A rigorous study of possible configurations of limit cycles bifurcating from a hyper-elliptic Hamiltonian of degree five

DOI10.1080/14689360802641206zbMath1175.37055OpenAlexW2049738217MaRDI QIDQ5321913

Warwick Tucker, Tomas Johnson

Publication date: 16 July 2009

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360802641206

zbMATH Keywords

Hyperelliptic Hamiltonian, interval analysisLimit cycles, small perturbation, planar Hamiltonian system

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Algorithms with automatic result verification (65G20) Computational methods for bifurcation problems in dynamical systems (37M20)

Related Items (3)

AN IMPROVED LOWER BOUND ON THE NUMBER OF LIMIT CYCLES BIFURCATING FROM A QUINTIC HAMILTONIAN PLANAR VECTOR FIELD UNDER QUINTIC PERTURBATION ⋮ A Quartic System with Twenty-Six Limit Cycles ⋮ AN IMPROVED LOWER BOUND ON THE NUMBER OF LIMIT CYCLES BIFURCATING FROM A HAMILTONIAN PLANAR VECTOR FIELD OF DEGREE 7

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