The significant advances in nonlinear stochastic dynamics and control in Hamiltonian
formulation during the past decade are reviewed. The exact stationary solutions and …

Hermite moment models of nonlinear random vibration are formulated. These models use
response moments (skewness, kurtosis, etc.) to form non-Gaussian contributions, made …

The stochastic response analysis and first-passage reliability evaluation of multi-
dimensional nonlinear systems subjected to non-white-noise engineering dynamic …

'Et moi,..~ si lavait su CO. llUlJalt en revc: nir, One acMcc matbcmatica bu JaIdcred the
human rac: c. It bu put COIDIDOD _ beet je n'y serais point aBe.'Jules Verne wbac it bdoup …

A number of recent empirical studies cast some doubt on the random walk theory of asset
prices and suggest these display significant transitory components and complex chaotic …

This review article deals with the random excitation of nonlinear strings and suspended
cables in air and fluid flow. For strings and 1D cables, the system dynamics is governed by …

This is an analysis of multidimensional nonlinear dissipative Hamiltonian dynamical systems
subjected to parametric and external stochastic excitations by the Fokker-Planck equation …

This paper aims to investigate Gaussian colored-noise-induced stochastic bifurcations and
the dynamical influence of correlation time and noise intensity in a bistable Duffing–Van der …

This paper deals with the dynamics of standing and rotating azimuthal thermoacoustic
modes in annular combustion chambers. Simultaneous acoustic measurements have been …

It is shown in this paper that any nonlinear systems dot x (t)= f (x (t), t) in R d can be
stabilized by Brownian motion provided| ƒ (x, t)|≤ K| x| for some K> 0. On the other hand …