ON THE NUMBER OF LIMIT CYCLES BY PERTURBING A PIECEWISE SMOOTH HAMILTON SYSTEM WITH TWO STRAIGHT LINES OF SEPARATION

DOI10.11948/20190220zbMath1473.34025OpenAlexW3111571437MaRDI QIDQ5165261

Jihua Yang

Publication date: 16 November 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/20190220

zbMATH Keywords

limit cycleMelnikov functiongeneralized homoclinic looppiecewise smooth Hamilton system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) 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 (2)

Limit Cycles Bifurcating from a Periodic Annulus in Discontinuous Planar Piecewise Linear Hamiltonian Differential System with Three Zones ⋮ Persistence of periodic solutions from discontinuous planar piecewise linear Hamiltonian differential systems with three zones

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