Global geometric indicator of chaos and Lyapunov exponents in Hamiltonian systems
β Scribed by Ramasubramanian, K.; Sriram, M.
- Book ID
- 115453630
- Publisher
- The American Physical Society
- Year
- 2001
- Tongue
- English
- Weight
- 91 KB
- Volume
- 64
- Category
- Article
- ISSN
- 1063-651X
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π SIMILAR VOLUMES
## Abstract We consider linear Hamiltonian differential systems in __R__^2__n__^ depending on a stationary ergodic Markov process. The induced processes on the Lagrangian manifolds __L~p~__ and L~p~β1, __p__ (1 β¦ __p__ β¦ __n__) are studied. From this we derive representations for the Lyapunov expon
## Abstract In the paper there are considered linear Hamiltonian systems in R^2n^ which include a small additive random term depending on a stationary ergodic Markov process. Under some regularity assumptions we derive asymptotic expansions for certain Lyapunov exponents of the systems (or for sums