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The aim of this paper is to show that α-limit sets in Lorenz maps do not have to be completely invariant. This highlights unexpected dynamical behavior in these maps, showing… Click to show full abstract
The aim of this paper is to show that α-limit sets in Lorenz maps do not have to be completely invariant. This highlights unexpected dynamical behavior in these maps, showing gaps existing in the literature. Similar result is obtained for unimodal maps on [0,1]. On the basis of provided examples, we also present how the performed study on the structure of α-limit sets is closely connected with the calculation of the topological entropy.
Keywords:
limit sets;
sets lorenz;
lorenz maps
Journal Title: Entropy
Year Published: 2021
Link to full text (if available)
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Journal Title: Entropy
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!