The homotopy perturbation method (HPM) was proposed by Ji-Huan. He was a rising star in
analytical methods, and all traditional analytical methods had abdicated their crowns. It is …

In the present study, some perturbation methods are applied to Duffing equations having a
displacement time-delayed variable to study the stability of such systems. Two approaches …

This paper is concerned with a time-delayed controller of a damped nonlinear excited
Duffing oscillator (DO). Since time-delayed techniques have recently been the focus of …

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 the primary resonance of the time delayed Duffing oscillator solved by
means of the multiple scales method. The second order approximation is used because the …

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 …

This paper presents a study of the effect of a time-delayed feedback controller on the
dynamics of a Microelectromechanical systems (MEMS) capacitor actuated as a resonator …

Combined effects of the damping and forcing in the underdamped time-delayed Duffing
oscillator are considered in this paper. We analyse the generation of a certain damping …

We explore stability and instability of rapidly oscillating solutions x (t) for the hard spring
delayed Duffing oscillator x ″(t)+ ax (t)+ bx (t− T)+ x 3 (t)= 0. Fix T> 0. We target periodic …

The effect of a delay feedback control (DFC), realized by displacement in the Duffing
oscillator, for parameters which generate strange chaotic Ueda attractor is investigated in …