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

Journal 2025 International Peer-reviewed

Hiroyuki Asahara, Ryota Komori, Kaito Kato, Yuu Miino, and Takuji Kousaka

Journal
Transactions of the Institute of Systems, Control and Information Engineers, ISCIE
Volume
38 (5)
Pages
75–82
Date
May 2025

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.


DOI: 10.5687/iscie.38.75
Show BibTeX
@article{asahara2025bifurcation,
  author = {Hiroyuki Asahara and Ryota Komori and Kaito Kato and Yuu Miino and Takuji Kousaka},
  title = {{Bifurcation Analysis of Chaotic Attractors in an Interrupted Circuit with Thermoelectric Characteristics}},
  journal = {Transactions of the Institute of Systems, Control and Information Engineers},
  publisher = {{The Institute of Systems, Control and Information Engineers}},
  year = {2025},
  month = {5},
  volume = {38},
  number = {5},
  pages = {75--82},
  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.},
  doi = {10.5687/iscie.38.75},
  scope = {international},
  review = {reviewed},
  langid = {english}
}