Inwardly rotating spiral wave breakup in oscillatory reaction-diffusion media

Autor:	Fagen Xie, James N. Weiss, Dongzhu Xie
Rok vydání:	2006
Předmět:	Hopf bifurcation Core (optical fiber) Physics symbols.namesake Classical mechanics Spiral wave symbols Pattern formation Diffusion (business) Breakup Nonlinear Sciences::Pattern Formation and Solitons Instability Spiral
Zdroj:	Physical Review E. 74
ISSN:	1550-2376 1539-3755
DOI:	10.1103/physreve.74.026107
Popis:	The breakup of inwardly rotating spiral waves has been investigated in an oscillatory reaction-diffusion system near a Hopf bifurcation point. The breakup first occurred at the region far away from the core area, then gradually involved the whole medium by increasing the diffusion coefficient ratio between the two components of the oscillator system. With the approximation of the Complex-Ginzburg-Landau equation (CGLE), the criteria for the occurrence of the inwardly rotating spiral wave are examined theoretically. The analysis of the stability in the corresponding CGLE revealed that the breakup of the inward spiral wave was related to the Eckhaus instability.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d2719d45d2fecced0273b3f2d33abb5b https://doi.org/10.1103/physreve.74.026107 Zobrazit plný text záznamu