Existence of Closed Orbit in Piecewise Continuous Matsumoto-Chua System
Jeferson Cassiano
TL;DR
This paper investigates the conditions under which closed orbits exist in the piecewise continuous Matsumoto-Chua system, focusing on pseudo saddle-node bifurcations and their relation to stable fixed points.
Contribution
It provides new conditions for the existence of closed orbits in the Matsumoto-Chua system, especially near pseudo saddle-node bifurcations.
Findings
Identifies conditions for closed orbit existence
Analyzes pseudo saddle-node bifurcation effects
Links closed orbits to stable fixed points
Abstract
In this paper we study conditions for the existence of the close orbit in piecewise continuous Matsumoto-Chua System. Our interest are in a pseudo saddle-node bifurcation in the first return application. In this bifurcation the close orbit is releted to stable fixed point.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Advanced Differential Geometry Research · Quantum chaos and dynamical systems