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The existence of a stationary distribution for stochastic coupled oscillators

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  • Feng, Jiqiang
  • Xu, Chen

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.

Suggested Citation

  • Feng, Jiqiang & Xu, Chen, 2020. "The existence of a stationary distribution for stochastic coupled oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    • Handle: RePEc:eee:phsmap:v:537:y:2020:i:c:s0378437119315213
    DOI: 10.1016/j.physa.2019.122665
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    References listed on IDEAS

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    1. Liu, Qun & Jiang, Daqing & Shi, Ningzhong & Hayat, Tasawar & Ahmad, Bashir, 2017. "Stationary distribution and extinction of a stochastic SEIR epidemic model with standard incidence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 476(C), pages 58-69.
    2. Zhang, Xinhong & Jiang, Daqing & Alsaedi, Ahmed & Hayat, Tasawar, 2016. "Periodic solutions and stationary distribution of mutualism models in random environments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 460(C), pages 270-282.
    3. Liu, Qun & Jiang, Daqing & Shi, Ningzhong & Hayat, Tasawar & Alsaedi, Ahmed, 2017. "Stationary distribution and extinction of a stochastic SIRS epidemic model with standard incidence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 510-517.
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