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

In this paper, asymptotic and numerical methods are used to study the phenomenon of
stochastic Hopf bifurcation. The analysis is carried out through the study of a noisy Duffing …

Fifteen years have elapsed after the second edition of Practical Bifurcation and Stability
Analysis was published. During that time period the? eld of computational bifurcation has …

Bifurcations can cause dynamical systems with slowly varying parameters to transition to far-
away attractors. The terms “critical transition” or “tipping point” have been used to describe …

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 …

We investigate the influence of additive Gaussian white noise on two different bistable self-
sustained oscillators: Duffing–Van der Pol oscillator with hard excitation and a model of a …

Although, bifurcation theory of equations with autonomous and periodic time dependence is
a major object of research in the study of dynamical systems since decades, the notion of a …

This paper presents a numerical study of the bifurcation behavior of the noisy Duffing-van
der Pol oscillator% MathType! MTEF! 2! 1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzL …

A hybrid energy harvester combining piezoelectric and electromagnetic transduction
mechanisms is presented, which can be extensively applied in harvest vibration energy …

Rough energy landscape and noisy environment are two common features in many
subjects, such as protein folding. Due to the wide findings of bursting or spiking …