{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,3]],"date-time":"2026-02-03T19:13:12Z","timestamp":1770145992900,"version":"3.49.0"},"reference-count":37,"publisher":"World Scientific Pub Co Pte Ltd","issue":"12","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2023,9,30]]},"abstract":"<jats:p> The Chen circuit system, a three-dimensional autonomous system with intriguing dynamics, has gained considerable attention due to its potential applications in diverse scientific fields. In this article, a Chen-like system is defined and a comprehensive dynamics studied. The system exhibits chaotic dynamics, limit cycles, and bifurcations, making it a captivating subject of study. By employing numerical simulations and analytical techniques, we explore the system\u2019s stability and identify critical parameter values leading to qualitative changes. Notably, we delve into Hopf bifurcations, which give rise to stability changes and the emergence of limit cycles. Furthermore, we analyze the fractal dimension of the system\u2019s attractor, providing insights into its complexity and self-similarity. Through a systematic examination of the Chen-like system, we deepen our understanding of its intricate dynamics and offer valuable insights into the underlying mechanisms. The findings contribute to the field of dynamical systems and hold potential implications in areas such as chaos-based secure communications, signal processing, and nonlinear control. This work serves as a valuable reference for researchers and practitioners interested in the dynamics and bifurcation analysis of nonlinear systems. <\/jats:p>","DOI":"10.1142\/s0218127423501444","type":"journal-article","created":{"date-parts":[[2023,10,5]],"date-time":"2023-10-05T09:11:02Z","timestamp":1696497062000},"source":"Crossref","is-referenced-by-count":2,"title":["A Chen-Like Model: High Periodicity Leading to Chaotic Dynamics"],"prefix":"10.1142","volume":"33","author":[{"given":"Sk. Sarif","family":"Hassan","sequence":"first","affiliation":[{"name":"Department of Mathematics, Pingla Thana Mahavidyalaya, Maligram, West Midnapore, West Bengal 721140, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6956-4379","authenticated-orcid":false,"given":"Sujay","family":"Goldar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Pingla Thana Mahavidyalaya, Maligram, West Midnapore, West Bengal 721140, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2023,10,5]]},"reference":[{"key":"S0218127423501444BIB001","volume-title":"Dynamics of Three- Order Rational Difference Equations with Open Problems and Conjectures","author":"Camouzis E.","year":"2008"},{"key":"S0218127423501444BIB002","doi-asserted-by":"crossref","DOI":"10.1142\/3033","volume-title":"From Chaos to Order: Perspectives, Methodologies, and Applications","author":"Chen G.","year":"1998"},{"key":"S0218127423501444BIB003","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127499001024"},{"key":"S0218127423501444BIB005","doi-asserted-by":"publisher","DOI":"10.1142\/S0218126613500229"},{"key":"S0218127423501444BIB006","doi-asserted-by":"crossref","first-page":"609","DOI":"10.1088\/0253-6102\/55\/4\/17","volume":"55","author":"Gorder R. A. V.","year":"2011","journal-title":"Commun. Theoret. Phys."},{"key":"S0218127423501444BIB007","volume-title":"Elements of Applied Bifurcation Theory","author":"Kuznetsov Y. A.","year":"1997"},{"key":"S0218127423501444BIB008","doi-asserted-by":"crossref","first-page":"985","DOI":"10.1080\/00029890.1975.11994008","volume":"82","author":"Li T. Y.","year":"1975","journal-title":"The Amer. Math. Month."},{"key":"S0218127423501444BIB009","doi-asserted-by":"crossref","first-page":"2357","DOI":"10.1016\/j.nonrwa.2008.04.024","volume":"10","author":"Li X. F.","year":"2009","journal-title":"Nonlin. Anal.: Real World Appl."},{"key":"S0218127423501444BIB010","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1109\/IWCFTA.2010.16","volume-title":"Proc. 2010 Int. Workshop on Chaos-Fractal Theories and Applications","author":"Lijun P.","year":"2010"},{"key":"S0218127423501444BIB011","doi-asserted-by":"crossref","first-page":"1031","DOI":"10.1016\/j.chaos.2004.02.060","volume":"22","author":"Liu C.","year":"2004","journal-title":"Chaos Solit. Fract."},{"key":"S0218127423501444BIB012","doi-asserted-by":"crossref","first-page":"130","DOI":"10.1175\/1520-0469(1963)020<0130:DNF>2.0.CO;2","volume":"20","author":"Lorenz E. N.","year":"1963","journal-title":"J. Atmosph. Sci."},{"key":"S0218127423501444BIB013","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127402004851"},{"key":"S0218127423501444BIB014","doi-asserted-by":"crossref","first-page":"1155","DOI":"10.1103\/PhysRevA.30.1155","volume":"30","author":"Matsumoto T.","year":"1984","journal-title":"Phys. Rev. A"},{"key":"S0218127423501444BIB015","volume-title":"Stability of Dynamical Systems: Continuous, Discontinuous, and Discrete Systems","author":"Michel A. N.","year":"2007"},{"key":"S0218127423501444BIB016","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-08539-4","volume-title":"Mathematical Biology","author":"Murray J. D.","year":"1989"},{"key":"S0218127423501444BIB017","doi-asserted-by":"crossref","first-page":"1196","DOI":"10.1103\/PhysRevLett.64.1196","volume":"64","author":"Ott E.","year":"1990","journal-title":"Phys. Rev. Lett."