On the global nilpotent centers of cubic polynomial Hamiltonian systems
DOI10.1007/s12591-022-00606-xMaRDI QIDQ6624964
Jaume Llibre, Claudia Valls, Luis Barreira
Publication date: 28 October 2024
Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)
centerHamiltonian systemglobal centercubic polynomial differential systemsymmetry with respect to the \(y\)-axis
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)
Cites Work
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- \(Z_{2}\)-equivariant cubic system which yields 13 limit cycles
- Algebraic and topological classification of the homogeneous cubic vector fields in the plane
- Limit cycles bifurcating from the period annulus of quasi-homogeneous centers
- Global bifurcations in a perturbed cubic system with \(Z_ 2\)-symmetry
- Détermination et intégration d'une certaine classe d'équations différentielles ayant pour point singulier un centre.
- Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers
- Centers for generalized quintic polynomial differential systems
- Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields
- On limit cycles of the Liénard equation with \(Z_2\) symmetry
- Qualitative theory of planar differential systems
- Linear type global centers of linear systems with cubic homogeneous nonlinearities
- Nilpotent Global Centers of Linear Systems with Cubic Homogeneous Nonlinearities
- Global Phase Portraits for the Abel Quadratic Polynomial Differential Equations of the Second Kind With Z2-symmetries
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