On the Number of Limit Cycles Bifurcating from a Compound Polycycle

DOI10.1142/S0218127420500996zbMath1451.34034OpenAlexW3040354715MaRDI QIDQ5116621

Yun Tian, Lijuan Sheng, Mao'an Han

Publication date: 18 August 2020

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

Full work available at URL: https://doi.org/10.1142/s0218127420500996

zbMATH Keywords

bifurcationlimit cyclehomoclinic loopheteroclinic loopalien limit cycle

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) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (4)

Limit cycle bifurcations near a double 2-polycycle on the cylinder ⋮ Limit cycles in the discontinuous planar piecewise linear systems with three zones ⋮ ZERO BIFURCATION DIAGRAMS FOR ABELIAN INTEGRALS: A STUDY ON HIGHER-ORDER HYPERELLIPTIC HAMILTONIAN SYSTEMS WITH THREE PERTURBATION PARAMETERS ⋮ BIFURCATION OF LIMIT CYCLES FROM A COMPOUND LOOP WITH FIVE SADDLES

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