.
Rosenblum, M.G., Pikovsky, A.S., and Kurths, J., Phys. Rev. Lett., 1996, vol. 76, no. 11, p. 1804.
Pikovsky, A.S., Osipov, G.V., Rosenblum, M.G., et al., Phys. Rev. Lett., 1997, vol. 79, no. 1, p. 47.
Hramov, A.E. Koronovskii, A.A., et al., Phys. Rev. Lett., 2006, vol. 97, p. 114101.
Kuznetsov, S.P., Dinamicheskii khaos (Dynamic Chaos), Moscow: Fizmatlit, 2001.
Khanadeev, V.A., Moskalenko, O.I., and Koronovskii, A.A., Bull. Russ. Acad. Sci.: Phys., 2021, vol. 85, no. 2, p. 192.
Moskalenko, O.I., Tech. Phys. Lett., 2007, vol. 33, no. 10, p. 841.
Kurovskaya, M.K., Tech. Phys. Lett., 2008, vol. 34, no. 12, p. 1063.
Koronovskii, A.A., Moskalenko, O.I., Pivovarov, A.A., et al., Phys. Rev. E, 2020, vol. 102, p. 012205.
Pikovsky, A.S., Rosenblum, M.G., Osipov, G.V., et al., Phys. D (Amsterdam, Neth.), 1997, vol. 104, no. 4, p. 219.
Zhuravlev, M.O., Kurovskaya, M.K., and Moska-lenko, O.I., Tech. Phys. Lett., 2008, vol. 34, no. 12, p. 1063.
Funding
This work was supported by the RF Presidential Council of Grants for State Support of Young Russian Scientists, project no. MD-18.2022.1.2; and by the RF Ministry of Science and Higher Education as part of the program for the development of the regional Mathematics of Future Technologies Center, agreement no. 075-02-2023-949.
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Translated by I. Moshkin
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Tarasova, A.A., Moskalenko, O.I. Intermittency Near the Boundary of Phase Synchronization in Systems with a Complex Topology of the Attractor. Bull. Russ. Acad. Sci. Phys. 87, 1506–1508 (2023). https://doi.org/10.3103/S1062873823703586
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DOI: https://doi.org/10.3103/S1062873823703586