Dynamics of coupled generators of quasiperiodic oscillations: Different types of synchronization and other phenomena

被引:0
作者
Kuznetsov, A. P. [1 ]
Kuznetsov, S. P. [1 ]
Shchegoleva, N. A. [2 ]
Stankevich, N. V. [1 ,3 ,4 ]
机构
[1] RAS, Saratov Branch, Kotelnikovs Inst Radioengn & Elect, Zelenaya 38, Saratov 410019, Russia
[2] Chernysheysky Saratov State Univ, Astrakhanskaya 83, Saratov 410012, Russia
[3] Yuri Gagarin State Tech Univ Saratov, Politehn Skaya 77, Saratov 410054, Russia
[4] St Petersburg State Univ, Univ Skiy Proezd 28, St Petersburg 198504, Russia
基金
俄罗斯科学基金会;
关键词
Quasiperiodic oscillations; Coupled generators; Synchronization; RANDOM NUMBER GENERATORS; CHAOS; BIFURCATION; CIRCUIT; TORUS; LASER; VAN; POL;
D O I
10.1016/j.physd.2019.05.014
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A problem of synchronization of quasiperiodic oscillations is discussed in application to an example of coupled systems with autonomous quasiperiodic dynamics. Charts of Lyapunov exponents are presented that reveal characteristic domains on the parameter plane such as oscillator death, complete synchronization, phase synchronization of quasiperiodic oscillations, broadband synchronization, broadband quasiperiodicity. Features of each kind of dynamical behavior are discussed. Analysis of corresponding bifurcations is presented, including quasiperiodic Hopf bifurcations, saddle-node bifurcations of invariant tori of different dimensions, and bifurcations of torus doublings. Both the case of dominance of quasiperiodic oscillations in one of the generators and the case of pronounced periodic resonances embedded in the region of quasiperiodicity are considered. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码:1 / 12
页数:12
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