Dynamical Systems on 2- and 3-Manifolds

1. Introduction to Dynamical Systems
Viacheslav Z. Grines, Timur V. Medvedev, Olga V. Pochinka

2. General Properties of the Morse–Smale Diffeomorphisms
Viacheslav Z. Grines, Timur V. Medvedev, Olga V. Pochinka

3. The Topological Classification of the Gradient-Like Diffeomorphism on Surfaces
Viacheslav Z. Grines, Timur V. Medvedev, Olga V. Pochinka

4. Wild Embedding of the Separatrices into 3-Manifolds and Pixton Diffeomorphism
Viacheslav Z. Grines, Timur V. Medvedev, Olga V. Pochinka

5. The Classification of the Gradient-Like Diffeomorphisms on 3-Manifolds
Viacheslav Z. Grines, Timur V. Medvedev, Olga V. Pochinka

6. Interrelation Between the Dynamics of Morse–Smale Diffeomorphisms and the Topology of the Ambient 3-Manifold
Viacheslav Z. Grines, Timur V. Medvedev, Olga V. Pochinka

7. An Energy Function for Morse–Smale Diffeomorphisms on 3-Manifolds
Viacheslav Z. Grines, Timur V. Medvedev, Olga V. Pochinka

8. The Properties of Nontrivial Basic Sets of A-Diffeomorphisms Related to Type and Dimension
Viacheslav Z. Grines, Timur V. Medvedev, Olga V. Pochinka

9. The Classification of Nontrivial Basic Sets of A-Diffeomorphisms of Surfaces
Viacheslav Z. Grines, Timur V. Medvedev, Olga V. Pochinka

10. Basic Topological Concepts of Dynamical Systems
Viacheslav Z. Grines, Timur V. Medvedev, Olga V. Pochinka

Keywords: Mathematics, Topology, Dynamical Systems and Ergodic Theory, Ordinary Differential Equations