Homoclinic and Heteroclinic Neural ODEs: Theory and Its Use to Construct New Chaotic Attractors

New types of neural ordinary differential equations (NODE) with power nonlinearities are considered. For these NODE systems, new conditions for the existence of homoclinic and heteroclinic orbits are found. In the future, the implementation of these conditions guarantees the existence of chaotic att...

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Bibliographic Details
Main Authors: Vasiliy Ye. Belozyorov, Dmytro M. Moroz, Svetlana A. Volkova
Format: Article
Language:English
Published: Oles Honchar Dnipro National University 2025-04-01
Series:Journal of Optimization, Differential Equations and Their Applications
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Online Access:https://model-dnu.dp.ua/index.php/SM/article/view/208
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