Critical period bifurcations of a cubic system
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Publication:4707580
DOI10.1088/0305-4470/36/18/306zbMath1037.34034OpenAlexW2089389841MaRDI QIDQ4707580
Valery G. Romanovski, Mao'an Han
Publication date: 12 October 2003
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/36/18/306
Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)
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Decomposition of algebraic sets and applications to weak centers of cubic systems ⋮ Weak Center and Bifurcation of Critical Periods in a Cubic Z2-Equivariant Hamiltonian Vector Field ⋮ Weak centers and local bifurcations of critical periods at infinity for a class of rational systems ⋮ Small amplitude limit cycles and local bifurcation of critical periods for a quartic Kolmogorov system ⋮ Qualitative Analysis of the Minimal Higgins Model of Glycolysis ⋮ Bifurcation of local critical periods in the generalized Loud's system ⋮ Local bifurcations of critical periods for quartic Liénard equations with quintic damping ⋮ Cyclicity of some analytic maps ⋮ Local bifurcations of critical periods for cubic Liénard equations with cubic damping ⋮ Non-isochronicity of the center at the origin in polynomial Hamiltonian systems with even degree nonlinearities ⋮ Investigation of center manifolds of three-dimensional systems using computer algebra ⋮ Weak Bi-Center and Critical Period Bifurcations of a Z2-Equivariant Quintic System ⋮ Critical Period Bifurcation by Perturbing a Reversible Rigidly Isochronous Center with Multiple Parameters
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