Version 1
: Received: 8 August 2023 / Approved: 9 August 2023 / Online: 9 August 2023 (07:29:54 CEST)
How to cite:
Hassan, S.S.; Goldar, S. Chen Circuit-Like Model: High Periodicity Leading to Chaotic Dynamics. Preprints2023, 2023080741. https://doi.org/10.20944/preprints202308.0741.v1
Hassan, S.S.; Goldar, S. Chen Circuit-Like Model: High Periodicity Leading to Chaotic Dynamics. Preprints 2023, 2023080741. https://doi.org/10.20944/preprints202308.0741.v1
Hassan, S.S.; Goldar, S. Chen Circuit-Like Model: High Periodicity Leading to Chaotic Dynamics. Preprints2023, 2023080741. https://doi.org/10.20944/preprints202308.0741.v1
APA Style
Hassan, S.S., & Goldar, S. (2023). Chen Circuit-Like Model: High Periodicity Leading to Chaotic Dynamics. Preprints. https://doi.org/10.20944/preprints202308.0741.v1
Chicago/Turabian Style
Hassan, S.S. and Sujay Goldar. 2023 "Chen Circuit-Like Model: High Periodicity Leading to Chaotic Dynamics" Preprints. https://doi.org/10.20944/preprints202308.0741.v1
Abstract
The Chen circuit system, a three-dimensional autonomous system with intriguing dynamics, has gained considerable attention due to its potential applications in diverse scientific fields. In this article, a Chen circuit-like system is defined and a comprehensive dynamics has been studied. The system exhibits chaotic dynamics, limit cycles, and bifurcations, making it a captivating subject of study. By employing numerical simulations and analytical techniques, we explore the system's stability and identify critical parameter values leading to qualitative changes. Notably, we delve Hopf bifurcations, which give rise to stability changes and the emergence of limit cycles. Furthermore, we analyze the fractal dimension of the system's attractor, providing insights into its complexity and self-similarity. Through a systematic examination of the Chen circuit-like system, we deepen our understanding of its intricate dynamics and offer valuable insights into the underlying mechanisms. The findings contribute to the field of dynamical systems and hold potential implications in areas such as chaos-based secure communications, signal processing, and nonlinear control. This work serves as a valuable reference for researchers and practitioners interested in the dynamics and bifurcation analysis of nonlinear systems.
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
