Neural networks with poincare chaos

Date

2019-09-19

Author

Akhmet, Marat
Tleubergenova, Madina
Zhamanshin, Akylbek

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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© 2019 Association for Computing Machinery. ACM ISBN 978-1-4503-7234-3/19/09…$15.00To make research of chaos more amenable to investigating the neural networks through differential equations, we apply the results initiated in [1,2], where the Poincare chaos is introduced. The presence of chaos is approved by existence of unpredictable solutions. The present research considers the existence and uniqueness of asymptotically stable unpredictable solution for a shunting inhibitory cellular neural network (SICNN). Appropriate examples with simulations that support the theoretical results are provided.

Subject Keywords

Asymptotical stability, Poincare chaos, Shunting inhibitory cellular neural networks, Unpredictable solutions

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85079863224&origin=inward
https://hdl.handle.net/11511/98834

DOI

https://doi.org/10.1145/3373744.3373749

Conference Name

11th International Conference on Information Management and Engineering, ICIME 2019

Collections

Department of Mathematics, Conference / Seminar

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Citation Formats

M. Akhmet, M. Tleubergenova, and A. Zhamanshin, “Neural networks with poincare chaos,” presented at the 11th International Conference on Information Management and Engineering, ICIME 2019, London, İngiltere, 2019, Accessed: 00, 2022. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85079863224&origin=inward.