The space of dynamical systems with the C0-topology / Sergei Yu. Pilyugin
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 1571Langue : anglais.Éditeur : Berlin : Springer-Verlag, 1994ISBN: 9783540577027.ISSN: 1617-9692.Sujet MSC : 37Bxx, Dynamical systems and ergodic theory - Topological dynamics37C75, Smooth dynamical systems: general theory, Stability theory for smooth dynamical systems
37C70, Smooth dynamical systems: general theory, Attractors and repellers and their topological structure
37J40, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, Perturbations, normal forms, small divisors, KAM theory, Arnol'd diffusionEn-ligne : Springerlink | Zentralblatt | MathSciNet
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As its name implies, this monograph is a study of the space of homeomorphisms of a smooth compact manifold M without boundary. The author does not attempt to be comprehensive, but focuses on properties related to small perturbations (in the uniform topology) of a given homeomorphism. Although the book presents a wide survey of the state of knowledge in this area, naturally enough there is some emphasis on the original work of the author and his coworkers. ... (MathSciNet)
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