兔嗅觉系统非线性动力学研究——混沌仿真的数学基础  

A Study on Non-Linear Dynamics of Rabbit′s Olfactory System——Mathematic Basis of Chaos Simulation

作　　者：欧阳楷[1] 王筝[1] 贾文艳 杨德超 高军涛 

机构地区：[1]首都医科大学生物医学工程学院,100054

出　　处：《北京生物医学工程》2002年第2期119-121,共3页Beijing Biomedical Engineering

基　　金：国家基金委资助 (No .69875 0 11)

摘　　要：本文从仿真的角度讨论了Fteeman的嗅觉数学模型中的 (1)过渡过程与似稳态的差别 ;(2 )在不同输入时用系统二维混沌图进行的分类原则 ;(3)初值不同对二维混沌图的影响 ;(4)当步长减小时系统误差不但不减小反而增加的现象。以上所述都是以Freeman模型的数学解为基础用计算机混沌形态图作出的 ,因而本文可以看作混沌仿真的数学基础。In this paper, four main problems are discussed according to Freeman′s Olfactory Math Model:(1) The difference between transient process and quasi stationary process (2) The classification principle using system two dimensional chaos graphics for diferent inputs (3) The effects to two dimensional chaos graphics when values are initial(4) Why system error increases but not decrea ses as the step size decreases. All the above mentioned were achieved using computer chaos morphological graphics with the math solution of Freeman′s Model as the basis. So, what is introduced in this paper can be regarded as one of math foundations of chaos simulation.

关 键 词：嗅觉模型 二维混沌图 混沌仿真 非线性动力学 兔 

分 类 号：R318.04[医药卫生—生物医学工程] R339.12[医药卫生—基础医学]