scientific article; zbMATH DE number 5059802

zbMATH Open1112.34315MaRDI QIDQ5490339

Yan Song

Publication date: 4 October 2006

Title of this publication is not available (Why is that?)

zbMATH Keywords

limit cyclepolynomial dynamical systemplanar Hamiltonian systemPoincaré bifurcationperiodic regioncubic perturbation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (6)

Classification of global phase portraits and bifurcation diagrams of Hamiltonian systems with rational potential ⋮ On Hopf bifurcations of piecewise planar Hamiltonian systems ⋮ Bifurcations of planar Hamiltonian systems with impulsive perturbation ⋮ Global bifurcations in a disturbed Hamiltonian vector field approaching a 3:1 resonant Poincaré map. I ⋮ The Poincaré-Birkhoff theorem for a class of degenerate planar Hamiltonian systems ⋮ A Chebyshev criterion for Abelian integrals

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