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The existence of a stationary distribution for stochastic coupled oscillators.
- Source :
-
Physica A . Jan2020, Vol. 537, pN.PAG-N.PAG. 1p. - Publication Year :
- 2020
-
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. • The problem we considered is the existence of a stationary distribution of a stochastic coupled oscillators model. • By using the Lyapunov method and Kirchhoff's Matrix Tree Theorem. • The approach we employ avoids constructing a Lyapunov function directly. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LAPLACIAN matrices
*TREE graphs
*LYAPUNOV functions
*DUFFING oscillators
Subjects
Details
- Language :
- English
- ISSN :
- 03784371
- Volume :
- 537
- Database :
- Academic Search Index
- Journal :
- Physica A
- Publication Type :
- Academic Journal
- Accession number :
- 141783756
- Full Text :
- https://doi.org/10.1016/j.physa.2019.122665