HOPF BIFURCATION IN A CALCIUM OSCILLATION MODEL AND ITS CONTROL: FREQUENCY DOMAIN APPROACH

DOI10.1142/S0218127413500120zbMath1270.34120OpenAlexW2075214428MaRDI QIDQ2845326

Yu Chang, Jin-Liang Wang, Li-Li Zhou

Publication date: 22 August 2013

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

Full work available at URL: https://doi.org/10.1142/s0218127413500120

zbMATH Keywords

frequency domainHopf bifurcationsecond-order harmonic balance

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Cell biology (92C37) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (1)

Heteroclinic Trajectory and Hopf Bifurcation in an Extended Lorenz System

Cites Work

• Bursting, chaos and birhythmicity originating from self-modulation of the inositol 1,4,5-trisphosphate signal in a model for intracellular Ca\(^{2+}\) oscillations
• Different types of bursting calcium oscillations in non-excitable cells
• Computations of limit cycles via higher-order harmonic balance approximation
• The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems
• Computation of limit cycle via higher order harmonic balance approximation and its application to a 3-bus power system

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