{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,14]],"date-time":"2026-05-14T06:24:30Z","timestamp":1778739870006,"version":"3.51.4"},"reference-count":37,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2026,2,27]],"date-time":"2026-02-27T00:00:00Z","timestamp":1772150400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>Dynamical systems with chaotic attractors are an interesting topic not only for their complex behavior but also due to their potential applications. Along with the chaos, systems can also present interesting features such as multistability, global basin of attractions, entangled basins of attraction, etc. The existence of chaotic systems with multistable hidden attractors increases complexity but also the number of potential applications. Several systems with hidden attractors have already been found by numerical search; however, it is usually not possible to substantially modify their equations or attractor geometry. In this study, an approach to generate multistable systems with a class of hidden attractors is proposed. The approach allows for the control of the amplitude and frequency of the chaotic signals of the different attractors as well as their location in the space by preserving a simple matrix form in the vector field. Particular cases with mono-stability and multistability are shown. Also, chaotic signals obtained through the approach are used in a pseudorandom number generator to obtain binary sequences which are tested under the Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications provided by the National Institute of Standards and Technology (NIST).<\/jats:p>","DOI":"10.3390\/axioms15030165","type":"journal-article","created":{"date-parts":[[2026,2,27]],"date-time":"2026-02-27T11:22:57Z","timestamp":1772191377000},"page":"165","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A Novel Method for Designing Multistable Systems with a Hidden Attractor"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4253-2817","authenticated-orcid":false,"given":"Rodolfo de Jes\u00fas","family":"Escalante-Gonz\u00e1lez","sequence":"first","affiliation":[{"name":"Departamento de El\u00e9ctrica, Electr\u00f3nica, Mecatr\u00f3nica y Semiconductores, Tecnol\u00f3gico Nacional de M\u00e9xico, Campus San Luis Potos\u00ed, Avenida Tecnol\u00f3gico, Soledad de Graciano S\u00e1nchez 78437, San Luis Potos\u00ed, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4978-4526","authenticated-orcid":false,"given":"Hector Eduardo","family":"Gilardi-Vel\u00e1zquez","sequence":"additional","affiliation":[{"name":"Facultad de Ingenier\u00eda, Universidad Panamericana, Josemar\u00eda Escriv\u00e1 de Balaguer 101, Aguascalientes 20296, Aguascalientes, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1098-1610","authenticated-orcid":false,"given":"Eric","family":"Campos","sequence":"additional","affiliation":[{"name":"Divisi\u00f3n de Control y Sistemas Din\u00e1micos, Instituto Potosino de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica, A.C., Camino a La Presa San Jos\u00e9 2055, Lomas 4 Secci\u00f3n, San Luis Potos\u00ed 78216, San Luis Potos\u00ed, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2026,2,27]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Ghys, \u00c9. 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