The Stochastic Hopf Bifurcation and Vibrational Response of a Double Pendulum System Under Delayed Feedback Control

The Stochastic Hopf Bifurcation and Vibrational Response of a Double Pendulum System Under Delayed Feedback Control

In this paper, we investigate the nonlinear dynamic behavior of a cart–double pendulum system with single time delay feedback control. Based on the center manifold theorem and stochastic averaging method, a reduced-order dynamic model of the system is established, with a focus on analyzing the influ...

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Bibliographic Details
Main Authors: Ruichen Qi, Shaoyi Chen, Caiyun Huang, Qiubao Wang
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Mathematics
Subjects:
Hopf bifurcation
time delay
center manifold
double pendulum system
Online Access:https://www.mdpi.com/2227-7390/13/13/2161
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