Global Phase Portraits of ℤ2-Symmetric Planar Polynomial Hamiltonian Systems of Degree Three with a Nilpotent Saddle at the Origin
DOI10.1142/S0218127420500066zbMath1436.34025OpenAlexW3006289102MaRDI QIDQ5220439
Montserrat Corbera, Claudia Valls
Publication date: 23 March 2020
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127420500066
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)
Cites Work
- \(Z_{2}\)-equivariant cubic system which yields 13 limit cycles
- Global bifurcations in a perturbed cubic system with \(Z_ 2\)-symmetry
- On polynomial Hamiltonian planar vector fields
- Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers
- 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
- A SURVEY ON THE BLOW UP TECHNIQUE
- Global Phase Portraits for the Abel Quadratic Polynomial Differential Equations of the Second Kind With Z2-symmetries
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