To suppress the nonlinearity of an excited Van der Pol–Duffing oscillator (VdPD), time-
delayed position and velocity are used throughout this study. The time delay is supplemental …

In this paper, we propose a new class of micro-electromechanical oscillators. Some
investigations based on Melnikov's approach are applied for identifying some chaotic …

In this paper, a new ϕ 6-Rayleigh–Duffing system with dual potential is examined. Research
is being done on the effect of roughness on forced dynamical systems. To evaluate the …

In this paper, an exciting and interesting transition to chaos in a complex ϕ 8-DVP oscillator
is studied. We first examine the stability conditions for the fixed points and then analyzed the …

In this research work, an autonomous chaotic oscillator is implemented by using differential
voltage current conveyor (DVCC) and few passive components. The schematic of the …

2.1 Main Results. Simulations 33 2.1. 1 A look at the planar generalized Rayleigh system 33
2.1. 2 A look at the new extended oscillator 34 2.1. 3 A look at the more general Duffing …

\begin {equation}\label {EqPol. 1}\frac {{\text d}^ 2 x}{{\text d} t^ 2}-\mu\left (1-x^ 2\right)\frac
{{\text d} x}{{\text d} t}+ x= 0\qquad\mbox {or}\qquad\ddot {x}-\mu\left (1-x^ 2\right)\dot {x}+ x …