A note on the paper ``Center and isochronous center conditions for switching systems associated with elementary singular points

DOI10.1016/j.cnsns.2020.105405zbMath1454.34051OpenAlexW3035681295MaRDI QIDQ2208207

Yanyan Li

Publication date: 23 October 2020

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

Full work available at URL: https://doi.org/10.1016/j.cnsns.2020.105405

zbMATH Keywords

limit cyclesswitching systemfocus value\(Z_2\)-equivariant

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Discontinuous ordinary differential equations (34A36)

Related Items (2)

Local cyclicity and criticality in FF-type piecewise smooth cubic and quartic Kukles systems ⋮ Limit cycles in a switching Liénard system

Cites Work

• Bifurcation of periodic orbits emanated from a vertex in discontinuous planar systems
• Bifurcation of a non-smooth planar limit cycle from a vertex
• Generalized Hopf bifurcation emerged from a corner in general planar piecewise smooth systems
• On the limit cycles of perturbed discontinuous planar systems with 4 switching lines
• Bifurcation of sliding periodic orbits in periodically forced discontinuous systems
• Center and isochronous center conditions for switching systems associated with elementary singular points

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