Stationary distribution of stochastic nuclear spin generator systems
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Authors
Zaitang Huang
- Yangtze Center of Mathematics and Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, P. R. China.
Abstract
This paper discusses the stochastic nuclear spin generator systems under the in
fluence of white noise.
We prove the existence of a unique solution and a stationary distribution for stochastic nuclear spin generator
systems. We analyze long-time behaviour of random attractor of the distributions of the solutions.
Furthermore, we prove that the random attractor contains of only one point for particular parameters or
can converge weakly to a stationary distribution. Numerical experiments illustrate the results.
Share and Cite
ISRP Style
Zaitang Huang, Stationary distribution of stochastic nuclear spin generator systems, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 9, 5410--5427
AMA Style
Huang Zaitang, Stationary distribution of stochastic nuclear spin generator systems. J. Nonlinear Sci. Appl. (2016); 9(9):5410--5427
Chicago/Turabian Style
Huang, Zaitang. "Stationary distribution of stochastic nuclear spin generator systems." Journal of Nonlinear Sciences and Applications, 9, no. 9 (2016): 5410--5427
Keywords
- Existence of a unique solution
- stationary distribution
- random attractor
- invariant measure
- nuclear spin generator.
MSC
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