Hopf bifurcation in a calcium oscillation model and its control: Frequency domain approach

Yu Chang; Lili Zhou; Jinliang Wang

doi:10.1142/S0218127413500120

Hopf bifurcation in a calcium oscillation model and its control: Frequency domain approach

Yu Chang^*
, Lili Zhou
, Jinliang Wang

^*Corresponding author for this work

School of Mathematical Sciences

Beijing University of Chemical Technology

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The Hopf bifurcation in a calcium oscillation model is theoretically analyzed by Hopf bifurcation theory in frequency domain. Approximation expressions for frequencies and amplitudes of periodic orbits arising from Hopf bifurcation are provided by using second-order harmonic balance method. In addition, a new method is proposed to control the amplitudes of the periodic orbits. Numerical simulations show the effectiveness of the method for suppressing periodic oscillations.

Original language	English
Article number	1350012
Journal	International Journal of Bifurcation and Chaos
Volume	23
Issue number	1
DOIs	https://doi.org/10.1142/S0218127413500120
State	Published - Jan 2013

Keywords

Frequency domain
Hopf bifurcation
second-order harmonic balance

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10.1142/S0218127413500120

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title = "Hopf bifurcation in a calcium oscillation model and its control: Frequency domain approach",

abstract = "The Hopf bifurcation in a calcium oscillation model is theoretically analyzed by Hopf bifurcation theory in frequency domain. Approximation expressions for frequencies and amplitudes of periodic orbits arising from Hopf bifurcation are provided by using second-order harmonic balance method. In addition, a new method is proposed to control the amplitudes of the periodic orbits. Numerical simulations show the effectiveness of the method for suppressing periodic oscillations.",

keywords = "Frequency domain, Hopf bifurcation, second-order harmonic balance",

author = "Yu Chang and Lili Zhou and Jinliang Wang",

year = "2013",

month = jan,

doi = "10.1142/S0218127413500120",

language = "英语",

volume = "23",

journal = "International Journal of Bifurcation and Chaos",

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T1 - Hopf bifurcation in a calcium oscillation model and its control

T2 - Frequency domain approach

AU - Chang, Yu

AU - Zhou, Lili

AU - Wang, Jinliang

PY - 2013/1

Y1 - 2013/1

N2 - The Hopf bifurcation in a calcium oscillation model is theoretically analyzed by Hopf bifurcation theory in frequency domain. Approximation expressions for frequencies and amplitudes of periodic orbits arising from Hopf bifurcation are provided by using second-order harmonic balance method. In addition, a new method is proposed to control the amplitudes of the periodic orbits. Numerical simulations show the effectiveness of the method for suppressing periodic oscillations.

AB - The Hopf bifurcation in a calcium oscillation model is theoretically analyzed by Hopf bifurcation theory in frequency domain. Approximation expressions for frequencies and amplitudes of periodic orbits arising from Hopf bifurcation are provided by using second-order harmonic balance method. In addition, a new method is proposed to control the amplitudes of the periodic orbits. Numerical simulations show the effectiveness of the method for suppressing periodic oscillations.

KW - Frequency domain

KW - Hopf bifurcation

KW - second-order harmonic balance

UR - https://www.scopus.com/pages/publications/84874596393

U2 - 10.1142/S0218127413500120

DO - 10.1142/S0218127413500120

M3 - 文章

AN - SCOPUS:84874596393

SN - 0218-1274

VL - 23

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 1

M1 - 1350012

ER -

Hopf bifurcation in a calcium oscillation model and its control: Frequency domain approach

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Keywords

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