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The structure of the chaotic attractor in this new system is found to be completely different from that in the Lorenz system or the Chen system or the L\u00fc system, etc., which motivates us to further study in detail its complicated dynamical behaviors, such as the number of its equilibrium, the stability of the hyperbolic and nonhyperbolic equilibrium, the degenerate pitchfork bifurcation, the Hopf bifurcation and the local manifold character, etc., when its parameters vary in their space. The existence or nonexistence of homoclinic and heteroclinic orbits of this system is also rigorously proved. Numerical simulation evidences are also presented to examine the corresponding theoretical analytical results.<\/jats:p>","DOI":"10.1142\/s0218127411030039","type":"journal-article","created":{"date-parts":[[2011,7,12]],"date-time":"2011-07-12T09:19:23Z","timestamp":1310462363000},"page":"2695-2712","source":"Crossref","is-referenced-by-count":29,"title":["HOMOCLINIC AND HETEROCLINIC ORBITS AND BIFURCATIONS OF A NEW LORENZ-TYPE SYSTEM"],"prefix":"10.1142","volume":"21","author":[{"given":"XIANYI","family":"LI","sequence":"first","affiliation":[{"name":"College of Mathematics and Computational Science, Shenzhen University, Shenzhen, Guangdong 518060, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"HAIJUN","family":"WANG","sequence":"additional","affiliation":[{"name":"College of Mathematics and Computational Science, Shenzhen University, Shenzhen, Guangdong 518060, P. R. 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