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| Presentation | 2024-01-24 17:00 On inverse-time responses and bifurcations in 2-dimensional non-autonomus systems Michiru Katayama, Tetsushi Ueta (Tokushima Univ.)  NLP2023-96 MICT2023-51 MBE2023-42 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | A dynamical system represented by the signal response of an electric circuit is expressed as a non-autonomous system. Some non-autonomous systems have strange attractors in their phase space, and their bifurcation structures are of great interest in chaos theory. In this paper, we consider the transformation t → -t to analyze bifurcation structures. The Poincaré map of the periodic solution has a fixed point, which is a condition for non-hyperbolicity, in common with the forward and backward time systems, and the stability of the fixed points is interchanged. As an example, we perform numerical analysis of forward and backward time systems in a two-dimensional non-autonomous electrical circuit. As a result, we confirmed that the parameter regime that corresponds to the divergent regime in the forward time system can sometimes be observed as a periodic solution in the backward time system. We also report that there are strange attractors in the phase space of the backward time system that cannot be seen in the forward time direction. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | diode / bifurcation / chaos / backward time / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 123, no. 354, NLP2023-96, pp. 66-69, Jan. 2024. | |
| Paper # | NLP2023-96 | |
| Date of Issue | 2024-01-17 (NLP, MICT, MBE) | |
| ISSN | Online edition: ISSN 2432-6380 | |
| Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) | |
| Download PDF | NLP2023-96 MICT2023-51 MBE2023-42 |
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| Conference Information | |
| Committee | NC MBE NLP MICT |
| Conference Date | 2024-01-24 - 2024-01-25 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Naruto University of Education |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | NC, MBE, MICT, NLP, etc. |
| Paper Information | |
| Registration To | NLP |
| Conference Code | 2024-01-NC-MBE-NLP-MICT |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On inverse-time responses and bifurcations in 2-dimensional non-autonomus systems |
| Sub Title (in English) | |
| Keyword(1) | diode |
| Keyword(2) | bifurcation |
| Keyword(3) | chaos |
| Keyword(4) | backward time |
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| Keyword(8) | |
| 1st Author's Name | Michiru Katayama |
| 1st Author's Affiliation | Tokushima University (Tokushima Univ.) |
| 2nd Author's Name | Tetsushi Ueta |
| 2nd Author's Affiliation | Tokushima University (Tokushima Univ.) |
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| Speaker | Author-1 |
| Date Time | 2024-01-24 17:00:00 |
| Presentation Time | 20 minutes |
| Registration for | NLP |
| Paper # | NLP2023-96, MICT2023-51, MBE2023-42 |
| Volume (vol) | vol.123 |
| Number (no) | no.354(NLP), no.355(MICT), no.356(MBE) |
| Page | pp.66-69 |
| #Pages | 4 |
| Date of Issue | 2024-01-17 (NLP, MICT, MBE) |
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