Probabilistic description of extreme oscillations and reliability analysis in rolling motion under stochastic excitation DOI
Dan Zhao, Yongge Li, Yong Xu

et al.

Science China Technological Sciences, Journal Year: 2023, Volume and Issue: 66(9), P. 2586 - 2596

Published: Aug. 21, 2023

Language: Английский

Deep learning-based state prediction of the Lorenz system with control parameters DOI Open Access
Xiaolong Wang,

Jing Feng,

Yong Xu

et al.

Chaos An Interdisciplinary Journal of Nonlinear Science, Journal Year: 2024, Volume and Issue: 34(3)

Published: March 1, 2024

Nonlinear dynamical systems with control parameters may not be well modeled by shallow neural networks. In this paper, the stable fixed-point solutions, periodic and chaotic solutions of parameter-dependent Lorenz system are learned simultaneously via a very deep network. The proposed learning model consists large number identical linear layers, which provide excellent nonlinear mapping capability. Residual connections applied to ease flow information training dataset is further utilized. Extensive numerical results show that can accurately forecasted for several Lyapunov times long-term predictions achieved solutions. Additionally, characteristics such as bifurcation diagrams largest exponents recovered from Finally, principal factors contributing high prediction accuracy discussed.

Language: Английский

Citations

7
Dynamic responses of a conceptual two-dimensional airfoil in hypersonic flows with random perturbations DOI

Guo Wei-li,

Yong Xu, Yongge Li

et al.

Journal of Fluids and Structures, Journal Year: 2023, Volume and Issue: 121, P. 103920 - 103920

Published: July 5, 2023

Language: Английский

Citations

13
Nonlinear stochastic flutter analysis of a three-degree-of-freedom wing in a two-dimensional flow field under stochastic perturbations DOI
Ying Hao, Chao Ma,

Yuda Hu

et al.

Aerospace Science and Technology, Journal Year: 2023, Volume and Issue: 138, P. 108323 - 108323

Published: April 11, 2023

Language: Английский

Citations

11
A topological framework for identifying phenomenological bifurcations in stochastic dynamical systems DOI
Sunia Tanweer, Firas A. Khasawneh, Elizabeth Munch

et al.

Nonlinear Dynamics, Journal Year: 2024, Volume and Issue: 112(6), P. 4687 - 4703

Published: Feb. 2, 2024

Language: Английский

Citations

4
Ground-induced suppression of chaos in the self-excited flow behind a plunging airfoil DOI Open Access

Richard C. C. Chung,

Yu Guan, Wei He

et al.

Physics of Fluids, Journal Year: 2024, Volume and Issue: 36(3)

Published: March 1, 2024

We numerically investigate the forced synchronization of self-excited flow behind a plunging airfoil in ground effect at Reynolds number Re = 1000. On varying amplitude and frequency, we find rich array nonlinear dynamics, such as period-1 limit cycle due to natural vortex shedding well two-frequency quasiperiodicity on torus attractor (T2). For certain non-resonant frequencies without surface, that low-dimensional chaos emerges via Ruelle–Takens–Newhouse route. However, can be suppressed by introducing inducing direct transition from T2 1:1 phase locking rises over boundaries Arnold tongue. Apart suppressing chaos, surface also causes lift drag coefficients become less sensitive motion itself. Knowledge critical conditions required for could useful various engineering applications, design pico air vehicles.

Language: Английский

Citations

4
Extreme events suppression in a suspended aircraft seat system under extreme environment DOI
Dan Zhao, Yongge Li, Qi Liu

et al.

Communications in Nonlinear Science and Numerical Simulation, Journal Year: 2025, Volume and Issue: 145, P. 108707 - 108707

Published: Feb. 27, 2025

Citations

0
Data-based nonlinear and stochastic dynamics DOI Creative Commons
Yong Xu,

Jürgen Kurths,

Yongge Li

et al.

The European Physical Journal Special Topics, Journal Year: 2025, Volume and Issue: unknown

Published: March 11, 2025

Language: Английский

Citations

0
Tipping of thermoacoustic systems with secondary bifurcation in colored noise environments: Effects of rate DOI

Xiaoyu Zhang,

Yong Xu, Qi Liu

et al.

Chaos An Interdisciplinary Journal of Nonlinear Science, Journal Year: 2025, Volume and Issue: 35(3)

Published: March 1, 2025

Rate-dependent tipping that concerns the effects of rate parameter change on sudden transitions has been revealed in thermoacoustic systems. However, conventional models cannot accurately portray intermittent oscillations observed experiments. This study explores behaviors a system with secondary bifurcation, simultaneously accounting for coupling and colored noise. Particularly, model contains higher-order nonlinearities, which lead to emergence both supercritical subcritical bifurcations. It can qualitatively reproduce dynamics system. We perform transient analysis via stochastic averaging method explore influence mechanisms noise phenomenon. The results show exhibits phenomenon from desired state instability through intermittency. Interestingly, causes delay tipping, while its increase enlarges amplitude oscillations. In addition, changes an abrupt smooth large intensities.

Language: Английский

Citations

0
Nonlinear vibration of series-parallel fluid-conveying spatial-pipe systems with constrained-layer damping DOI
Hongwei Ma,

Wenhao Ji,

Hui Zhang

et al.

International Journal of Mechanical Sciences, Journal Year: 2025, Volume and Issue: unknown, P. 110334 - 110334

Published: May 1, 2025

Language: Английский

Citations

0
Neural network-based parameter estimation of stochastic differential equations driven by Lévy noise DOI
Xiaolong Wang, Jing Feng, Qi Liu

et al.

Physica A Statistical Mechanics and its Applications, Journal Year: 2022, Volume and Issue: 606, P. 128146 - 128146

Published: Sept. 5, 2022

Language: Английский

Citations

17