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Asymptotic separation of periodic orbits and fractal dimension

Kong, Derong et al.
arXiv (OAI Expanded) · Papers
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28a80dynamical-systems
For a totally bounded metric dynamical system $(X, d, T)$ we introduce a new critical value $\mathfrak s(X, d, T)$ which quantifies the asymptotic separation of periodic orbits. More precisely, $\mathfrak s(X,d,T)$ is defined to be the supremum of all $s\ge 0$ for which there exists a sequence of pe
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