Intermittent route to generalized synchronization in bidirectionally coupled chaotic oscillators

被引:7
作者
Koronovskii, Alexey A. [1 ,2 ]
Moskalenko, Olga, I [1 ,2 ]
Pivovarov, Anatoliy A. [1 ,2 ]
Evstifeev, Evgeniy, V [1 ,2 ]
机构
[1] Saratov NG Chernyshevskii State Univ, Fac Nonlinear Proc, 83 Astrakhanskaya St, Saratov 410012, Russia
[2] Reg Sci & Educ Math Ctr Math Future Technol, Saratov, Russia
基金
俄罗斯科学基金会;
关键词
PHASE SYNCHRONIZATION; TRANSITION; EQUATIONS; ATTRACTOR;
D O I
10.1063/5.0007156
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The type of transition from asynchronous behavior to the generalized synchronization regime in mutually coupled chaotic oscillators has been studied. To separate the epochs of the synchronous and asynchronous motion in time series of mutually coupled chaotic oscillators, a method based on the local Lyapunov exponent calculation has been proposed. The efficiency of the method has been testified using the examples of unidirectionally coupled dynamical systems for which the type of transition is well known. The transition to generalized synchronization regime in mutually coupled systems has been shown to be an on-off intermittency as well as in the case of the unidirectional coupling.
引用
收藏
页数:8
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