{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,25]],"date-time":"2026-04-25T07:25:18Z","timestamp":1777101918589,"version":"3.51.4"},"reference-count":60,"publisher":"World Scientific Pub Co Pte Ltd","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2023,3,30]]},"abstract":"<jats:p> Since the invention of Chua\u2019s circuit, numerous generalizations based on the substitution of the nonlinear function have been reported. One of the generalizations is obtained by substituting cubic nonlinearity for piece-wise linear (PWL) nonlinearity. Although hidden chaotic attractors with a PWL nonlinearity have been discovered in the classical Chua\u2019s circuit, chaotic attractors with a smooth cubic nonlinearity have long been known as self-excited attractors. Through a systematically exhaustive computer search, this paper identifies coexisting hidden attractors in the smooth cubic Chua\u2019s circuit. Either self-excited or coexisting hidden attractors are now possible in the smooth cubic Chua\u2019s circuit with algebraically elegant values of both initial points and system parameters. The newly found coexisting attractors exhibit an inversion symmetry. Both initial points and system parameters are equally required to localize hidden attractors. Basins of attraction of individual equilibria are illustrated and clearly show critical areas of multistability where a tiny drift in an initial point potentially induces jumps among different basins of attraction and coexisting states. Such multistability poses potential threats to engineering applications. The dynamical regions of hidden and self-excited attractors, and areas of stability of equilibria, are illustrated against two parameter spaces. Both illustrations reveal that two nonzero equilibrium points of the smooth cubic Chua\u2019s circuit have a transition from unstable to stable equilibrium points, leading to generations of self-excited and hidden attractors simultaneously. <\/jats:p>","DOI":"10.1142\/s0218127423300100","type":"journal-article","created":{"date-parts":[[2023,4,5]],"date-time":"2023-04-05T09:36:56Z","timestamp":1680687416000},"source":"Crossref","is-referenced-by-count":19,"title":["Coexistence of Hidden Attractors in the Smooth Cubic Chua\u2019s Circuit with Two Stable Equilibria"],"prefix":"10.1142","volume":"33","author":[{"given":"Irfan","family":"Ahmad","sequence":"first","affiliation":[{"name":"School of Information, Computer, and Communication Technology, Sirindhorn International Institute of Technology, Thammasat University, Pathum Thani 12000, Thailand"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Banlue","family":"Srisuchinwong","sequence":"additional","affiliation":[{"name":"School of Information, Computer, and Communication Technology, Sirindhorn International Institute of Technology, Thammasat University, Pathum Thani 12000, Thailand"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Muhammad","family":"Usman Jamil","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering, Vincent Mary School of Engineering, Assumption University, Samut Prakan 10570, Thailand"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2023,4,5]]},"reference":[{"key":"S0218127423300100BIB002","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1109\/81.372854","volume":"42","author":"Arena P.","year":"1995","journal-title":"IEEE Trans. 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