Dynamical systems on 2- and 3-Manifolds. (2016)

• Record Type: Book
• Further Information: Note: Viacheslav Z. Grines, Timur V. Medvedev, Olga V. Pochinka.
• Other Names: Grines, Viacheslav Z; Medvedev, Timur V; Pochinka, Olga V
• Contents: 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.
• Publisher Details: Cham : Springer
• Publication Date: 2016
• Extent: 1 online resource
• Subjects: 514/.34; Mathematics; Topological manifolds; Three-manifolds (Topology); MATHEMATICS -- Topology; Three-manifolds (Topology); Topological manifolds; Mathematics; Topology; Dynamical Systems and Ergodic Theory; Ordinary Differential Equations; Mathematics -- Mathematical Analysis; Mathematics -- Differential Equations; Nonlinear science; Differential calculus & equations; Topology; Differentiable dynamical systems; Differential Equations; Topology; Electronic books
• Languages: English
• ISBNs: 9783319448473; 3319448471
• Related ISBNs: 9783319448466; 3319448463
• Notes: Note: Includes bibliographical references and index.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.