{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,17]],"date-time":"2026-01-17T17:49:35Z","timestamp":1768672175223,"version":"3.49.0"},"reference-count":18,"publisher":"World Scientific Pub Co Pte Ltd","issue":"15","funder":[{"name":"Training Fund for Basic Research Program of Zhengzhou University","award":["JC21145003"],"award-info":[{"award-number":["JC21145003"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["11602224"],"award-info":[{"award-number":["11602224"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["61873245"],"award-info":[{"award-number":["61873245"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2023,12,15]]},"abstract":"<jats:p> In this paper, we consider the piecewise-linear Chua\u2019s circuit, which is well known for its rich variety of bifurcation, chaotic and other nonlinear phenomena. Suitable switching boundaries are introduced based on the piecewise-linear representation of Chua\u2019s diode. In this way, we derive analytical conditions for a grazing bifurcation to occur, when one or two families of periodic orbits have a zero-velocity contact with the switching boundaries. In connection to this phenomenon, we also study the focus-center-limit cycle bifurcation and its implications regarding the system dynamics, from both analytical and numerical points of view. Furthermore, a detailed parametric study of Chua\u2019s circuit is carried out via path-following techniques for nonsmooth dynamical systems, implemented via the continuation software COCO. This study reveals the presence of codimension-one bifurcations of limit cycles, such as those mentioned above, as well as classical (fold and period-doubling) bifurcations. The analysis confirms the presence of coexisting attractors, which are produced by a hysteresis loop induced by the interaction of a fold and a focus-center-limit cycle bifurcation. <\/jats:p>","DOI":"10.1142\/s0218127423501857","type":"journal-article","created":{"date-parts":[[2023,12,12]],"date-time":"2023-12-12T06:08:11Z","timestamp":1702361291000},"source":"Crossref","is-referenced-by-count":2,"title":["Grazing-Induced Dynamics of the Piecewise-Linear Chua\u2019s Circuit"],"prefix":"10.1142","volume":"33","author":[{"given":"Shihui","family":"Fu","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, Henan 450001, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Joseph P\u00e1ez","family":"Ch\u00e1vez","sequence":"additional","affiliation":[{"name":"Center for Applied Dynamical Systems and Computational Methods (CADSCOM), Faculty of Natural Sciences and Mathematics, Escuela Superior Polit\u00e9cnica del Litoral, P. O. Box 09-01-5863, Guayaquil, Ecuador"},{"name":"Center for Dynamics, Department of Mathematics, TU Dresden, D-01062 Dresden, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qishao","family":"Lu","sequence":"additional","affiliation":[{"name":"Department of Dynamics and Control, Beihang University, Beijing 100191, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2023,12,11]]},"reference":[{"key":"S0218127423501857BIB001","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.79.037201"},{"key":"S0218127423501857BIB002","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127405014027"},{"key":"S0218127423501857BIB003","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1986.1085869"},{"key":"S0218127423501857BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/BF02704570"},{"key":"S0218127423501857BIB005","first-page":"031003-1","volume":"6","author":"Dankowicz H.","year":"2011","journal-title":"J. Comput. Nonlin. 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