一类非线性系统的混沌分析

Chaotic Analysis of a Nonlinear System

本文对具有周期外力的非线性系统x+ελ_3x+(sinx-αsin2x)=ε(λ_1+λ_2 cosωt),(其中α,λ_1,λ_2,λ_3为正参数,0<ε<<1)做出系统分析,得出此系统具有两种混沌类型及混沌类型的转变.

This paper analyzes a kind of nonlinear system with the periodic external force: x+s3x+(sinx-a sin2x) = e(1+2coswt) , (Among which a ,1,2,3 are the positive parameters and 0<e<< 1) , and draws out from the system two chaotic categories and the transformation from one category to the other.