EXACT BOUND ON THE NUMBER OF LIMIT CYCLES ARISING FROM A PERIODIC ANNULUS BOUNDED BY A SYMMETRIC HETEROCLINIC LOOP

DOI10.11948/20190294zbMath1457.34053OpenAlexW3005457745MaRDI QIDQ5858015

Xian Bo Sun

Publication date: 9 April 2021

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

Full work available at URL: https://doi.org/10.11948/20190294

zbMATH Keywords

limit cycleAbelian integralheteroclinic loopsharp bound

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (2)

Upper Bound on the Number of Zeros of Abelian Integrals for Hyperbolic Hamiltonian Systems of Degree Seven ⋮ Nine limit cycles in a 5-degree polynomials Liénard system

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