Investigation of the possibility of the existence of multistability in the regime of intermittent phase synchronization in ensemble of unidirectionally coupled Rössler systems
- Authors: Khanadeev V.A.1, Plotnikova A.D.1, Moskalenko O.I.1
- 
							Affiliations: 
							- Saratov State University
 
- Issue: Vol 87, No 1 (2023)
- Pages: 120-124
- Section: Articles
- URL: https://ruspoj.com/0367-6765/article/view/654514
- DOI: https://doi.org/10.31857/S0367676522700223
- EDN: https://elibrary.ru/JULHVU
- ID: 654514
Cite item
Abstract
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.
About the authors
V. A. Khanadeev
Saratov State University
							Author for correspondence.
							Email: v.a.hanadeev@gmail.com
				                					                																			                												                								Russia, 410012, Saratov						
A. D. Plotnikova
Saratov State University
														Email: v.a.hanadeev@gmail.com
				                					                																			                												                								Russia, 410012, Saratov						
O. I. Moskalenko
Saratov State University
														Email: v.a.hanadeev@gmail.com
				                					                																			                												                								Russia, 410012, Saratov						
References
- 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.
 
				
			 
					 
						 
						 
						 
						 
									

 
  
  
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