Limit cycle bifurcations by perturbing non-smooth Hamiltonian systems with 4 switching lines via multiple parameters

DOI10.1016/j.nonrwa.2017.10.020zbMath1388.34013OpenAlexW2769123263MaRDI QIDQ1698368

Yanqin Xiong

Publication date: 15 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.10.020

zbMATH Keywords

limit cycleperiodic orbitMelnikov functionnon-smooth systemnear-Hamiltonian systems

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) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (9)

Limit cycles appearing from the perturbation of differential systems with multiple switching curves ⋮ Bifurcation from Periodic Orbits of n-Dimensional Piecewise Smooth Differential Systems with Two Switching Planes ⋮ On the Number of Limit Cycles Bifurcating from a Compound Polycycle ⋮ ON THE NUMBER OF LIMIT CYCLES BY PERTURBING A PIECEWISE SMOOTH HAMILTON SYSTEM WITH TWO STRAIGHT LINES OF SEPARATION ⋮ Limit cycles in two kinds of quadratic reversible systems with non-smooth perturbations ⋮ Limit cycle bifurcations from a quadratic center with two switching lines ⋮ Limit cycles of piecewise polynomial differential systems with the discontinuity line \(xy = 0\) ⋮ Limit cycle bifurcations of planar piecewise differential systems with three zones ⋮ Limit cycle bifurcations by perturbing piecewise Hamiltonian systems with a nonregular switching line via multiple parameters

Cites Work

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