{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,17]],"date-time":"2026-02-17T15:33:49Z","timestamp":1771342429216,"version":"3.50.1"},"reference-count":31,"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":[[2010,4]]},"abstract":"<jats:p>This paper reports the finding of an unusual three-dimensional autonomous quadratic Lorenz-like chaotic system which, surprisingly, has two stable node-type of foci as its only equilibria. The new system contains the diffusionless Lorenz system and the Burke\u2013Shaw system, and some others, as special cases. The algebraic form of the new chaotic system is similar to the other Lorenz-type systems, but they are topologically nonequivalent. To further analyze the new system, some dynamical behaviors such as Hopf bifurcation and singularly degenerate heteroclinic and homoclinic orbits, are rigorously proved with simulation verification. Moreover, it is proved that the new system with some specified parameter values has Silnikov-type homoclinic and heteroclinic chaos.<\/jats:p>","DOI":"10.1142\/s0218127410026320","type":"journal-article","created":{"date-parts":[[2010,4,26]],"date-time":"2010-04-26T08:26:17Z","timestamp":1272270377000},"page":"1061-1083","source":"Crossref","is-referenced-by-count":141,"title":["AN UNUSUAL 3D AUTONOMOUS QUADRATIC CHAOTIC SYSTEM WITH TWO STABLE NODE-FOCI"],"prefix":"10.1142","volume":"20","author":[{"given":"QIGUI","family":"YANG","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, P. R. China"}]},{"given":"ZHOUCHAO","family":"WEI","sequence":"additional","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, Kowloon, Hong Kong SAR, P. R. 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