Synchronization in a Ring of Oscillators with Delayed Feedback

被引：0

作者：

Kashchenko, A. A. ^{[1
]}

机构：

[1] P G Demidov Yaroslavl State Univ, Reg Sci Educ Math Ctr, Yaroslavl 150003, Russia

来源：

MATHEMATICAL NOTES | 2024年 / 115卷 / 5-6期

关键词：

delay; relaxation oscillations; coupled oscillators; synchronization; nonlinear systems; multidimensional systems; EQUATIONS; DYNAMICS;

D O I：

10.1134/S0001434624050298

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A ring of coupled oscillators with delayed feedback with various types of coupling between the oscillators is considered. For each type of coupling, the asymptotic behavior of the model solutions with respect to a large parameter is constructed for a wide variety of initial conditions. It is shown that the studying the behavior of solutions to the original infinite-dimensional models can be reduced to studying the dynamics of the constructed finite-dimensional mappings. High quality conclusions about the dynamics of the original systems are made. It is shown that the behavior of solutions significantly varies with variations in the type of coupling. Conditions on the system parameters are found under which the synchronization, two-cluster synchronization, and more complex modes are possible.

引用

页码：944 / 958

页数：15