分数阶超混沌L系统的吸引子讨论  

Discussion on THE Attractor of Haperchaotic L

作　　者：隋丽丽[1] 刘瑞芹[1] 

机构地区：[1]华北科技学院基础部,北京东燕郊101601

出　　处：《华北科技学院学报》2010年第2期84-88,共5页Journal of North China Institute of Science and Technology

基　　金：国家自然科学基金项目;项目批准号:60872062

摘　　要：本文利用Caputo意义下分数阶导数的概念,将整数阶L系统拓展为四维分数阶的形式,通过分数阶导数的恒等形式,利用预估校正算法把分数阶系统进行了离散化,给出分数阶微分系统的近似数值解,从而刻画出其吸引子的状态。In this paper,we give the integer-order L system an expansion for the four-dimension fractional order under the sense of Caputo fractional derivative concept for the first time. And also we give the approximate numerical solution of the differential system using predictor-corrector algorithm for the fractional-order system of the discretization,which depicts the attractor state.

关 键 词：分数阶导数 预估校正 吸引子 

分 类 号：O37[理学—流体力学]