Instability of Delay-Coupled Complex Ginzburg-Landau Models

Hakui TEKI  Keiji KONISHI  Naoyuki HARA  

A - Abstracts of IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences (Japanese Edition)   Vol.J103-A   No.8   pp.165-175
Publication Date: 2020/08/01
Online ISSN: 1881-0195
Type of Manuscript: PAPER
delayed coupling,  reaction diffusion systems,  complex ginzburg-landau models,  amplitude death,  wave instability,  

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The present paper deals with stability and instability of a spatially uniform steady state in complex Ginzburg-Landau models coupled by a delay connection. The relations between Hopf instability, wave instability, robust stability, and stability of delay coupled Stuart-Landau oscillators are analytically revealed. The analytical relation is numerically confirmed.