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

Authors: Aristide Dingamadji; Philippe Djondiné; Golam Guidkaya; Kriga Adoum

Addresses: Department of Technology, Faculty of Exact and Applied Science, University of N'Djamena, P.O. Box 1027, N'Djamena, Chad ' Department of Physics, Faculty of Science, The University of Ngaoundéré, P.O. Box 454, Ngaoundéré, Cameroon ' Department of Physics, Faculty of Science, The University of Ngaoundéré, P.O. Box 454, Ngaoundéré, Cameroon ' Department of Technology, Faculty of Exact and Applied Science, University of N'Djamena, P.O. Box 1027, N'Djamena, Chad

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.

Keywords: Alpazur oscillator; switching operation; multi-parametric bifurcation; matching energy.

DOI: 10.1504/IJANS.2024.146657

International Journal of Applied Nonlinear Science, 2024 Vol.4 No.4, pp.335 - 359

Received: 11 May 2024
Accepted: 17 Jan 2025
Published online: 11 Jun 2025 *

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