arXiv Open Access 2022

Random periodic solutions of nonautonomous stochastic feedback systems with multiplicative noise

Zhao Dong Weili Zhang Zuohuan Zheng

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Abstrak

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.

Topik & Kata Kunci

math.DS math.OC math.PR

Penulis (3)

Zhao Dong

Weili Zhang

Zuohuan Zheng

Format Sitasi

APA MLA BibTeX

Dong, Z., Zhang, W., Zheng, Z. (2022). Random periodic solutions of nonautonomous stochastic feedback systems with multiplicative noise. https://arxiv.org/abs/2203.08531

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