Bifurcation Analysis of Planar Piecewise Linear System with Different Dynamics

DOI10.1142/S0218127416501856zbMath1349.34123MaRDI QIDQ2834949

Zhensheng Gao, Dingheng Pi, Xiaoshi Guo

Publication date: 1 December 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

bifurcationperiodic orbitPoincaré mapplanar piecewise linear systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36)

Cites Work

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• On the critical crossing cycle bifurcation in planar Filippov systems
• Limit cycles bifurcate from centers of discontinuous quadratic systems
• Generic bifurcations of low codimension of planar Filippov systems
• Dynamics and bifurcations of non-smooth mechanical systems
• On the number of limit cycles in general planar piecewise linear systems of node-node types
• Existence of limit cycles in general planar piecewise linear systems of saddle-saddle dynamics
• One-Parameter Bifurcations in Planar Filippov Systems
• Canonical Discontinuous Planar Piecewise Linear Systems

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