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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Gong, Shirui [1] ; Tang, Xiaodong [1] ; Zheng, Juhua [1] ; Nascimento, Melke A. [2] ; Varela, Hamilton [2] ; Zhao, Yuemin [1] ; Gao, Qingyu [1]
Total Authors: 7
Affiliation:
[1] China Univ Min & Technol, Coll Chem Engn, Xuzhou 221116 - Peoples R China
[2] Univ Sao Paulo, Inst Chem Sao Carlos, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Chemical Physics Letters; v. 567, p. 55-59, APR 19 2013.
Web of Science Citations: 0
Abstract

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. (C) 2013 Elsevier B. V. All rights reserved. (AU)

FAPESP's process: 11/10982-0 - Spatio-temporal patterns in electrocatalysis: experiments, modeling and numerical simulations
Grantee:Melke Augusto do Nascimento
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 09/07629-6 - Electrocatalysis IV: fundamental and applied aspects of electrocatalytic processes, bio-electrocatalysis and kinetic instabilities
Grantee:Edson Antonio Ticianelli
Support Opportunities: Program for Research on Bioenergy (BIOEN) - Thematic Grants