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Inspired by this finding, the present paper constructs a new memristive neural network composed of three nodes connected by the simplest circular loop, whose synaptic weights are replaced by hyperbolic memristors. The memristive neural network can generate chaos via period-doubling bifurcation, and generate different stable and periodic states with the variation of parameters. Another remarkable feature of the new memristive neural network is that it coexists with point and periodic attractors, periodic and chaotic attractors from different initial conditions. Detailed dynamic analysis and circuit implementation are given to illustrate the existence of chaos and coexisting attractors, which gives a positive answer to the interesting question whether chaos can occur in neural network with the simplest cyclic connections. <\/jats:p>","DOI":"10.1142\/s0218127422500420","type":"journal-article","created":{"date-parts":[[2022,3,11]],"date-time":"2022-03-11T10:34:30Z","timestamp":1646994870000},"source":"Crossref","is-referenced-by-count":78,"title":["Chaos in a Simplest Cyclic Memristive Neural Network"],"prefix":"10.1142","volume":"32","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7703-9793","authenticated-orcid":false,"given":"Qiang","family":"Lai","sequence":"first","affiliation":[{"name":"School of Electrical and Automation Engineering, East China Jiaotong University, Nanchang 330013, P. R. China"}]},{"given":"Cong","family":"Lai","sequence":"additional","affiliation":[{"name":"School of Electrical and Automation Engineering, East China Jiaotong University, Nanchang 330013, P. R. China"}]},{"given":"Paul Didier Kamdem","family":"Kuate","sequence":"additional","affiliation":[{"name":"Laboratory of Condensed Matter, Electronics and Signal Processing, Department of Physics, University of Dschang, P. O. Box 067, Dschang, Cameroon"}]},{"given":"Chunbiao","family":"Li","sequence":"additional","affiliation":[{"name":"School of Artificial Intelligence, Nanjing University of Information Science and Technology, Nanjing 210044, P. R. China"}]},{"given":"Shaobo","family":"He","sequence":"additional","affiliation":[{"name":"School of Physics and Electronics, Central South University, Changsha 410083, P. R. 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