Two-fold symmetric singularity
Alain Jacquemard, Marco Antonio Teixeira, Durval Jose Tonon
TL;DR
This paper investigates the local dynamics near a three-dimensional two-fold symmetric singularity, focusing on the existence of a family of regular pseudo-periodic orbits in reversible systems.
Contribution
It introduces the analysis of regular pseudo-periodic orbits near a three-dimensional two-fold symmetric singularity, expanding understanding of local dynamics in such systems.
Findings
Existence of a one-parameter family of pseudo-periodic orbits
Characterization of dynamics near the symmetric singularity
Insights into reversible system behavior
Abstract
We explore some qualitative dynamics in the neighborhood of the two-fold symmetric singularity. We study the existence of an one-parameter family of regular (pseudo) periodic orbits of such systems near a reversible two-fold singularity.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Quantum chaos and dynamical systems · Mathematical Dynamics and Fractals