Almost-sure asymptotic stability of three- and four-dimensional co-dimension two dynamical systems under small intensity stochastic excitations is investigated. The method of stochastic averaging is used to derive a set of approximate ItΓ΄ equations. These equations, along with their sample propertie
Lyapunov exponent and rotation number for stochastic Dirac operators
β Scribed by Fengzhu Sun; Minping Qian
- Publisher
- Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 1992
- Tongue
- English
- Weight
- 741 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0168-9673
No coin nor oath required. For personal study only.
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
dedicated to professor jack hale on the occasion of his 70th birthday A linear system in two dimensions is studied. The coefficients are 2?-periodic in three angles, % j , j=1, 2, 3, and these angles are linear with respect to time, with incommensurable frequencies. The system has positive Lyapunov