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

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dc.contributor.authorBelozyorov, Vasiliy Ye.en
dc.contributor.authorMoroz, Dmytro M.en
dc.contributor.authorVolkova, Svetlana A.en
dc.date.accessioned2025-07-11T11:45:30Z
dc.date.issued2025
dc.descriptionS. Volkova: ORCID 0009-0008-1113-3868en
dc.description.abstractENG: 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.en
dc.description.sponsorshipOles Honchar Dnipro National University, Dnipro; National Technical University "Dnipro Polytechnic", Dniproen
dc.identifier.citationBelozyorov 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.en
dc.identifier.doihttp://dx.doi.org/10.15421/142502en
dc.identifier.issn2312-4547 (Print)
dc.identifier.issn2415-7325 (Online)
dc.identifier.urihttps://model-dnu.dp.ua/index.php/SM/article/view/208en
dc.identifier.urihttps://crust.ust.edu.ua/handle/123456789/20780en
dc.language.isoen
dc.publisherOles Honchar Dnipro National Universuty, Dniproen
dc.subjectsystem of ordinary autonomous differential equationsen
dc.subjectlimit cycleen
dc.subjecthomoclinic and heteroclinic orbitsen
dc.subjectchaotic attractoren
dc.subjectneural networken
dc.subjectКІТuk_UA
dc.subject.classificationTECHNOLOGY::Information technologyen
dc.titleHomoclinic and Heteroclinic Neural Odes: Theory and Its Use to Construct New Chaotic Attractorsen
dc.typeArticleen

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