Existence of exponentially unstable periodic solutions and the non- integrability of homogeneous Hamiltonian systems (Q1080248)
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: Existence of exponentially unstable periodic solutions and the non- integrability of homogeneous Hamiltonian systems |
scientific article; zbMATH DE number 3967517
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of exponentially unstable periodic solutions and the non- integrability of homogeneous Hamiltonian systems |
scientific article; zbMATH DE number 3967517 |
Statements
Existence of exponentially unstable periodic solutions and the non- integrability of homogeneous Hamiltonian systems (English)
0 references
1986
0 references
In Hamiltonian systems with polynomial potential of homogeneous degree, characteristic multipliers (Floquet multipliers) permit an explicit expression for straight-line periodic solutions. By use of Ziglin's theorem, it is shown that the existence of an exponentially unstable straight-line periodic solution implies the non-integrability of the system.
0 references
Hamiltonian systems with polynomial potential
0 references
Floquet multipliers
0 references
straight-line periodic solutions
0 references
Ziglin's theorem
0 references
0 references
