The existence of a stationary distribution for stochastic coupled oscillators

Jiqiang Feng and Chen Xu

Physica A: Statistical Mechanics and its Applications, 2020, vol. 537, issue C

Abstract: This paper addresses a stochastic coupled oscillators model. By employing the Lyapunov function method combined with Kirchhoff’s Matrix Tree Theorem in graph theory, we establish a sufficient criterion to guarantee the existence of a stationary distribution for stochastic coupled oscillators. Moreover, a numerical example is given to illustrate the effectiveness of our theoretical results.

Keywords: Stationary distribution; Stochastic coupled oscillators; Graph theory; Lyapunov function method (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:537:y:2020:i:c:s0378437119315213

DOI: 10.1016/j.physa.2019.122665

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