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https://doi.org/10.2139/ssrn.4634982

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Dimensional Analysis for Engineers
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Stochastic Stability of Differential Equations
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The Pi theorem of dimensional analysis
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Asymptotic Lyapunov stability with probability one of Duffing oscillator subject to time-delayed feedback control and bounded noise excitation
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Asymptotic Analysis of First Passage Time Problems Inspired by Ecology
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A survey of stability of stochastic systems
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Random Vibration in Mechanical Systems
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First-passage problem of strongly nonlinear stochastic oscillators with external and internal resonances
inferredcites →https://doi.org/10.1016/j.ijnonlinmec.2022.104268openalex-extracted
Data-driven method for identifying the expression of the Lyapunov exponent from random data
inferredcites →https://doi.org/10.1016/j.jcp.2012.06.037openalex-extracted
Efficient gradient estimation using finite differencing and likelihood ratios for kinetic Monte Carlo simulations
inferredcites →https://doi.org/10.1016/j.jcp.2022.111145openalex-extracted
Artificial neural network based response surface for data-driven dimensional analysis
inferredcites →https://doi.org/10.1016/j.probengmech.2023.103467openalex-extracted
Data-driven identification for approximate analytical solution of first-passage problem
inferredcites →https://doi.org/10.1016/j.ymssp.2018.09.015openalex-extracted
Dynamical reliability of internally resonant or non-resonant strongly nonlinear system under random excitations
inferredcites →https://doi.org/10.1016/j.ymssp.2022.109720openalex-extracted
A Gaussian process regression reduced order model for geometrically nonlinear structures
inferredcites →https://doi.org/10.1016/j.ymssp.2022.109775openalex-extracted
First-passage probability estimation of high-dimensional nonlinear stochastic dynamic systems by a fractional moments-based mixture distribution approach
inferredcites →https://doi.org/10.1016/j.ymssp.2023.110516openalex-extracted
An efficient time-variant reliability analysis strategy embedding the NARX neural network of response characteristics prediction into probability density evolution method
inferredcites →https://doi.org/10.1016/s0010-4655(00)00055-2openalex-extracted
Numerical computation of Lyapunov exponents in discontinuous maps implicitly defined
inferredcites →https://doi.org/10.1016/s0167-2789(97)80004-8openalex-extracted
Analysis of positive Lyapunov exponents from random time series
inferredcites →https://doi.org/10.1023/b:nody.0000045517.37421.c9openalex-extracted
Feedback Stabilization of Quasi Nonintegrable Hamiltonian Systems by Using Lyapunov Exponent
inferredcites →https://doi.org/10.1115/1.3423521openalex-extracted
On the Distribution of the First-Passage Time for Normal Stationary Random Processes
inferredcites →https://doi.org/10.1137/0127049openalex-extracted
Sample Stability of Second Order Linear Differential Equations with Wide Band Noise Coefficients
inferredcites →https://doi.org/10.1137/1112019openalex-extracted
Necessary and Sufficient Conditions for the Asymptotic Stability of Linear Stochastic Systems
inferredcites →https://doi.org/10.1137/s0036139992227710openalex-extracted
Approximation of Lyapunov Exponents of Nonlinear Stochastic Differential Equations
inferredcites →https://doi.org/10.1142/6524openalex-extracted
Dimensional Analysis and Intelligent Experimentation
inferredcites →https://doi.org/10.1239/jap/1316796908openalex-extracted
Efficient Estimation of One-Dimensional Diffusion First Passage Time Densities via Monte Carlo Simulation
inferredcites →https://doi.org/10.1504/ijrs.2010.032442openalex-extracted
Spherical subset simulation (S³) for solving non-linear dynamical reliability problems
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