Stationary distribution of stochastic nuclear spin generator systems

Zaitang Huang
2016 Journal of Nonlinear Science and its Applications  
This paper discusses the stochastic nuclear spin generator systems under the influence 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
more » ... periments illustrate the results.
doi:10.22436/jnsa.009.09.10 fatcat:emjoogopmzai3pysj3f326p3bm