Synchronisation of almost all trajectories of a random dynamical system

DOI10.3934/DCDS.2020176zbMath1441.37008arXiv1511.08831OpenAlexW3015638916MaRDI QIDQ2176537

Julian Newman

Publication date: 5 May 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.08831

zbMATH Keywords

asymptotic stabilityMarkov processesinvariant measuresrandom dynamical systemssynchronisation

Mathematics Subject Classification ID

Strong limit theorems (60F15) Dynamical systems and their relations with probability theory and stochastic processes (37A50) General theory of random and stochastic dynamical systems (37H05) Stability theory for random and stochastic dynamical systems (37H30)

Cites Work

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• Synchronization in minimal iterated function systems on compact manifolds
• Synchronization by noise
• Synchronization by noise for order-preserving random dynamical systems
• Analytical and numerical studies of noise-induced synchronization of chaotic systems
• Necessary and sufficient conditions for stable synchronization in random dynamical systems
• Almost sure weak convergence of random probability measures

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