Generic Hamiltonian dynamical systems are neither integrable nor ergodic
This memoir gives an introduction to Hamiltonian dynamical systems on symplectic manifolds, including definitions of Hamiltonian vector fields, Poisson brackets, integrals of motion, complete integrability, and ergodicity. A particularly complete treatment of action-angle coordinates is given. Historical background into the question of ergodicity and integrability in Hamiltonian systems is also given.
Read More ↓Title Statements
- Full title :Generic Hamiltonian dynamical systems are neither integrable nor ergodic / [by] L. Markus and K.R. Meyer.
Summary
This memoir gives an introduction to Hamiltonian dynamical systems on symplectic manifolds, including definitions of Hamiltonian vector fields, Poisson brackets, integrals of motion, complete integrability, and ergodicity. A particularly complete treatment of action-angle coordinates is given. Historical background into the question of ergodicity and integrability in Hamiltonian systems is also given.
Read More ↓Edition Statements
- Publication Date:©1974.
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, R.I
- Language:eng
- Publication Date:©1974.
The Physical Object
- Description:iv, 52 pages ; : 26 cm
Edition Identifiers
- ISBN:9780821818442, 0821818449
- oclc:ocm00898103
- LC Classification:QA3
- Dewey Decimal:510/.8 s
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