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(In other words, a state feedback [Formula: see text] is introduced into the right side of the system under study: [Formula: see text].) As a result, the newly obtained system generates new chaotic attractors, which are topologically not equivalent (generally speaking) to the attractor [Formula: see text]. In addition, for an antisymmetric neural ODE system with a homoclinic orbit connected at a saddle point, the conditions for the occurrence of chaotic dynamics are found.<\/jats:p>","DOI":"10.1142\/s0218127422502182","type":"journal-article","created":{"date-parts":[[2022,12,2]],"date-time":"2022-12-02T06:09:32Z","timestamp":1669961372000},"source":"Crossref","is-referenced-by-count":3,"title":["Odd and Even Functions in the Design Problem of New Chaotic Attractors"],"prefix":"10.1142","volume":"32","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7265-4343","authenticated-orcid":false,"given":"Vasiliy Ye.","family":"Belozyorov","sequence":"first","affiliation":[{"name":"Department of Applied Mathematics, Dnipro National University, Gagarin\u2019s Avenue, 72, 49010, Dnipro, Ukraine"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Svetlana A.","family":"Volkova","sequence":"additional","affiliation":[{"name":"Department of Computer Information Technologies, Ukrainian State University of Science and Technologies, Academican Lazaryan\u2019s Street, 2, 49010, Dnipro,Ukraine"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2022,11,29]]},"reference":[{"key":"S0218127422502182BIB001","doi-asserted-by":"crossref","first-page":"1571","DOI":"10.1142\/S0218127499001097","volume":"9","author":"Banks S. 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