scientific article; zbMATH DE number 7244076
zbMath1448.37071MaRDI QIDQ5118115
Claudia Valls, Jaume Llibre, Luis Barreira
Publication date: 7 September 2020
Full work available at URL: https://ejde.math.txstate.edu/Volumes/2020/57/abstr.html#latest
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)
Cites Work
- Algebraic and topological classification of the homogeneous cubic vector fields in the plane
- Limit cycles bifurcating from the period annulus of quasi-homogeneous centers
- Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers
- Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields
- 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
- Unnamed Item
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