Amplitude-modulated spiral waves arising from a secondary Hopf bifurcation in mixed-mode oscillatory media

Autor:	Shirui Gong, Melke A. Nascimento, Hamilton Varela, Juhua Zheng, Xiaodong Tang, Qingyu Gao, Yuemin Zhao
Rok vydání:	2013
Předmět:	Hopf bifurcation Physics Basis (linear algebra) ELETROQUÍMICA General Physics and Astronomy Torus symbols.namesake Superposition principle Coupling (physics) Amplitude Classical mechanics symbols Physical and Theoretical Chemistry Spiral (railway) Diffusion (business)
Zdroj:	Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual) Universidade de São Paulo (USP) instacron:USP
ISSN:	0009-2614
DOI:	10.1016/j.cplett.2013.02.042
Popis:	Herein we communicate on the spatial temporal dynamics of a diffusively-coupled medium of Rossler oscillators under mixed-mode regime. The secondary Hopf bifurcation, resulting from coupling between mixed-mode oscillations and diffusion was found to produce amplitude-modulated spiral waves, including overtarget waves and superspiral waves on the basic spiral waves. The Poincare return maps and Fourier spectra were used to analyze the different spatiotemporal structures. The diffusion-induced torus oscillations form the dynamical basis for all kinds of superposition waves in autonomous reaction–diffusion systems.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::83c34e89df00ba9c224582b902c73100 https://doi.org/10.1016/j.cplett.2013.02.042 Zobrazit plný text záznamu Full Text from ScienceDirect