Dynamical Systems on 2- and 3-Manifolds

List of Symbols.- Introduction.- Further reading.- 1. Introduction to dynamical systems.- 2. General properties of the Morse-Smale diffeomorphisms.- 3. The topological classification of the gradient-like diffeomorphism on surfaces.- 4. Wild embedding on the separatrices into 3-manifolds and Pixton diffeomorphism.- 5. The classification of the gradient-like diffeomorphisms on 3-manifolds.- 6. Interrelation between the dynamics of Morse-Smale diffeormorphisms and the topology of the ambient 3-manifold.- 7. An energy function for Morse-Smale diffeomorphisms on 3-manifolds.- 8. The properties of nontrivial basic sets of A -diffeomorphisms related to type and dimension.- 9. The classification of nontrivial basic sets of A -diffeomorphisms of surfaces.- 10. Basic topological concepts of dynamical systems.- Index