Year: 2023
Author: Diandian Tang, Jingli Ren
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 3 : pp. 456–470
Abstract
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' spaces, including the stability, stochastic bifurcation and stationary solution. Besides, numerical simulations are given to show the asymptotic behavior of the stationary solution.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2023.456
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 3 : pp. 456–470
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Jerky equation stochastic stability stochastic bifurcation stationary solution.