Critical number in scattering and escaping problems in classical mechanics
- 24 September 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 64 (4), 046216
- https://doi.org/10.1103/physreve.64.046216
Abstract
Scattering and escaping problems for Hamiltonian systems with two degrees of freedom of the type kinetic plus potential energy arise in many applications. Under some discrete symmetry assumptions, it is shown that important quantities in these problems are determined by a relation between two canonical invariant numbers that can be explicitly computed.Keywords
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