Random Bifurcation of Time-Delay Suspension Systems Under Gaussian White Noise Excitation

LAN Pan; WEI Zhouchao

doi:10.21656/1000-0887.450343

Volume 46 Issue 12

Dec. 2025

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Article Navigation > Applied Mathematics and Mechanics > 2025 > 46(12): 1527-1539

LAN Pan, WEI Zhouchao. Random Bifurcation of Time-Delay Suspension Systems Under Gaussian White Noise Excitation[J]. Applied Mathematics and Mechanics, 2025, 46(12): 1527-1539. doi: 10.21656/1000-0887.450343

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Random Bifurcation of Time-Delay Suspension Systems Under Gaussian White Noise Excitation

doi: 10.21656/1000-0887.450343

LAN Pan^1,2,
WEI Zhouchao^{1,2
,
,}

1. State Key Laboratory of Rail Transit Vehicle System, Southwest Jiaotong University, Chengdu 610031, P.R.China;
2. School of Mathematics and Physics, China University of Geosciences (Wuhan), Wuhan 430074, P.R.China

Funds:

The National Science Foundation of China(12172340

12411530068)

Received Date: 2024-12-30
Rev Recd Date: 2025-04-22

Available Online: 2025-12-31

Abstract

Abstract

The suspension system under random excitation and time-delay feedback control was investigated. Firstly, the conditions for the Hopf bifurcation of the system were analyzed. Secondly, the center manifold theory and the maximum Lyapunov exponent were used to study the local stability and stochastic D-bifurcation conditions for the system. Then the global stability was further explored with the singular boundary theory. Numerical simulations reveal the effects of noise intensities and time-delay feedback coefficients on the system dynamics, thereby verifying the theoretical results.
- suspension system,
- Gauss noise excitation,
- timedelay feedback control,
- stochastic bifurcation,
- stochastic average method

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References(35)

References

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