Multi-parametric analysis of chaotic dynamic behaviour of the Alpazur oscillator

Abstract

In this paper, we consider an Alpazur oscillator which consists of a Rayleigh-type oscillator and a DC power supply controlled by a switch that modifies the operating mode. The oscillator denotes some special phenomena in some parameters settings and is called chaos or bifurcation. In addition, we observe the behaviour of this oscillator over a wide range of parameter variation. Chaos theory tools such as, bifurcation, phase portrait, Poincaré section and matching energy (ME) were examined in the analysis of dynamic of the system. Simulations were carried out using the fourth order Runge-Kutta algorithm in MATLAB. The results show that Alpazur oscillator is sensitive to parameter variation and exhibits some wide range dynamics from fundamental periodicity to chaos by passing through sub-harmonic behaviour.