{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,5]],"date-time":"2025-11-05T06:46:54Z","timestamp":1762325214094,"version":"build-2065373602"},"reference-count":68,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2022,1,28]],"date-time":"2022-01-28T00:00:00Z","timestamp":1643328000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Here, a chaotic quadratic oscillator with only squared terms is proposed, which shows various dynamics. The oscillator has eight equilibrium points, and none of them is stable. Various bifurcation diagrams of the oscillator are investigated, and its Lyapunov exponents (LEs) are discussed. The multistability of the oscillator is discussed by plotting bifurcation diagrams with various initiation methods. The basin of attraction of the oscillator is discussed in two planes. Impulsive control is applied to the oscillator to control its chaotic dynamics. Additionally, the circuit is implemented to reveal its feasibility.<\/jats:p>","DOI":"10.3390\/sym14020259","type":"journal-article","created":{"date-parts":[[2022,1,29]],"date-time":"2022-01-29T01:43:27Z","timestamp":1643420607000},"page":"259","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["A Chaotic Quadratic Oscillator with Only Squared Terms: Multistability, Impulsive Control, and Circuit Design"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6604-8910","authenticated-orcid":false,"given":"Dhinakaran","family":"Veeman","sequence":"first","affiliation":[{"name":"Centre for Additive Manufacturing, Chennai Institute of Technology, Chennai 600069, India"}]},{"given":"Ahmad","family":"Alanezi","sequence":"additional","affiliation":[{"name":"Computer Science and Applied Mathematics, Faculty of Engineering and Technology, Liverpool John Moores University, Kingsway House Crosby Rd N, Liverpool L3 2AJ, UK"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1303-9089","authenticated-orcid":false,"given":"Hayder","family":"Natiq","sequence":"additional","affiliation":[{"name":"Department of Computer Techniques Engineering, Information Technology College, Imam Ja\u2019afar Al-Sadiq University, Baghdad 10001, Iraq"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6845-7539","authenticated-orcid":false,"given":"Sajad","family":"Jafari","sequence":"additional","affiliation":[{"name":"Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), No. 350, Hafez Ave, Valiasr Square, Tehran 159163-4311, Iran"},{"name":"Health Technology Research Institute, Amirkabir University of Technology(Tehran Polytechnic), No. 350, Hafez Ave, Valiasr Square, Tehran 159163-4311, Iran"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5068-2033","authenticated-orcid":false,"given":"Ahmed A.","family":"Abd El-Latif","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebeen El-Kom 32511, Egypt"}]}],"member":"1968","published-online":{"date-parts":[[2022,1,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1723","DOI":"10.1140\/epjs\/s11734-021-00181-2","article-title":"A simple chaotic circuit with magnetic flux-controlled memristor","volume":"230","author":"Li","year":"2021","journal-title":"Eur. 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