@Article{JNMA-5-3,
author = {Tang, Diandian and Ren, Jingli},
title = {Dynamical Analysis for a General Jerky Equation with Random Excitation},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2023},
volume = {5},
number = {3},
pages = {456--470},
abstract = {<p style="text-align: justify;">A general jerky equation with random excitation is investigated in
this paper. Before introducing the random excitation term, the equation is reduced to a two-dimensional model when undergoing a Hopf bifurcation. Then
the model with the parametric excitation and external excitation is converted
to a stochastic differential equation with singularity based on the stochastic average theory. For the equation, its dynamical behaviors are analyzed
in different parameters&#39; spaces, including the stability, stochastic bifurcation
and stationary solution. Besides, numerical simulations are given to show the
asymptotic behavior of the stationary solution.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2023.456},
url = {https://global-sci.com/article/87882/dynamical-analysis-for-a-general-jerky-equation-with-random-excitation}
}