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Random periodic solutions of nonautonomous stochastic feedback systems with multiplicative noise
- Publication Year :
- 2022
-
Abstract
- We investigate the dynamical behavior of pull-back trajectories for nonautonomous stochastic feedback systems with multiplicative noise. We proved that there exists a random periodic solution of this system and all pull-back trajectories converge to this random periodic solution as time goes to infinitely almost surely. Our results can be applied to nonautonomous stochastic Goodwin negative feedback system, nonautonomous stochastic Othmer-Tyson positive feedback system and nonautonomous stochastic competitive systems etc.
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2203.08531
- Document Type :
- Working Paper