Control of the Lyapunov exponents of dynamical systems in the plane with incomplete observation
β Scribed by Elena Litsyn; Yurii Nepomnyashchikh; Arcady Ponosov
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 259 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
## 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
## Abstract In this paper the asymptotic behaviour of the solutions of __x' = A__(__t__)__x + h__(__t,x__) under the assumptions of instability is studied, __A__(__t__) and __h__(__t,x__) being a square matrix and a vector function, respectively. The conditions for the existence of bounded solution