Homoclinic and Heteroclinic Neural Odes: Theory and Its Use to Construct New Chaotic Attractors
Loading...
Date
Journal Title
Journal ISSN
Volume Title
Publisher
Oles Honchar Dnipro National Universuty, Dnipro
Abstract
ENG: 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 attractors in the mentioned NODE systems.
Description
S. Volkova: ORCID 0009-0008-1113-3868
Citation
Belozyorov V. Ye., Moroz D. M., Volkova S. A. Homoclinic and Heteroclinic Neural Odes: Theory and Its Use to Construct New Chaotic Attractors. Journal of Optimization, Differential Equations and Their Applications. 2025. Vol. 33, Iss. 1. P. 15–41. DOI: http://dx.doi.org/10.15421/142502.