Detection and Reconstruction of Bursting Oscillations in Complex Systems Using the HAVOK Analysis Framework DOI Creative Commons

Xueyi Cai,

Youhua Qian

Algorithms, Journal Year: 2024, Volume and Issue: 17(9), P. 388 - 388

Published: Sept. 2, 2024

Multi-scale dynamical systems may exhibit bursting oscillations, which are typically identified by analyzing time series and phase portraits. However, in cases where oscillations not apparent, relying solely on these methods have limitations accurately detecting their occurrence. This paper introduces the HAVOK analysis framework to field of oscillations. By using single-variable data, models that produce restructured into forced linear models. approach allows for rapid prediction observing terms. The results show intermittent periodic bursts visualizations eigen within strongly correlated with excitation states enabling Especially it is challenging determine presence through plots alone, this method can still sensitively detect them. Additionally, embedded reconstructed flow fields plotted help understand dynamics certain scenarios.

Language: Английский

Complex bursting dynamics in a Rayleigh–Liénard oscillator DOI

Haolan Wang,

Youhua Qian

Nonlinear Dynamics, Journal Year: 2024, Volume and Issue: 112(9), P. 7679 - 7693

Published: March 18, 2024

Language: Английский

Citations

2
Geometric Parameter Effects on Bandgap Characteristics of Periodic Pile Barriers in Passive Vibration Isolation DOI Open Access
Jinglei Liu,

Xiuxin Li,

Jinyuan Cao

et al.

Symmetry, Journal Year: 2024, Volume and Issue: 16(9), P. 1130 - 1130

Published: Sept. 1, 2024

To investigate the impact of geometric parameters periodic pile barriers on bandgap characteristics in passive vibration isolation, a two-dimensional, three-component unit cell was developed using finite element method (FEM). This study analyzed properties and validated effectiveness FEM through model testing. The then methodically applied to evaluate effects pipe thickness, constant, arrangement pattern, cross-sectional shape characteristics, culminating proposition novel H-shaped cross-section for piles. results demonstrated that FEM-calculated frequency range, featuring steel piles arranged square closely aligned with attenuation zone tests. lower band (LBF) primarily influenced by pile’s inner radius, while upper (UBF) predominantly affected its outer radius. As constant increased, LBF, UBF, width gap (WBG) all decreased. Conversely, changing pattern from hexagonal led increases UBF WBG, LBF diminished. Notably, WBG H-section piles, possessing same area, 1.31 times greater than indicating an enhanced isolation performance. Additionally, transverse vertical characteristic dimensions distribution assessed, revealing exerted more significant influence dimensions.

Language: Английский

Citations

2
Quasi-periodic Bursting in a Kind of Duffing–Van der Pol System with Two Excitation Terms DOI

Danjin Zhang,

Youhua Qian

Journal of Vibration Engineering & Technologies, Journal Year: 2024, Volume and Issue: 13(1)

Published: Dec. 30, 2024

Language: Английский

Citations

1
Bursting oscillation and mechanism analysis of a class of Duffing–Van der Pol system with two excitation terms DOI
Youhua Qian,

Danjin Zhang

The European Physical Journal Plus, Journal Year: 2023, Volume and Issue: 138(11)

Published: Nov. 15, 2023

Language: Английский

Citations

3
Bursting Dynamics of the 3-D Hindmarsh-Rose Neuron Model Under Periodic Excitation DOI

Jiayin Dong,

Youhua Qian

Journal of Vibration Engineering & Technologies, Journal Year: 2024, Volume and Issue: unknown

Published: June 24, 2024

Language: Английский

Citations

0
Detection and Reconstruction of Bursting Oscillations in Complex Systems Using the HAVOK Analysis Framework DOI Creative Commons

Xueyi Cai,

Youhua Qian

Algorithms, Journal Year: 2024, Volume and Issue: 17(9), P. 388 - 388

Published: Sept. 2, 2024

Multi-scale dynamical systems may exhibit bursting oscillations, which are typically identified by analyzing time series and phase portraits. However, in cases where oscillations not apparent, relying solely on these methods have limitations accurately detecting their occurrence. This paper introduces the HAVOK analysis framework to field of oscillations. By using single-variable data, models that produce restructured into forced linear models. approach allows for rapid prediction observing terms. The results show intermittent periodic bursts visualizations eigen within strongly correlated with excitation states enabling Especially it is challenging determine presence through plots alone, this method can still sensitively detect them. Additionally, embedded reconstructed flow fields plotted help understand dynamics certain scenarios.

Language: Английский

Citations

0