Arnold Diffusion in Nearly Integrable Hamiltonian Systems and the Geometry of Normally Hyperbolic Invariant Manifolds
Abstract
We establish the existence of drifting orbits in a priori unstable Hamiltonian systems using the scattering map formalism on normally hyperbolic invariant manifolds. The analysis relies on the transversality of heteroclinic intersections and the geometric properties of the Melnikov potential in high-dimensional phase space.
Fields of Study & Subjects
Quantum chaos and dynamical systems
Spectral Theory in Mathematical Physics
Geometry and complex manifolds
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 4 January 2026