Bifurcation Analysis of a Belousov–Zhabotinsky Reaction Model

DOI10.1142/S0218127415500935zbMath1317.34114OpenAlexW2207756880MaRDI QIDQ5499902

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Publication date: 5 August 2015

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127415500935

zbMATH Keywords

frequency domainBelousov-Zhabotinsky reactionfourth-order harmonic balance

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Classical flows, reactions, etc. in chemistry (92E20) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Cites Work

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• The mechanism of bursting phenomena in Belousov-Zhabotinsky (BZ) chemical reaction with multiple time scales
• Spiral waves in the Belousov-Zhabotinskii reaction
• Computations of limit cycles via higher-order harmonic balance approximation
• A Spatial Frequency Domain Analysis of the Belousov–Zhabotinsky Reaction
• BIPHASIC OPTICAL SIGNAL OF AN OSCILLATING NONSTATIONARY BELOUSOV–ZHABOTINSKY BULK REACTION AND ITS SIMILARITY TO SOME NEUROPHYSIOLOGICAL EVENTS
• The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems
• MESOSCOPIC DESCRIPTION OF CHEMICAL SUPERCRITICAL HOPF BIFURCATION
• Computation of limit cycle via higher order harmonic balance approximation and its application to a 3-bus power system