G-average shadowing property and G-chain transitivity in inverse limit space under group action
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.
group actioninverse limit spaceG-average shadowing propertyG-chain transitivity
万方数据
维普
