Morse index and deformations of Hamiltonian systems (Q761683)
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: Morse index and deformations of Hamiltonian systems |
scientific article; zbMATH DE number 3888574
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Morse index and deformations of Hamiltonian systems |
scientific article; zbMATH DE number 3888574 |
Statements
Morse index and deformations of Hamiltonian systems (English)
0 references
1984
0 references
The author considers the periodic problem of the variational calculus and proves the theorem: The Morse index of a hyperbolic extremal \(x_ 0\in H^ 1(S,M^ n)\) equals the doubled number of the instability domain to which the corresponding system of Jacobi equations belongs.
0 references
periodic problem
0 references
variational calculus
0 references
instability domain
0 references
Jacobi equations
0 references
