Infinite number of homoclinic orbits to hyperbolic invariant tori of Hamiltonian systems (Q5938495)
From MaRDI portal
scientific article; zbMATH DE number 1622467
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Infinite number of homoclinic orbits to hyperbolic invariant tori of Hamiltonian systems |
scientific article; zbMATH DE number 1622467 |
Statements
Infinite number of homoclinic orbits to hyperbolic invariant tori of Hamiltonian systems (English)
0 references
22 July 2001
0 references
For a Hamiltonian system whose Hamilton function is convex and superlinear in momenta, the author proves that there are infinitely many orbits homoclinic to an invariant hyperbolic torus of this system, providing that this torus is minimal in the sense of Aubry-Mather theory.
0 references
Hamiltonian system
0 references
invariant hyperbolic torus
0 references
homoclinic orbit
0 references
minimal torus
0 references
Aubry-Mather theory
0 references
