Normal forms of planar switching systems

DOI10.3934/DCDS.2016092zbMath1368.37057OpenAlexW2534633985MaRDI QIDQ727406

Xingwu Chen, Wei Nian Zhang

Publication date: 6 December 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016092

zbMATH Keywords

monodromyHopf bifurcationnormal formswitching system

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05) Bifurcations of singular points in dynamical systems (37G10) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (7)

Global Dynamics of a Filippov SIQR Model with Delayed Relay Control ⋮ Averaging approach to cyclicity of Hopf bifurcation in planar linear-quadratic polynomial discontinuous differential systems ⋮ Stability and bifurcation analysis of Filippov food chain system with food chain control strategy ⋮ Linearization and perturbations of piecewise smooth vector fields with a boundary equilibrium ⋮ Dynamical analysis in a piecewise smooth predator–prey model with predator harvesting ⋮ Limit cycles bifurcated from a focus-fold singularity in general piecewise smooth planar systems ⋮ Bifurcations of Finite-Time Stable Limit Cycles from Focus Boundary Equilibria in Impacting Systems, Filippov Systems, and Sweeping Processes

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