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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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Главные авторы: Vasiliy Ye. Belozyorov, Dmytro M. Moroz, Svetlana A. Volkova
Формат: Artigo
Язык:Inglês
Опубликовано: Oles Honchar Dnipro National University 2025-04-01
Серии:Journal of Optimization, Differential Equations and Their Applications
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Online-ссылка:https://model-dnu.dp.ua/index.php/SM/article/view/208
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