Geodesic
Hopf bifurcation control of calcium oscillations in hepatocytes
Ji, Quanbao1 ; Zuo, Hongkun1 ; Zhou, Yi2
1 School of Financial Science, Huainan Normal University, Huainan 232038, Anhui, P. R. China
2 School of Financial Science, Huainan Normal University, Huainan 232038, Anhui, P. R. China
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 6, p. 2879-2885.

Voir la notice de l'article provenant de la source International Scientific Research Publications

This paper discusses a problem of the Hopf bifurcation control for a mathematical model of intracellular calcium oscillations by calculating the curvature coefficient of limit cycle and the bifurcation control theory. We find that the appearance and disappearance of calcium oscillations in this system are due to the supercritical and subcritical Hopf bifurcation of equilibrium points, respectively. In addition, a nonlinear feedback controller is proposed to control the frequency and amplitude of periodic orbits arising from the Hopf bifurcation. Numerical analysis and simulation results are carried out to illustrate the validity of the feedback controller in controlling Hopf bifurcations.
DOI : 10.22436/jnsa.010.06.03
Classification : 37G10, 37J20
Keywords: Calcium oscillations, control, Hopf bifurcation, curvature coefficient.

Ji, Quanbao 1 ; Zuo, Hongkun 1 ; Zhou, Yi 2

1 School of Financial Science, Huainan Normal University, Huainan 232038, Anhui, P. R. China
2 School of Financial Science, Huainan Normal University, Huainan 232038, Anhui, P. R. China 
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Ji, Quanbao; Zuo, Hongkun; Zhou, Yi. Hopf bifurcation control of calcium oscillations in hepatocytes. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 6, p. 2879-2885. doi : 10.22436/jnsa.010.06.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.06.03/

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