Bifurcation Analysis of Chaotic Attractors in an Interrupted Circuit with Thermoelectric Characteristics

Abstract

This paper analyzes the bifurcation phenomena related to chaotic attractors in an interrupted electric circuit with thermoelectric characteristics. In this work, composite return maps and the invariant intervals of the system are considered in order to calculate the bifurcation points of the chaotic attractors. This work focuses on a simple circuit that simulates the switching action of the current-mode-controlled DC–DC converter; as a result of considering this simple model circuit, a detailed analysis of the chaotic attractors leading to exact solutions is possible. The conditional equations used in the calculation of the bifurcation curves are completely derived, and the bifurcation structure of the system is established.