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The Periodic Behavior of Morse-Smale Diffeomorphisms on Compact Surfaces
Necessary and sufficient conditions are given for the existence of Morse-Smale diffeomorphisms homotopic to the identity with prescribed periodic characteristics on any compact 2-manifold.An important class of dynamical systems on smooth compact manifolds consists of the Morse-Smale diffeomorphisms.These have a relatively simple orbit structure and this structure is preserved under …