},{"key":"S0218127423501444BIB018","doi-asserted-by":"crossref","first-page":"1015","DOI":"10.1049\/iet-com:20070131","volume":"1","author":"Pehlivan I.","year":"2007","journal-title":"IET Commun."},{"key":"S0218127423501444BIB019","doi-asserted-by":"crossref","first-page":"1777","DOI":"10.1016\/j.compeleceng.2012.08.007","volume":"38","author":"Pehlivan I.","year":"2012","journal-title":"Comput. Electr. Engin."},{"key":"S0218127423501444BIB020","volume-title":"Dynamical Systems: Stability, Symbolic Dynamics and Chaos","author":"Robinson C.","year":"1999"},{"key":"S0218127423501444BIB021","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1016\/0167-2789(92)90107-X","volume":"58","author":"Romeiras F. J.","year":"1992","journal-title":"Physica D"},{"key":"S0218127423501444BIB022","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1016\/0375-9601(76)90101-8","volume":"57","author":"R\u00f6ssler O. E.","year":"1976","journal-title":"Phys. Lett. A"},{"key":"S0218127423501444BIB023","doi-asserted-by":"crossref","first-page":"376","DOI":"10.1111\/j.1749-6632.1979.tb29482.x","volume":"316","author":"R\u00f6ssler O. E.","year":"1979","journal-title":"Ann. NY Acad. Sci."},{"key":"S0218127423501444BIB024","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1016\/0375-9601(80)90466-1","volume":"76","author":"Shimizu T.","year":"1976","journal-title":"Phys. Lett. A"},{"key":"S0218127423501444BIB025","doi-asserted-by":"crossref","first-page":"010509","DOI":"10.1088\/1674-1056\/20\/1\/010509","volume":"20","author":"Si G.-Q.","year":"2011","journal-title":"Chinese Phys. B"},{"key":"S0218127423501444BIB026","doi-asserted-by":"crossref","first-page":"R647","DOI":"10.1103\/PhysRevE.50.R647","volume":"50","author":"Sprott J. C.","year":"1994","journal-title":"Phys. Rev.-Sec. E: Statistical Physics Plasma Fluids Related Interdiscpl Topics"},{"key":"S0218127423501444BIB027","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1016\/S0375-9601(97)00088-1","volume":"228","author":"Sprott J. C.","year":"1997","journal-title":"Phys. Lett. A"},{"key":"S0218127423501444BIB028","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1016\/S0375-9601(00)00026-8","volume":"266","author":"Sprott J. C.","year":"2000","journal-title":"Phys. Lett. A"},{"key":"S0218127423501444BIB029","volume-title":"Nonlinear Dynamics and Chaos. Studies in Nonlinearity","author":"Strogatz S.","year":"2007"},{"key":"S0218127423501444BIB030","doi-asserted-by":"crossref","first-page":"1904","DOI":"10.1016\/j.mcm.2011.11.048","volume":"55","author":"Sundarapandian V.","year":"2012","journal-title":"Math. Comput. Model."},{"key":"S0218127423501444BIB031","volume-title":"On the Characterization of Steady- States in Three-Dimensional Discrete Dynamical Systems","author":"Tabakovic A.","year":"2015"},{"key":"S0218127423501444BIB032","doi-asserted-by":"crossref","first-page":"1093","DOI":"10.1016\/j.compeleceng.2010.04.002","volume":"36","author":"Uyaroglu Y.","year":"2010","journal-title":"Comput. Electr. Engin."},{"key":"S0218127423501444BIB033","doi-asserted-by":"crossref","first-page":"3367","DOI":"10.1016\/j.cnsns.2010.11.014","volume":"16","author":"Wang T.","year":"2011","journal-title":"Commun. Nonlin. Sci. Numer. Simulat."},{"key":"S0218127423501444BIB034","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1016\/j.nonrwa.2010.05.038","volume":"12","author":"Wei Z.","year":"2011","journal-title":"Nonlin. Anal.: Real World Appl."},{"key":"S0218127423501444BIB035","volume":"72","author":"Wen G.","year":"2005","journal-title":"Phys. Rev. E"},{"key":"S0218127423501444BIB036","doi-asserted-by":"crossref","first-page":"212","DOI":"10.1016\/j.jsv.2007.09.003","volume":"311","author":"Wen G.","year":"2008","journal-title":"J. Sound Vibr."},{"key":"S0218127423501444BIB037","volume-title":"Introduction to Applied Nonlinear Dynamical Systems and Chaos","author":"Wiggins S.","year":"2003"},{"key":"S0218127423501444BIB038","doi-asserted-by":"crossref","first-page":"5773","DOI":"10.1016\/j.physleta.2008.07.032","volume":"372","author":"Zhou W.","year":"2008","journal-title":"Phys. Lett. A"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127423501444","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,5]],"date-time":"2023-10-05T09:12:31Z","timestamp":1696497151000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0218127423501444"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,9,30]]},"references-count":37,"journal-issue":{"issue":"12","published-print":{"date-parts":[[2023,9,30]]}},"alternative-id":["10.1142\/S0218127423501444"],"URL":"https:\/\/doi.org\/10.1142\/s0218127423501444","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,9,30]]},"article-number":"2350144"}}