In order to study the dynamical properties of of G-average shadowing property and G-chain transitivity in inverse limit space under group action,the following results are obtained by using the relationship betw een the original space and the inverse limit space.It is equivalent condition that the self-map f has G-average shadowing property and the shift mapσhas G-average shadowing property.It is equivalent condition that the self-map f is G-chain transitivity and the shift map σis G-chain transitivity.
关键词
群作用/逆极限空间/G-平均跟踪性/G-链传递
Key words
group action/inverse limit space/G-average shadowing property/G-chain transitivity
维普
万方数据