Bifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system

DOI10.1007/s12346-022-00567-0OpenAlexW4226052072WikidataQ114220819 ScholiaQ114220819MaRDI QIDQ5918619

Jiangbin Chen, Mao'an Han

Publication date: 15 March 2022

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-022-00567-0

zbMATH Keywords

bifurcationlimit cycleMelnikov functionpiecewise smooth system

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) 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) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items (2)

Limit Cycles in Discontinuous Piecewise Linear Planar Hamiltonian Systems Without Equilibrium Points ⋮ Composite Poincaré mapping of double grazing in non-smooth dynamical systems: bifurcations and insights

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