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

The limit cycles of nonlinear systems under the small stochastic disturbances are
considered. The random trajectories of forced system leave the deterministic cycle and form …

The reliability analysis of high-dimensional stochastic dynamical systems subjected to
random excitations has long been one of the major challenges in civil and various …

We study the stochastic dynamics of a Hodgkin-Huxley neuron model in a regime of
coexistent stable equilibrium and a limit cycle. In this regime, noise may suppress periodic …

A numerical path integral approach is developed for determining the response and first-
passage probability density functions (PDFs) of the softening Duffing oscillator under …

Exit events induced by noise from the attracting domain containing a stable fixed point are
ubiquitous phenomena in physical systems, wherein mean exit time is an important quantity …

An analysis of the classical Hopf differential system perturbed by multiplicative and additive
noises is carried out. An explicit representation for the stationary probability density function …

Active brake control systems are able to use more accurate control designs on the real-time
knowledge of wheel slip such as tire braking forces and external momentums. A multi …

This paper is devoted to study the problem of controlling chaos for forced nonlinear dynamic
systems. We suggest a new control technique based on sensitivity analysis. With the help of …

An approximate analytical approach for determining the first-passage probability of the
response of a class of lightly damped nonlinear oscillators to broadband random excitations …