An improved estimate for the number of zeros of Abelian integrals for cubic Hamiltonians
Author:
Publisher
IOP Publishing
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
Reference32 articles.
1. Loss of stability of self-oscillations close to resonance and versal deformations of equivariant vector fields
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1. Limit cycles near a homoclinic loop connecting a tangent saddle in a perturbed quadratic Hamiltonian system;Communications in Nonlinear Science and Numerical Simulation;2023-06
2. On the Number of Zeros of Abelian Integral for a Class of Cubic Hamilton Systems with the Phase Portrait “Butterfly”;Qualitative Theory of Dynamical Systems;2019-03-28
3. On the number of zeros of Abelian integral for a class of cubic Hamiltonian systems;Dynamical Systems;2019-03-01
4. On the Algebraic Structure and the Number of Zeros of Abelian Integral for a Class of Hamiltonians with Degenerate Singularities;Bulletin of the Brazilian Mathematical Society, New Series;2018-04-23
5. The cyclicity of period annuli for a class of cubic Hamiltonian systems with nilpotent singular points;Journal of Differential Equations;2017-11
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