Linearizability of planar polynomial Hamiltonian systems (Q2061589)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Linearizability of planar polynomial Hamiltonian systems |
scientific article; zbMATH DE number 7446135
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linearizability of planar polynomial Hamiltonian systems |
scientific article; zbMATH DE number 7446135 |
Statements
Linearizability of planar polynomial Hamiltonian systems (English)
0 references
15 December 2021
0 references
Linearizability of two-dimensional polynomial Hamiltonian systems are revisited in this paper. The authors provide a new computational procedure to obtain linearizability condition. Necessary and sufficient conditions for linearizability of Hamiltonian systems with homogeneous non-linearities of degrees 5, 6 and 7 are obtained and some sufficient conditions for linearizability of systems with nonhomogeneous nonlinearities of degrees 2, 3 and 5 are presented.
0 references
isochronicity
0 references
linearizability
0 references
planar polynomial differential systems
0 references
Hamiltonian systems
0 references
integrability
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
