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arXiv · 1810.11715

Limit Cycles in a Model of Olfactory Sensory Neurons

Y. Xia·M. Grašič·W. Huang·V. Romanovski
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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.

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Y. Xia, M. Grašič, W. Huang, V. Romanovski. 2018-10-27. Limit Cycles in a Model of Olfactory Sensory Neurons. https://doi.org/10.1142/s021812741950038x

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