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 …

This paper presents analytical studies of the stochastic differential equation with Mathieu-
Duffing oscillator under velocity feedback control with a time delay. We derive the analytic …

This investigation is concerned with the dynamic response, stability, and bifurcation
behavior of nonlinear dynamical systems under stochastic excitation. The excitation may be …

A new stochastic averaging procedure for single-degree-of-freedom strongly non-linear
oscillators with lightly linear and (or) non-linear dampings subject to weakly external and (or) …

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

The current intact stability criteria for ships do not account for their dynamic behaviour in
irregular waves sufficiently. We provide analytical criteria for ship and sea state parameters …

In this manuscript, a hybrid energy harvesting system combining piezoelectric and
electromagnetic transduction and subjected to colored noise is investigated. By using the …

This book is devoted to the theory of topological dynamics of random dynamical systems.
The theory of random dynamical systems is a relatively new and fast expanding field of …

A Hilbert transform based definition of the response amplitude of randomly excited nonlinear
oscillators has been proposed recently to address certain limitations associated with the …