Adaptive elimination of synchronization in coupled oscillator

被引：26

作者：

Zhou, Shijie ^{[1
,2
,3
]}

Ji, Peng ^{[3
,4
]}

Zhou, Qing ^{[5
]}

Feng, Jianfeng ^{[3
]}

Kurths, Juergen ^{[4
,6
]}

Lin, Wei ^{[1
,2
,3
]}

机构：

[1] Fudan Univ, Ctr Computat Syst Biol, Sch Math Sci, Shanghai 200433, Peoples R China

[2] Fudan Univ, Shanghai Ctr Math Sci, Shanghai 200433, Peoples R China

[3] Fudan Univ, Inst Sci & Technol Brain lnspired Intelligence, Shanghai 200433, Peoples R China

[4] Potsdam Inst Climate Impact Res, D-14412 Potsdam, Germany

[5] East China Normal Univ, Sch Math Sci, Shanghai 200062, Peoples R China

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

来源：

NEW JOURNAL OF PHYSICS | 2017年 / 19卷

关键词：

synchronization elimination; adaptive control; time delays; coupled oscillators; DEEP BRAIN-STIMULATION;

D O I：

10.1088/1367-2630/aa7bde

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present here an adaptive control scheme with a feedback delay to achieve elimination of synchronization in a large population of coupled and synchronized oscillators. We validate the feasibility of this scheme not only in the coupled Kuramoto's oscillators with a unimodal or bimodal distribution of natural frequency, but also in two representative models of neuronal networks, namely, the FitzHugh-Nagumo spiking oscillators and the Hindmarsh-Rose bursting oscillators. More significantly, we analytically illustrate the feasibility of the proposed scheme with a feedback delay and reveal how the exact topological form of the bimodal natural frequency distribution influences the scheme performance. We anticipate that our developed scheme will deepen the understanding and refinement of those controllers, e.g. techniques of deep brain stimulation, which have been implemented in remedying some synchronization-induced mental disorders including Parkinson disease and epilepsy.

引用

页数：15