Kato's chaos created by quadratic mappings associated with spherical orthotomic curves
Takashi Nishimura
TL;DR
This paper introduces singular quadratic mappings that generate Kato's chaos, providing new insights into complex dynamical behaviors associated with spherical orthotomic curves.
Contribution
It presents a novel class of quadratic mappings linked to spherical orthotomic curves that produce Kato's chaos, expanding understanding of chaotic dynamics.
Findings
Identification of singular quadratic mappings creating Kato's chaos
Connection between these mappings and spherical orthotomic curves
New examples of chaotic systems in geometric contexts
Abstract
Singular quadratic mappings creating Kato's chaos are given.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Quantum chaos and dynamical systems · Advanced Differential Equations and Dynamical Systems