Periodic points in the intersection of immediate attracting basins boundaries
Bastien Rossetti
TL;DR
This paper establishes conditions for the existence and density of eventually periodic points within the intersection of immediate attracting basin boundaries in dynamical systems.
Contribution
It provides new sufficient conditions for the non-emptiness and density of periodic points in basin boundary intersections.
Findings
Conditions for non-empty periodic points set
Conditions for density of periodic points
Enhanced understanding of basin boundary dynamics
Abstract
We give sufficient conditions under which the set of eventually periodic points in the intersection of immediate attracting basins boundaries is non-empty. We give other conditions under which this set is dense in the intersection.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Quantum chaos and dynamical systems · Advanced Mathematical Modeling in Engineering