Penrose method for Kuramoto model with inertia and noise

被引：0

作者：

Alexandrov, Artem ^{[1
,2
]}

Gorsky, Alexander ^{[2
,3
]}

机构：

[1] Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Russia

[2] Inst Informat Transmiss Problems, Moscow 127994, Russia

[3] Ctr Neurophys & Neuromorph Technol, Lab Complex Networks, Moscow, Russia

来源：

CHAOS SOLITONS & FRACTALS | 2024年 / 183卷

关键词：

Synchronization; Kuramoto model; Noise; Bifurcations; Phase transitions; Graphons; MEAN-FIELD ANALYSIS; COUPLED OSCILLATORS; STABILITY; BIFURCATION; SYSTEMS;

D O I：

10.1016/j.chaos.2024.114938

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the Penrose method of instability analysis, we consider the synchronization transition in the Kuramoto model with inertia and noise with all -to -all couplings. Analyzing the Penrose curves, we identify the appearance of cluster and chimera states in the presence of noise. We observe that noise can destroy chimera and biclusters states. The critical coupling describing bifurcation from incoherent to coherent state is found analytically. To confirm our propositions based on the Penrose method, we perform numerical simulations.

引用

页数：9

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