Generalized Hopf bifurcation in a class of planar switched systems

DOI10.1080/14689367.2011.604026zbMath1252.37041OpenAlexW2001555961MaRDI QIDQ3106381

Xiao-Song Yang, Song-Mei Huan

Publication date: 21 December 2011

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2011.604026

zbMATH Keywords

periodic orbitsswitched systemsgeneralized Hopf bifurcation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Perturbations in context of PDEs (35B20) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items

The existence and stability analyses of periodic orbits in 3-dimensional piecewise affine systems, Existence of Homoclinic Cycles and Periodic Orbits in a Class of Three-Dimensional Piecewise Affine Systems, Existence and Stability of Invariant Cones in 3-Dim Homogeneous Piecewise Linear Systems with Two Zones, Generalized Hopf bifurcation emerged from a corner in general planar piecewise smooth systems, Periodic sinks and periodic saddle orbits induced by heteroclinic bifurcation in three-dimensional piecewise linear systems with two zones, Existence of limit cycles in general planar piecewise linear systems of saddle-saddle dynamics, On the number of limit cycles in general planar piecewise linear systems of node-node types, Limit Cycles in a Family of Planar Piecewise Linear Differential Systems with a Nonregular Separation Line, Existence of Chaotic Invariant Set in a Class of 4-Dimensional Piecewise Linear Dynamical Systems, Existence of Invariant Cones in General 3-Dim Homogeneous Piecewise Linear Differential Systems with Two Zones

Cites Work

• Limit cycles and chaotic invariant sets in autonomous hybrid planar systems
• Andronov-Hopf bifurcations in planar, piecewise-smooth, continuous flows
• Generalized Hopf bifurcation for planar Filippov systems continuous at the origin
• Stability of large cycles in a nonsmooth problem with Hopf bifurcation at infinity
• Generalized Hopf bifurcation emanated from a corner for piecewise smooth planar systems
• Bifurcation phenomena in non-smooth dynamical systems
• Bifurcations in Nonsmooth Dynamical Systems
• Generalized Hopf bifurcation for non-smooth planar systems
• Basic problems in stability and design of switched systems
• On the Hopf bifurcation in control systems with a bounded nonlinearity asymptotically homogeneous at infinity