Abstract
We provide normal forms and the global phase portraits in the Poincaré disk for all Hamiltonian nilpotent centers of linear plus cubic homogeneous planar polynomial vector fields. © 2014 Elsevier Inc.
Original language | English |
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Pages (from-to) | 655-687 |
Journal | Advances in Mathematics |
Volume | 259 |
DOIs | |
Publication status | Published - 10 Jul 2014 |
Keywords
- Cubic polynomial
- Hamiltonian nilpotent center
- Phase portrait
- Vector fields