@Article{JNMA-5-471,
author = {Zhou , Liangke and Zeng , Caibin},
title = {Dynamics of a Degenerately Damped Stochastic Lorenz-Stenflo System},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2023},
volume = {5},
number = {3},
pages = {471--493},
abstract = {<p style="text-align: justify;">It seems that little has been known about the sensitivity of steady
states in stochastic systems. This paper proves the conditions for the existence
of an invariant measure in a degenerately damped stochastic Lorenz-Stenflo
model. Precisely, the solution is proved to be a nice diffusion via the Lie
bracket technique and non-trivial Lyapunov functions. The finiteness of the
expected positive recurrence time entails the existence problem. On the other
hand, a cut-off function is constructed to show the non-existence result through
a proof by contradiction. For other interesting cases, the expected recurrence
time is shown to be infinite.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2023.471},
url = {http://global-sci.org/intro/article_detail/jnma/21947.html}
}