Stochastic analysis of model reaction system : The occurrence of noise induced transitions
โ Scribed by N.S. Dabke; B.D. Kulkarni; L.K. Doraiswamy
- Book ID
- 103006366
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 676 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0009-2509
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โฆ Synopsis
This simple model system illustrates the possibility of noise-induced transitions from monostable and bistable states to oscillatory state.
๐ SIMILAR VOLUMES
We consider fast numerical methods for computing the response of stochastic systems. The stochastic discretization is performed via a Karhunen-Loรฉve and Wiener's polynomial chaos expansion. In truncating this expansion and using a Galerkin projection, a finite dimensional system of equations remains
The Roesser state-space model for multidimensional systems, when Gaussian noise is added in their input and in their output, is considered in this work. The mean value and the covariance of the state-space vector as well as of the scalar output are evaluated.