Visualization of Four Limit Cycles in Near-Integrable Quadratic Polynomial Systems
DOI10.1142/S0218127420502363zbMath1506.34049arXiv2002.09987OpenAlexW3112017983MaRDI QIDQ5148890
Publication date: 5 February 2021
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.09987
simulationlimit cycleMelnikov functionHilbert's 16th problemAndronov-Hopf bifurcationquadratic near-integrable system
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 of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)
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