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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)
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,
Full Text(in Japanese): PDF(2.1MB)>>
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.