MARC details
| 000 -LEADER |
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| fixed length control field |
02090cam a2200277 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
137966 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
ISI Library, Kolkata |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20171012122811.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
160322s2016 riua b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470427993 (hbk. : acidfree paper) |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
ISI Library |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.39 |
| Edition number |
23 |
| Item number |
W467 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Wen, Lan, |
| Relator term |
author |
| 245 10 - TITLE STATEMENT |
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| Title |
Differentiable dynamical systems : |
| Remainder of title |
an introduction to structural stability and hyperbolicity / |
| Statement of responsibility, etc |
Lan Wen. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc |
Providence : |
| Name of publisher, distributor, etc |
American Mathematical Society, |
| Date of publication, distribution, etc |
©2016. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xi, 192 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
26 cm. |
| 490 0# - SERIES STATEMENT |
|---|
| Series statement |
Graduate studies in mathematics ; |
| Volume number/sequential designation |
173. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
1. Basics of dynamical systems --<br/>2. Hyperbolic fixed points --<br/>3. Horseshoes, toral automorphisms, and solenoids --<br/>4. Hyperbolic sets --<br/>5. Axiom A, no-cycle condition, and Ω-stability --<br/>6. Quasi-hyperbolicity and linear transversality --<br/>Bibliography --<br/>Index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
This is a graduate text in differentiable dynamical systems. It focuses on structural stability and hyperbolicity, a topic that is central to the field. Starting with the basic concepts of dynamical systems, analyzing the historic systems of the Smale horseshoe, Anosov toral automorphisms, and the solenoid attractor, the book develops the hyperbolic theory first for hyperbolic fixed points and then for general hyperbolic sets. The problems of stable manifolds, structural stability, and shadowing property are investigated, which lead to a highlight of the book, the Ω-stability theorem of Smale.While the content is rather standard, a key objective of the book is to present a thorough treatment for some tough material that has remained an obstacle to teaching and learning the subject matter. The treatment is straightforward and hence could be particularly suitable for self-study. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Differential equations. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Nonlinear differential equations. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Dynamics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Exponential functions. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
