The actions of wind and wave have a great influence on the ship rolling motion, which may
cause chaotic situation even capsizing. Stochastic bifurcation and chaos for a class of ships …

This paper aims to investigate dynamic responses of stochastic Duffing oscillator with
fractional-order damping term, where random excitation is modeled as a harmonic function …

In this paper, the synchronization of two fractional-order complex chaotic systems with
unknown parameters and external disturbances are studied. Based on the Lyapunov …

The Melnikov method is extended to a class of hybrid piecewise-smooth systems with
impulsive effect and noise excitation when an unperturbed system is a piecewise …

The chaotic behavior of the piezoelectric vibration energy harvester (VEH) system with
fractional order physical properties under randomly disordered periodic excitations is …

Chaotic oscillation in a power system is considered the main cause of power blackouts in
large-scale interconnected power grids. The chaotic oscillation mechanisms and the control …

In the present study, the influence of noise on the responses of continuous-time dynamical
systems are considered. In particular, the influence of white Gaussian noise on the …

In this paper, we extend the random Melnikov method from stochastic systems with a
continuous vector field to discontinuous systems driven by a random disordered periodic …

Purpose In this paper, the diffusion and persistence of synchronous full annular rub in a
rotor/stator system under weak random disturbances are studied. Methods and Results First …

We study how random parameter (namely, noise-perturbed parameter) effects the dynamical
behaviors of power systems using random Melnikov technique and numerical simulation …