Conference proceeding
On Phase Reduction and Time Period of Noisy Oscillators
2019 IEEE 58th Conference on Decision and Control (CDC), pp.4717-4722
12/2019
DOI: 10.1109/CDC40024.2019.9030112
Abstract
We study phase reduction for noisy oscillator models by deriving a reduced order stochastic differential equation describing the phase evolution using the first and second order Phase Response Curves (PRCs). We discuss direct methods and ordinary differential equations for computing these PRCs, and derive approximate first and second moments of the time period of the oscillator models in terms of functions of the PRCs. We illustrate the theoretical results on a noisy Hopf bifurcation normal form, on a noisy Van der Pol oscillator, and on a noisy bursting neuron model.
Details
- Title: Subtitle
- On Phase Reduction and Time Period of Noisy Oscillators
- Creators
- Zahra Aminzare - University of Iowa,Department of Mathematics,IA,USAPhilip Holmes - Princeton Neuroscience Institute, Princeton University,Program in Applied and Computational Mathematics,Princeton,NJ,USAVaibhav Srivastava - Michigan State University,Electrical and Computer Engineering,East Lansing,MI,USA
- Resource Type
- Conference proceeding
- Publication Details
- 2019 IEEE 58th Conference on Decision and Control (CDC), pp.4717-4722
- DOI
- 10.1109/CDC40024.2019.9030112
- eISSN
- 2576-2370
- Publisher
- IEEE
- Language
- English
- Date published
- 12/2019
- Academic Unit
- Iowa Neuroscience Institute; Mathematics
- Record Identifier
- 9984065770402771
Metrics
30 Record Views