Low frequency amplitude-modulated excitation is a recently reported excitation that can
induce relaxation oscillations and prolongs the system's slow processes. This investigation …

An immediate analytic solution for the time-delayed fractional linear jerk oscillator is derived
in the present study. The currently used method adheres to basic, easily implementable …

The regular and chaotic vibrations of a nonlinear structure subjected to self-, parametric, and
external excitations acting simultaneously are analysed in this study. Moreover, a time delay …

Nonlinear dynamics of a rotating flexible slender beam with embedded active elements is
studied in the paper. Mathematical model of the structure considers possible moderate …

The impetus for the current investigation relates to the implementation of an efficient novel
technique to obtain a time-delayed vibration control analytical solution. The current …

This study proposes a novel small defect detection approach for steel pipes using the
Lyapunov dimension (D) of the Duffing chaotic system based on ultrasonic guided waves. In …

The delayed Duffing equation, x ″+ ɛ x′+ x+ x 3+ cx (t− τ)= 0, admits a Hopf bifurcation
which becomes singular in the limit ɛ→ 0 and τ= O (ɛ)→ 0. To resolve this singularity, we …

This paper focuses on periodic solutions for a one-degree-of-freedom oscillator with a spring
made of shape memory alloy (SMA). However, when periodic solutions are unstable …

This paper studies quasiperiodic vibration-based energy harvesting in a forced nonlinear
harvester device in which time delay is inherently present. The harvester consists of a …

The aim of this paper was to study the nonlinear vibrations of a parametric excited Duffing
oscillator with time delay feedback. At some values of the time delay can be used to …