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arXiv · 1609.04582

Perpetual points and periodic perpetual loci in maps

Dawid Dudkowski·Awadhesh Prasad·Tomasz Kapitaniak
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Abstract

We introduce the concepts of perpetual points and periodic perpetual loci in discrete--time systems (maps). The occurrence and analysis of these points/loci are shown and basic examples are considered. We discuss the potential usage and properties of introduced concepts. The comparison of perpetual points and loci in discrete--time and continuous--time systems is presented. Discussed methods can be widely applied in other dynamical systems.

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Dawid Dudkowski, Awadhesh Prasad, Tomasz Kapitaniak. 2016-09-15. Perpetual points and periodic perpetual loci in maps. https://doi.org/10.1063/1.4964266

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