LIMIT CYCLE BIFURCATIONS OF A KIND OF LIÉNARD SYSTEM WITH A HYPOBOLIC SADDLE AND A NILPOTENT CUSP

DOI10.11948/2015041zbMath1452.34046OpenAlexW1839968669MaRDI QIDQ5121206

Feng Liang, Junmin Yang

Publication date: 11 September 2020

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

Full work available at URL: https://doi.org/10.11948/2015041

zbMATH Keywords

Liénard systemlimit cycleheteroclinic loopnilpotent cusp

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (7)

Limit cycle bifurcations for a kind of Liénard system with degree seven ⋮ PERIODIC SOLUTION OF A HIGHER DIMENSIONAL ECOLOGICAL SYSTEM ⋮ Perturbations of a class of hyper-elliptic Hamiltonian systems of degree seven with nilpotent singular points ⋮ DYNAMIC ANALYSIS OF A NON-AUTONOMOUS RATIO-DEPENDENT PREDATOR-PREY MODEL WITH ADDITIONAL FOOD ⋮ UPPER BOUNDS FOR THE ASSOCIATED NUMBER OF ZEROS OF ABELIAN INTEGRALS FOR TWO CLASSES OF QUADRATIC REVERSIBLE CENTERS OF GENUS ONE ⋮ On the independent perturbation parameters and the number of limit cycles of a type of Liénard system ⋮ ZERO BIFURCATION DIAGRAMS FOR ABELIAN INTEGRALS: A STUDY ON HIGHER-ORDER HYPERELLIPTIC HAMILTONIAN SYSTEMS WITH THREE PERTURBATION PARAMETERS

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