JOURNAL ARTICLE
Grazing, Homoclinic Orbits and Chaos in a Single-Loop Feedback System with a Discontinuous Function.
Published In: International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2023, v. 33, n. 13. P. 1 1 of 3
Database: Academic Search Ultimate 2 of 3
Authored By: Horikawa, Yo 3 of 3
Abstract
Bifurcations and chaos of a three-dimensional single-loop feedback system with a discontinuous piecewise linear feedback function are examined. Chaotic attractors are generated at the same time of the destabilization of foci accompanied with grazing. Multiple periodic solutions are connected with homoclinic orbits based at a pseudo saddle-focus, which satisfies the condition of Shil'nikov chaos formally. The generation of chaotic oscillations is shown in a circuit experiment on a linear ring oscillator with a comparator. The homoclinic bifurcations and chaos are also shown in a ring neural network with a nonmonotonic neuron. [ABSTRACT FROM AUTHOR]
Additional Information
- Source:International Journal of Bifurcation & Chaos in Applied Sciences & Engineering. 2023/10, Vol. 33, Issue 13, p1
- Document Type:Article
- Subject Area:Engineering
- Publication Date:2023
- ISSN:0218-1274
- DOI:10.1142/S0218127423501584
- Accession Number:173311869
- Copyright Statement:Copyright of International Journal of Bifurcation & Chaos in Applied Sciences & Engineering is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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