Investigation of the possibility of the existence of multistability in the regime of intermittent phase synchronization in ensemble of unidirectionally coupled Rössler systems

V. A. Khanadeev; Ханадеев В. А.; A. D. Plotnikova; Плотникова А. Д.; O. I. Moskalenko; Москаленко О. И.

doi:10.31857/S0367676522700223

Investigation of the possibility of the existence of multistability in the regime of intermittent phase synchronization in ensemble of unidirectionally coupled Rössler systems

作者: Khanadeev V.A.¹, Plotnikova A.D.¹, Moskalenko O.I.¹
隶属关系:
1. Saratov State University
期: 卷 87, 编号 1 (2023)
页面: 120-124
栏目: Articles
URL: https://journal-vniispk.ru/0367-6765/article/view/135259
DOI: https://doi.org/10.31857/S0367676522700223
EDN: https://elibrary.ru/JULHVU
ID: 135259

如何引用文章

全文:

详细
作者简介
参考
补充文件
统计

详细

The question of the possibility of the existence of multistability near the boundary of phase synchronization in unidirectionally coupled chaotic systems is studied. The cases of relatively large and relatively small detuning between them are considered. The multistability is shown to be observed in both cases. A quantitative characteristic of the degree of multistability is introduced and it is shown that its time dependence in the regime of intermittent phase synchronization can be used to determine the lengths of the characteristic phases of the system behavior.

参考

Берже П., Помо И., Видаль К. Порядок в хаосе. М.: Мир, 1991.
Pikovsky A.S., Osipov G.V., Rosenblum M.G. et al. // Phys. Rev. Lett. 1997. V. 79. No. 1. P. 47.
Boccaletti S., Valladares D.L. // Phys. Rev. E. 2000. V. 62. No. 5. P. 7497.
Hramov A.E., Koronovskii A.A. // Europhys. Lett. 2005. V. 70. No. 2. P. 169.
Hramov A.E., Koronovskii A.A., Kurovskaya M.K. et al. // Phys. Rev. Lett. 2006. V. 97. Art. No. 114101.
Zhuravlev M.O., Koronovskii A.A., Moskalenko O.I. et al. // Phys. Rev. E. 2011. V. 83. Art. No. 027201.
Abarbanel H.D.I., Rulkov N.F., Sushchik M.M. // Phys. Rev. E. 1996. V. 53. No. 5. P. 4528.
Moskalenko O.I., Koronovskii A.A., Selskii A.A. et al. // Chaos. 2021. V. 31. No. 8. Art. No. 083106.
Hramov A.E., Koronovskii A.A. // Chaos. 2004. V. 14. No. 3. P. 603.
Sevilla-Escoboza R., Buldú J.M., Pisarchik A.N. et al. // Phys. Rev. E. 2015. V. 91. No. 3. Art. No. 032902.
Москаленко О.И., Короновский А.А., Сельский А.О. и др. // Письма в ЖТФ. 2022. Т. 48. № 2. С. 3.
Rosenblum M.G., Pikovsky A.S., Kurths J. // Phys. Rev. Lett. 1997. V. 78. No. 22. P. 4193.
Журавлев М.О., Куровская М.К., Москаленко О.И. // Письма в ЖТФ. 2010. Т. 36. № 10. С. 31.