Spaces of Dynamical Systems
1st Edition
Published on 15. March 2012
Book
Hardback
XV, 229 pages
978-3-11-025595-9 (ISBN)
Description
The De Gruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply and develop further, with sufficient rigor, mathematical methods to given problems in physics. For this reason, works with a few authors are preferred over edited volumes. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They can also serve as secondary reading for lectures and seminars at advanced levels.
Reviews / Votes
"A book based on 30 years of teaching experience and therefore didactically and logically composed."In: Enseignement Mathematique 2/2012 "In the reviewer's opinion, in view of the numerical study of nonlinear systems, this book would be very useful to, in particular, engineers, physicists and economists who want to study the systems in a numerical way." Mathematical Reviews "The main strength of this book is that the author includes complete proofs of results that other publications frequently leave to the reader. [.] Altogether, this text is for serious readers that would like a clean and rigorous introduction to the results and methods of proof in dynamical systems. It would make a valuable addition as a reference text to the collection of any academician working in related fields." Zentralblatt für MathematikMore details
Series
Language
English
Place of publication
Berlin/Boston
Germany
Target group
Professional and scholarly
US School Grade: College Graduate Student
Illustrations
7 s/w Abbildungen
7 b/w ill.
Dimensions
Height: 24 cm
Width: 17 cm
Weight
557 gr
ISBN-13
978-3-11-025595-9 (9783110255959)
Schweitzer Classification
Other editions
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Sergei Yu. Pilyugin
Spaces of Dynamical Systems
Book
02/2024
2nd Edition
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€210.00
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Additional editions
Sergei Yu. Pilyugin
Spaces of Dynamical Systems
Book
04/2012
1st Edition
De Gruyter
€209.00
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Sergei Yu. Pilyugin
Spaces of Dynamical Systems
E-Book
04/2012
1st Edition
De Gruyter
€164.95
Available for download
Person
Sergei Yu. Pilyugin, St. Petersburg State University, Russia.
Content
Frontmatter
Preface
Nomenclature
Contents
Chapter 1. Dynamical systems
Chapter 2. Topologies on spaces of dynamical systems
Chapter 3. Equivalence relations
Chapter 4. Hyperbolic fixed point
Chapter 5. Hyperbolic rest point and hyperbolic closed trajectory
Chapter 6. Transversality
Chapter 7. Hyperbolic sets
Chapter 8. Anosov diffeomorphisms
Chapter 9. Smale's horseshoe and chaos
Chapter 10. Closing Lemma
Chapter 11. C0-generic properties of dynamical systems
Chapter 12. Shadowing of pseudotrajectories in dynamical systems
Appendix A. Scheme of the proof of the Mañé theorem
Appendix B. Lectures on the history of differential equations and dynamical systems
Bibliography
Index
Preface
Nomenclature
Contents
Chapter 1. Dynamical systems
Chapter 2. Topologies on spaces of dynamical systems
Chapter 3. Equivalence relations
Chapter 4. Hyperbolic fixed point
Chapter 5. Hyperbolic rest point and hyperbolic closed trajectory
Chapter 6. Transversality
Chapter 7. Hyperbolic sets
Chapter 8. Anosov diffeomorphisms
Chapter 9. Smale's horseshoe and chaos
Chapter 10. Closing Lemma
Chapter 11. C0-generic properties of dynamical systems
Chapter 12. Shadowing of pseudotrajectories in dynamical systems
Appendix A. Scheme of the proof of the Mañé theorem
Appendix B. Lectures on the history of differential equations and dynamical systems
Bibliography
Index