Abstract
In this paper, we investigate the complexity of random dynamical systems. Assume that ϕ is a continuous random dynamical system on Polish space X over an ergodic Polish system (Ω,F,P,θ). Let K be a ϕ-invariant random set with compact ω-section K(ω) such that ϕ(ω)(K(ω))=K(θω). We proved that if htop(ϕ,K)>0, then there exists chaotic phenomenon (strong second type of distributional chaos) in this random dynamical system.
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