Geodesic
Weak random periodic solutions of random dynamical systems
Canadian mathematical bulletin, Tome 67 (2024) no. 1, pp. 137-151

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DOI

We first introduce the concept of weak random periodic solutions of random dynamical systems. Then, we discuss the existence of such periodic solutions. Further, we introduce the definition of weak random periodic measures and study their relationship with weak random periodic solutions. In particular, we establish the existence of invariant measures of random dynamical systems by virtue of their weak random periodic solutions. We use concrete examples to illustrate the weak random periodic phenomena of dynamical systems induced by random and stochastic differential equations.
DOI : 10.4153/S0008439523000590
Mots-clés : Random dynamical system, stochastic differential equation, weak random periodic solution, weak random periodic measure, invariant measure 
Sun, Wei; Zheng, Zuo-Huan. Weak random periodic solutions of random dynamical systems. Canadian mathematical bulletin, Tome 67 (2024) no. 1, pp. 137-151. doi: 10.4153/S0008439523000590
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     year = {2024},
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     doi = {10.4153/S0008439523000590},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000590/}
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