Linear type centers of polynomial Hamiltonian systems with nonlinearities of degree 4 symmetric with respect to the \(\mathrm{y}\)-axis

DOI10.3934/DCDSB.2018047zbMath1440.34031OpenAlexW2780108583MaRDI QIDQ1671064

Y. Paulina Martínez, Jaume Llibre, Claudio Vidal

Publication date: 6 September 2018

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2018047

zbMATH Keywords

Hamiltonian systemsphase portraitspolynomial vector fieldsquartic polynomiallinear type centers

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51)

Related Items (4)

Limit Cycles of a Perturbation of a Polynomial Hamiltonian Systems of Degree 4 Symmetric with Respect to the Origin ⋮ Global phase portraits and bifurcation diagrams for Hamiltonian systems of linear plus quartic homogeneous polynomials symmetric with respect to the \(y\)-axis ⋮ Global phase portraits and bifurcation diagrams for reversible equivariant Hamiltonian systems of linear plus quartic homogeneous polynomials ⋮ On the number of limit cycles of a quartic polynomial system

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