Limit Cycles Bifurcating from a Period Annulus in Continuous Piecewise Linear Differential Systems with Three Zones

DOI10.1142/S0218127417500225zbMath1362.34067arXiv1511.07200OpenAlexW2962808856MaRDI QIDQ5738119

Maurício Firmino Silva Lima, Claudio Pessoa, Weber Flávio Pereira

Publication date: 31 May 2017

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

Full work available at URL: https://arxiv.org/abs/1511.07200

zbMATH Keywords

limit cyclescenterfocusPoincaré mappiecewise linear vector fields

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) Bifurcation theory for ordinary differential equations (34C23)

Related Items (9)

Limit cycles appearing from the perturbation of differential systems with multiple switching curves ⋮ The number of limit cycles by perturbing a piecewise linear system with three zones ⋮ Limit Cycles Bifurcating from a Periodic Annulus in Discontinuous Planar Piecewise Linear Hamiltonian Differential System with Three Zones ⋮ Global dynamics of a degenerate planar piecewise linear differential system with three zones ⋮ Limit Cycles in Planar Piecewise Linear Hamiltonian Systems with Three Zones Without Equilibrium Points ⋮ Limit cycle bifurcations of planar piecewise differential systems with three zones ⋮ Two limit cycles in Liénard piecewise linear differential systems ⋮ Limit cycle bifurcations by perturbing piecewise Hamiltonian systems with a nonregular switching line via multiple parameters ⋮ Persistence of periodic solutions from discontinuous planar piecewise linear Hamiltonian differential systems with three zones

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