On the accuracy of conservation of adiabatic invariants in slow-fast Hamiltonian systems
β Scribed by Tan Su
- Book ID
- 111469612
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2012
- Tongue
- English
- Weight
- 498 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1560-3547
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π SIMILAR VOLUMES
We study the accuracy of the conservation of adiabatic invariants in a model of n weakly coupled rotators. Most attention is devoted to n = 2 and frequency w = (wl, w2), with w2/o)l quadratic irrational. We apply a heuristic approximation scheme, going back to Jeans and to Landau and Teller, and per
The first few terms of the adiabatic invariant series are calculated for a Hamiltonian of the special form H = +p\* + f h(q, T) dq (T = st, E < 1.) We also look for the conditions under which a recursion relation for the successive terms of this adiabatic invariant series can be constructed, especia