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arXiv · 1210.7284

Exact Mapping Noisy van der Pol Type Oscillator onto Quasi-symplectic Dynamics

Ruoshi Yuan·Xinan Wang·Yian Ma·Bo Yuan·Ping Ao
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Abstract

We find exact mappings for a class of limit cycle systems with noise onto quasi-symplectic dynamics, including a van der Pol type oscillator. A dual role potential function is obtained as a component of the quasi-symplectic dynamics. Based on a stochastic interpretation different from the traditional Ito's and Stratonovich's, we show the corresponding steady state distribution is the familiar Boltzmann-Gibbs type for arbitrary noise strength. The result provides a new angle for understanding processes without detailed balance and can be verified by experiments.

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BibTeXRIS

Ruoshi Yuan, Xinan Wang, Yian Ma, Bo Yuan, Ping Ao. 2012-10-27. Exact Mapping Noisy van der Pol Type Oscillator onto Quasi-symplectic Dynamics. https://doi.org/10.1103/physreve.87.062109

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