Coupled Mobius maps as a tool to model Kuramoto phase synchronization

被引：8
|
作者：
Gong, Chen Chris [1 ]
Toenjes, Ralf [1 ]
Pikovsky, Arkady [1 ,2 ]
机构：
[1] Univ Potsdam, Inst Phys & Astron, Karl Liebknecht Str 32, D-14476 Potsdam, Germany
[2] Nizhnii Novgorod State Univ, Dept Control Theory, Gagarin Ave 23, Nizhnii Novgorod 606950, Russia
来源：
PHYSICAL REVIEW E | 2020年 / 102卷 / 02期
基金：
巴西圣保罗研究基金会; 俄罗斯科学基金会;
关键词：
TRANSITIONS; ENSEMBLES; BEHAVIOR;
D O I：
10.1103/PhysRevE.102.022206
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
We propose Mobius maps as a tool to model synchronization phenomena in coupled phase oscillators. Not only does the map provide fast computation of phase synchronization, it also reflects the underlying group structure of the sinusoidally coupled continuous phase dynamics. We study map versions of various known continuous-time collective dynamics, such as the synchronization transition in the Kuramoto-Sakaguchi model of nonidentical oscillators, chimeras in two coupled populations of identical phase oscillators, and Kuramoto-Battogtokh chimeras on a ring, and demonstrate similarities and differences between the iterated map models and their known continuous-time counterparts.
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页数：12
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