方程x=f(t,x(t-1))存在3-周期解并蕴含着浑沌的条件

The Conditions for Existence of 3-periodic Solutions and Occurrence of Chaotic Behavior tox(t)=f(t,x(t-1))

本文首先在定理1中给出方程上x=f(t,x(t-1))存在3-周期解的条件,然后证明在定理1的条件下,上述方程的解将出现浑沌行为(即定理2).

In this paper we study the equationx(t) = f(t,x(t-1)) (E)This paper first proves fwo theorems for existence of 3-periodic solutions and occurence of chaotic behavior to (E). Last gives three examples.