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Based on the orthogonal polynomial approximation, the method of transforming the system into an equivalent deterministic system is given. Then dynamic analysis of the nonlinear chaotic system with multistochastic disturbances can be reduced into that of its equivalent deterministic system. Especially, the Lorenz system with multistochastic disturbances is studied to demonstrate the feasibility of the given method. And its dynamic behaviors are gained including the phase portrait, the bifurcation diagram, the Poincar\u00e9 section, and the maximum Lyapunov exponent.<\/jats:p>","DOI":"10.1155\/2014\/610816","type":"journal-article","created":{"date-parts":[[2014,8,6]],"date-time":"2014-08-06T17:03:30Z","timestamp":1407344610000},"page":"1-16","source":"Crossref","is-referenced-by-count":1,"title":["Dynamic Analysis of the Nonlinear Chaotic System with Multistochastic Disturbances"],"prefix":"10.1155","volume":"2014","author":[{"given":"Lingling","family":"Geng","sequence":"first","affiliation":[{"name":"Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yongguang","family":"Yu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shuo","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"year":"2004","key":"1"},{"year":"1998","key":"2"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2004.09.081"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2003.12.063"},{"key":"5","doi-asserted-by":"crossref","first-page":"184","DOI":"10.1016\/j.amc.2013.11.088","volume":"228","year":"2014","journal-title":"Applied Mathematics and Computation"},{"volume":"2","year":"1967","key":"6"},{"year":"1963","key":"7"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2005.10.024"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2005.02.026"},{"issue":"5-6","key":"10","doi-asserted-by":"crossref","first-page":"855","DOI":"10.1016\/0045-7949(72)90043-0","volume":"2","year":"1972","journal-title":"Computers & Structures"},{"year":"1992","key":"11"},{"year":"1991","key":"12"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1061\/(ASCE)0733-9399(1992)118:5(1012)"},{"issue":"1","key":"14","first-page":"66","volume":"28","year":"1996","journal-title":"Acta Mechanica Sinica. 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