Limit cycle bifurcations of planar piecewise differential systems with three zones

DOI10.1016/j.nonrwa.2021.103333zbMath1478.34042OpenAlexW3142695504MaRDI QIDQ2066560

Cheng Wang, Yanqin Xiong

Publication date: 14 January 2022

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2021.103333

zbMATH Keywords

limit cycleperiodic orbitHamiltonian systempiecewise differential 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)

Related Items (7)

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 ⋮ Dynamic analysis of piecewise nonlinear systems with fractional differential delay feedback control ⋮ Global dynamics of a degenerate planar piecewise linear differential system with three zones ⋮ Limit cycle bifurcations by perturbing piecewise Hamiltonian systems with a nonregular switching line via multiple parameters ⋮ Bifurcation of periodic orbits and its application for high-dimensional piecewise smooth near integrable systems with two switching manifolds ⋮ Persistence of periodic solutions from discontinuous planar piecewise linear Hamiltonian differential systems with three zones

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