Stabilization of synchronous equilibria in regular dynamical networks with delayed coupling

被引：3

作者：

Maia, Daniel ^{[1
]}

Kurths, Juergen ^{[2
,3
]}

Yanchuk, Serhiy ^{[3
,4
]}

机构：

[1] Univ Fed Rural Pernambuco, Acad Unity Belo Jardim, BR-166 Belo Jardim, PE, Brazil

[2] Humboldt Univ, Dept Phys, D-12489 Berlin, Germany

[3] Potsdam Inst Climate Impact Res, D-14473 Potsdam, Germany

[4] Humboldt Univ, Inst Math, D-12489 Berlin, Germany

来源：

NONLINEAR DYNAMICS | 2023年 / 111卷 / 08期

关键词：

Oscillation death; Delayed systems; Stability; Synchronous equilibria; DIFFERENTIAL EQUATIONS; SYNCHRONIZATION; STABILITY; STATES; SPECTRUM; CHAOS;

D O I：

10.1007/s11071-022-08220-w

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

We consider the synchronization problem of dynamical networks with delayed interactions. More specifically, we focus on the stabilization of synchronous equilibria in regular networks where the degrees of all nodes are equal. By studying such control near a Hopf bifurcation, we obtain necessary and sufficient conditions for stabilization. It is shown that the stabilization domains in the parameter space reappear periodically with time-delay. We find that the frequency of reappearance of the control domains is linearly proportional to the number of cycle multipartitions of the network.

引用

页码：7377 / 7390

页数：14

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