In this paper, the stochastic bifurcations and the performance analysis of a strongly
nonlinear tri-stable energy harvesting system with colored noise are investigated. Using the …

A nonlinear energy sink (NES) passively reduces transient vibration energy of a typically
impact loaded mechanical system. It is locally connected to the vibrating system through a …

The stochastic bifurcations in a vibro-impact Duffing–Van der Pol oscillator, subjected to
white noise excitations, are investigated. Bifurcations in noisy systems occur either due to …

We study a Wick-type stochastic reaction Duffing equation, and obtain some new exact
solutions with the help of the white-noise theory and the exact solution of the Riccati …

This study carried out investigations on the bifurcation characteristics of a Duffing–Van der
Pol (DVDP) oscillator subjected to white noise excitations. Dynamical (or D-) bifurcations are …

Chaos control may have a dual function: to suppress chaos or to generate it. We are
interested in a kind of chaos control by exerting a weak harmonic excitation with random …

Out-of-time-ordered correlators (OTOCs) have been extensively used as a major tool for
exploring quantum chaos, and recently there has been a classical analog. Studies have …

The effect of random phase for a complex Duffing's system is investigated. We show as the
intensity of random noise properly increases the chaotic dynamical behavior will be …

基于线性随机系统Khasminskii 球面坐标变换, 计算了谐和激励中含有随机相位的Duffing
方程的最大Lyapunov 指数. 依据平均最大Lyapunov 指数符号的变化, 分析随机相位对非线性 …

研究了具有同宿轨道, 异宿轨道的双势阱Duffing 振子在谐和激励与有界噪声摄动下的混沌运动.
基于同宿分叉和异宿分叉, 由Melnikov 理论推导了系统出现混沌运动的必要条件及出现分形 …