Spaces of Dynamical Systems / / Sergei Yu. Pilyugin.

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Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2019]
©2019
Year of Publication:2019
Edition:2. rev. and exten. edition
Language:English
Series:De Gruyter Studies in Mathematical Physics , 3
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Physical Description:1 online resource (XV, 241 p.)
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245 1 0 |a Spaces of Dynamical Systems /  |c Sergei Yu. Pilyugin. 
250 |a 2. rev. and exten. edition 
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264 4 |c ©2019 
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505 0 0 |t Frontmatter --   |t Contents --   |t Preface to the first edition --   |t Preface to the second edition --   |t List of main symbols --   |t 1. Dynamical systems --   |t 2. Topologies on spaces of dynamical systems --   |t 3. Equivalence relations --   |t 4. Hyperbolic fixed point --   |t 5. Hyperbolic rest point and hyperbolic closed trajectory --   |t 6. Transversality --   |t 7. Hyperbolic sets --   |t 8. Anosov diffeomorphisms --   |t 9. Smale’s horseshoe and chaos --   |t 10. Closing lemma --   |t 11. C0-generic properties of dynamical systems --   |t 12. Shadowing of pseudotrajectories in dynamical systems --   |t 13. Invariant measures --   |t A. Scheme of the proof of the Mañé theorem --   |t B. Lectures on selected chapters of the history of differential equations and dynamical systems --   |t Bibliography --   |t Index 
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