Topological entropy and the complete invariant for expansive maps

The topological entropy of an expansive map is equal to that of the corresponding symbolic system. The topological entropy and ergodic period are a complete invariant index (h, b) for an equivalence relation, almost topological conjugacy, in the setting of ergodically supported expansive maps with shadowing properly, including Anosov maps.Mathematics, AppliedPhysics, MathematicalSCI(E)3ARTICLE3663-6731