Complex Dynamics in the Shen-Larter Model of Calcium Oscillations

DOI

10.2991/ameii-16.2016.227How to use a DOI?

Keywords

Shen-Larter model, calcium oscillation, supercritical Hopf bifurcation, equilibrium, center manifold theory

Abstract

This paper discusses the nonlinear dynamics of Shen-Larter calcium oscillation model with the center manifold theorem and bifurcation theory. A numerical approach is provided to discuss the variation in classification and stability of equilibria with parameter value. It is shown that the critical values of parameter in this model are due to supercritical Hopf bifurcation of equilibria. This numerical simulation confirms the theoretical results of this research. Finally, a complete description of the complex dynamics of the Shen-Larter calcium oscillation model is provided by combining the numerical and theoretical results.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Jianwei Hu
AU  - Huiping Fang
AU  - Wei Fang
PY  - 2016/04
DA  - 2016/04
TI  - Complex Dynamics in the Shen-Larter Model of Calcium Oscillations
BT  - Proceedings of the 2nd International Conference on Advances in Mechanical Engineering and Industrial Informatics (AMEII 2016)
PB  - Atlantis Press
SP  - 1200
EP  - 1205
SN  - 2352-5401
UR  - https://doi.org/10.2991/ameii-16.2016.227
DO  - 10.2991/ameii-16.2016.227
ID  - Hu2016/04
ER  -