计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2015年
11期
55-56
,共2页
孙叶平%李德雪%张勇%舒永录
孫葉平%李德雪%張勇%舒永錄
손협평%리덕설%장용%서영록
洛伦兹系统%吸引集%数值仿真
洛倫玆繫統%吸引集%數值倣真
락륜자계통%흡인집%수치방진
Lorenz system%attractive set%computer simulation
洛伦兹混沌系统是一个非常重要的混沌系统。给出了强迫洛伦兹混沌系统的数学模型，借助李雅普诺夫函数稳定性理论研究了该系统的全局吸引集，推广了现有文献中的结果。数值模拟表明了方案的可行性。
洛倫玆混沌繫統是一箇非常重要的混沌繫統。給齣瞭彊迫洛倫玆混沌繫統的數學模型，藉助李雅普諾伕函數穩定性理論研究瞭該繫統的全跼吸引集，推廣瞭現有文獻中的結果。數值模擬錶明瞭方案的可行性。
락륜자혼돈계통시일개비상중요적혼돈계통。급출료강박락륜자혼돈계통적수학모형，차조리아보낙부함수은정성이론연구료해계통적전국흡인집，추엄료현유문헌중적결과。수치모의표명료방안적가행성。
Lorenz system is a very important chaotic system. The model of the forced Lorenz system is studied in this paper. The global attractive set of the forced Lorenz system is studied according to Lyapunov functions theory. The results pre-sented in this article contain the existing results as special cases. Numerical simulations are presented to show the effec-tiveness of the proposed scheme.
