Limit Cycles in a Model of Olfactory Sensory Neurons
Dynamical Systems
2019-05-01 v1
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.
Keywords
Cite
@article{arxiv.1810.11715,
title = {Limit Cycles in a Model of Olfactory Sensory Neurons},
author = {Y. Xia and M. Grašič and W. Huang and V. Romanovski},
journal= {arXiv preprint arXiv:1810.11715},
year = {2019}
}
Comments
International Journal of Bifurcation and Chaos (accepted), 12 pages, 2 figures