Chaos and periodicity on star graphs
Jorge L. Guerrero, David Milovich
TL;DR
This paper investigates conditions under which continuous maps on star graphs exhibit chaos and full periodicity, focusing on the orbit of the central point.
Contribution
It provides new sufficient conditions related to the center's orbit for chaos and periodicity in star graph maps.
Findings
Identifies conditions for Li-Yorke chaos on star graphs
Establishes criteria for full periodicity based on the center's orbit
Advances understanding of dynamical behavior on star graphs
Abstract
For a continuous self-map of a star graph to be Li-Yorke chaotic and to have full periodicity, we prove some new sufficient conditions on the orbit of the center.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Cellular Automata and Applications · Quantum chaos and dynamical systems