Limit Cycles in a Model of Olfactory Sensory Neurons-Reference-Cited by-同舟云学术

Limit Cycles in a Model of Olfactory Sensory Neurons

Published:2019-03 Issue:03 Volume:29 Page:1950038
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Xia Yonghui¹,Grašič Mateja²³,Huang Wentao⁴^ORCID,Romanovski Valery G.²⁵⁶

Affiliation:

1. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, P. R. China

2. Faculty of Natural Science and Mathematics, University of Maribor, SI-2000 Maribor, Slovenia

3. Institute of Mathematics, Physics and Mechanics, SI-1000 Ljubljana, Slovenia

4. School of Science, Guilin University of Aerospace Technology, Guilin 541004, P. R. China

5. Faculty of Electrical Engineering and Computer Science, University of Maribor, SI-2000 Maribor, Slovenia

6. Center for Applied Mathematics and Theoretical Physics, SI-2000 Maribor, Slovenia

Abstract

We propose an approach to study small limit cycle bifurcations on a center manifold in analytic or smooth systems depending on parameters. We then apply it to the investigation of limit cycle bifurcations in a model of calcium oscillations in the cilia of olfactory sensory neurons and show that it can have two limit cycles: a stable cycle appearing after a Bautin (generalized Hopf) bifurcation and an unstable cycle appearing after a subcritical Hopf bifurcation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021812741950038X

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