Complex Dynamics in the Shen-Larter Model of Calcium Oscillations
- 10.2991/ameii-16.2016.227How to use a DOI?
- Shen-Larter model, calcium oscillation, supercritical Hopf bifurcation, equilibrium, center manifold theory
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.
- © 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/).
Cite this article
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 -