Shadowing and hyperbolicity / (Record no. 424538)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02020nam a22002535i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 138242 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | ISI Library, Kolkata |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20180328122743.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 170728s2017 nyu 000 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783319651835 (alk. paper) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | ISI Library |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.3535 |
| Edition number | 23 |
| Item number | P643 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Pilyugin, Sergei Yu., |
| Relator term | author |
| 245 10 - TITLE STATEMENT | |
| Title | Shadowing and hyperbolicity / |
| Statement of responsibility, etc | Sergei Yu. Pilyugin and Kazuhiro Sakai. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Cham : |
| Name of publisher, distributor, etc | Springer, |
| Date of publication, distribution, etc | 2017. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiv, 216 pages : |
| Other physical details | illustrations ; |
| Dimensions | 24 cm. |
| 490 0# - SERIES STATEMENT | |
| Series statement | Lecture notes in mathematics ; |
| Volume number/sequential designation | 2193. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Include index and bibliographical references and index. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. Main Definitions and Basic Results.- <br/>2. Lipschitz and Holder Shadowing and Structural Stability.- <br/>3. C1 interiors of Sets of Systems with Various Shadowing Properties.- <br/>4. Chain Transitive Sets and Shadowing.- <br/>References.- <br/>Index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book surveys recent progress in establishing relations between shadowing and such basic notions from the classical theory of structural stability as hyperbolicity and transversality.<br/>Special attention is given to the study of "quantitative" shadowing properties, such as Lipschitz shadowing (it is shown that this property is equivalent to structural stability both for diffeomorphisms and smooth flows), and to the passage to robust shadowing (which is also equivalent to structural stability in the case of diffeomorphisms, while the situation becomes more complicated in the case of flows).<br/>Relations between the shadowing property of diffeomorphisms on their chain transitive sets and the hyperbolicity of such sets are also described.<br/>The book will allow young researchers in the field of dynamical systems to gain a better understanding of new ideas in the global qualitative theory. It will also be of interest to specialists in dynamical systems and their applications. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Hyperbolic equations. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Sakai, Kazuhiro, |
| Relator term | author |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | Books |
| Lost status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|---|---|---|
| ISI Library, Kolkata | ISI Library, Kolkata | 14/03/2018 | 424 | 3240.49 | 515.3535 P643 | 138242 | Books |
