{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,25]],"date-time":"2026-03-25T20:00:26Z","timestamp":1774468826572,"version":"3.50.1"},"reference-count":25,"publisher":"World Scientific Pub Co Pte Ltd","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2008,5]]},"abstract":"<jats:p>This paper reports the finding of a chaotic system with one saddle and two stable node-foci in a simple three-dimensional (3D) autonomous system. The system connects the original Lorenz system and the original Chen system and represents a transition from one to the other. The algebraical form of the chaotic attractor is very similar to the Lorenz-type systems but they are different and, in fact, nonequivalent in topological structures. Of particular interest is the fact that the chaotic system has a chaotic attractor, one saddle and two stable node-foci. To further understand the complex dynamics of the system, some basic properties such as Lyapunov exponents, bifurcations, routes to chaos, periodic windows, possible chaotic and periodic-window parameter regions, and the compound structure of the system are analyzed and demonstrated with careful numerical simulations.<\/jats:p>","DOI":"10.1142\/s0218127408021063","type":"journal-article","created":{"date-parts":[[2008,7,17]],"date-time":"2008-07-17T08:59:21Z","timestamp":1216285161000},"page":"1393-1414","source":"Crossref","is-referenced-by-count":176,"title":["A CHAOTIC SYSTEM WITH ONE SADDLE AND TWO STABLE NODE-FOCI"],"prefix":"10.1142","volume":"18","author":[{"given":"QIGUI","family":"YANG","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, P. R. China"}]},{"given":"GUANRONG","family":"CHEN","sequence":"additional","affiliation":[{"name":"Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","volume-title":"Polynomials and Linear Control Systems","author":"Barnett S.","year":"1983"},{"key":"rf2","first-page":"403","volume":"30","author":"\u010celikovsk\u00fd S.","journal-title":"Kybernetika"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127402005467"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2005.02.040"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127499001024"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2003.10.009"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127402004620"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1142\/S021812740200631X"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1090\/S0273-0979-1995-00558-6"},{"key":"rf11","first-page":"179","volume":"19","author":"Oselede V. I.","journal-title":"Trudy Moskov. Mat. Obshch."},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-5767-7"},{"key":"rf13","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198508397.001.0001","volume-title":"Chaos and Time-Series Analysis","author":"Sprott J. C.","year":"2003"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1038\/35023206"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1016\/S0764-4442(99)80439-X"},{"key":"rf16","doi-asserted-by":"crossref","first-page":"1917","DOI":"10.1142\/S0218127400001183","volume":"10","author":"Ueta T.","journal-title":"Int. J. Bifurcation and Chaos"},{"key":"rf17","volume-title":"Control Systems: From Linear Analysis to Synthesis of Chaos","author":"Vane\u010d\u011bk A.","year":"1996"},{"key":"rf18","unstructured":"R.\u00a0Williams, Turbulence Seminar Berkeley 1996\/97, eds. P.\u00a0Bermard and T.\u00a0Ratiu (Springer-Verlag, Berlin, 1997)\u00a0pp. 94\u2013112."},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127406016501"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127407019792"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127403008089"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127404011296"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2003.10.030"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1016\/S0960-0779(03)00243-1"},{"key":"rf25","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-005-4195-8"},{"key":"rf26","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127406016203"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127408021063","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,28]],"date-time":"2024-02-28T10:55:42Z","timestamp":1709117742000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127408021063"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,5]]},"references-count":25,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2008,5]]}},"alternative-id":["10.1142\/S0218127408021063"],"URL":"https:\/\/doi.org\/10.1142\/s0218127408021063","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,5]]}}}