The Critical Locus for Complex H\'{e}non Maps
Tanya Firsova
TL;DR
This paper constructs a topological model of the critical locus for complex Hénon maps, specifically those that are perturbations of quadratic polynomials with disconnected Julia sets, enhancing understanding of their complex dynamics.
Contribution
It provides a novel topological model for the critical locus in complex Hénon maps near quadratic polynomials with disconnected Julia sets.
Findings
Topological model of the critical locus established
Insights into the structure of complex Hénon maps
Enhanced understanding of dynamical behavior near disconnected Julia sets
Abstract
We give a topological model of the critical locus for complex H\'{e}non maps that are perturbations of the quadratic polynomial with disconnected Julia set.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Differential Equations and Dynamical Systems · Meromorphic and Entire Functions