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math.DS2013★ 1 cited
Hausdorff dimension of the sets of Li-Yorke pairs for some chaotic dynamical systems including A-coupled expanding systems
Hyonhui Ju, Jinhyon Kim, Peter Raith
In this paper we consider Hausdorff dimension of the sets of Li-Yorke pairs for some chaotic dynamical systems including -coupled expanding systems. We prove that Li-Yorke pairs…
math.DS2013★ 2 cited
Entropy for A-coupled-expanding Maps and Chaos
Chol-Gyun Ri, Hyon-Hui Ju, Xiaoqun Wu
The concept of "-coupled-expanding" map for a transition matrix has been studied as one of the most important criteria of chaos in the past years. In this paper, the lower b…