Expansion Of The Torus Map Expansion Factor And Topological Entropy Estimate

This paper firstly gives general theory and results of estimate of toplogical entropy in self maps of compact manifolds,which leading to the main topic "expansive maps on torus".Secondly we improve algorithms in computing lower bound of maximal absolute value of eigenvalues of some classes of matrix.Finally.using the result of eigenvalues,we get some estimate of expansive factor and toplogical entropy of some types of expansive maps on torus.