The time evolution of dynamical systems with random initial conditions is considered, by deriving the n th order probability density of the stochastic process which describes the response of the system, and the entropy function related to the said distibution. A constructive theorem is proved, which
On the continuous approximation of the probability density and of the entropy functions for nonlinear stochastic dynamical systems
β Scribed by I. Bonzani; M.G. Zavattaro; N. Bellomo
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 595 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0378-4754
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β¦ Synopsis
This paper deals with the problem of the continuous approximation of the probability density and of the entropy function of a large class of nonlinear stochastic systems with random initial conditions and parameters. The proposed method generalizes to the stochastic case a continuous approximation method proposed for deterministic nonlinear systems and provides an accurate quasi-analytic approximation continuous in time and in the state space.
π SIMILAR VOLUMES
We prove the uniqueness of the stochastic dynamics associated with Gibbs measures on inlinite products of compact Riemannian manifolds. 1995 Academic Press, Inc.