基于路径积分法的输液管道随机动态响应分析

孙诣博, 魏莎, 丁虎, 陈立群 - 力学学报, 2023 - lxxb.cstam.org.cn
随机激励下的输液管道在工程上广泛存在, 对其进行研究具有十分重要的意义.
为了预测高斯白噪声激励下输液管道系统的随机动态响应, 基于哈密顿原理建立了高斯白噪声 …

Impact of white noise in artificial neural networks trained for classification: Performance and noise mitigation strategies

N Semenova, D Brunner - Chaos: An Interdisciplinary Journal of …, 2024 - pubs.aip.org
In recent years, the hardware implementation of neural networks, leveraging physical
coupling and analog neurons has substantially increased in relevance. Such nonlinear and …

[PDF][PDF] Stochastic dynamic response analysis of pipe conveying fluid based on the path integral method

S Yibo, W Sha, D Hu, C Liqun - Chinese Journal of Theoretical …, 2023 - lxxb.cstam.org.cn
The study of pipes conveying fluid under stochastic excitation is of great importance as they
are widely used in engineering. To predict the stochastic dynamic response of pipe …

Investigation on optimization-oriented EPC method in analyzing the non-linear oscillations under multiple excitations

GP Bai, ZX Ren, GK Er, VP Iu - International Journal of Non-Linear …, 2024 - Elsevier
The optimization-oriented exponential-polynomial-closure (OEPC) method is extended and
investigated to analyze stochastic nonlinear oscillators under multiple excitations, with the …

Parameter identification of dynamical systems based on short-term prediction by the generalized cell mapping method with deep learning

X Yue, X Jing, X Liu, Y Li, Y Xu - Nonlinear Dynamics, 2024 - Springer
Dynamic analysis based on observed data has emerged as a prominent research focus due
to the challenges associated with obtaining mathematical models that rely on strong …

System identification based on sparse approximation of Koopman operator

T Lu, J Feng, J Su, Y Han, Q Guo - The European Physical Journal Special …, 2024 - Springer
A data-driven system identification method based on the Koopman operator with sparse
optimization is proposed. Koopman theory provides insights into transforming nonlinear …

A data-driven method to identify the probability density expression of nonlinear system under Gaussian white noise and harmonic excitations

C Wang, X Jin, Z Huang - The European Physical Journal Special Topics, 2024 - Springer
In view of the lack of an explicit expression for the stationary response probability density of
generalized nonlinear systems subjected to combined harmonic and Gaussian white noise …

[HTML][HTML] Pattern-Moving-Modelling and Analysis Based on Clustered Generalized Cell Mapping for a Class of Complex Systems

N Li, Z Xu, X Li - Processes, 2024 - mdpi.com
Considering a class of complex nonlinear systems whose dynamics are mostly governed by
statistical regulations, the pattern-moving theory was developed to characterise such …