Limit cycles and chaos in planar hybrid systems

DOI10.1016/J.CNSNS.2024.108382MaRDI QIDQ6649271

Paulo Santana, Jaume Llibre

Publication date: 5 December 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

chaoslimit cycleshybrid dynamical systems

Mathematics Subject Classification ID

Discontinuous ordinary differential equations (34A36)

Cites Work

• Title not available (Why is that?)
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• On Devaney's Definition of Chaos
• Minimal sets and chaos in planar piecewise smooth vector fields
• Exact analytic solution for a chaotic hybrid dynamical system and its electronic realization
• Melnikov-type method for chaos in a class of hybrid piecewise-smooth systems with impact and noise excitation under unilateral rigid constraint
• Planar quartic-quadratic fold-fold singularity of Filippov systems and its bifurcation
• Integrable 2D and 3D piecewise smooth vector fields with chaotic behavior and preserving energy or not

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