G-链连续点和G-极限跟踪性
G-chain Continuous Point and G-limit Shadowing Property
We introduced the concepts of G-chain continuous poin and G-limit shadowing property in metric G-space. By using the properties of equivariant map and commutative group, we studied the dynamical properties of G-chain continuous poin and G-limit shadowing property, and obtained the following results. (1)The equivalent condition is given for every point to be G-chain continuous. That is, the map is G-equicontinuous and has G-shadowing property in metric G-space; (2) G-expansivity and G-shadowing property imply G-limit shadowing property. These results enrich the theory of G-chain continuous point and G-limit shadowing property in metric G-space.
G-等度连续 / G-链连续点 / G-扩张性 / G-极限跟踪性 / G-跟踪性
G-equicontinuity / G-chain continuous point / G-expansivity / G-limit shadowing property / G-shadowing property
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