关于Lorenz映射的Sarkovskii定理(英文)

On Sarkovskii′s theorem for Lorenz maps

对任给定正整数s,r满足rs及s>1,构造了一个具有s周期点而没有r周期点的Lorenz映射.

Given any two positive integers s,r Abstract: Given any two positive integers s,r s,r with r  s in Sarkovskii ordering and s>1, a Lorenz map which has a periodic point of period s but no periodic points of period r is constructed. r  s in Sarkovskii ordering and s>1, a Lorenz map which has a periodic point of period s but no periodic points of period r is constructed. in Sarkovskii ordering and s>1, a Lorenz map which has a periodic point of period s but no periodic points of period r is constructed.