Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations (Record no. 54777)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02290nam a22002537a 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 210322b ||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780521475723 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.352 |
| Item number | PAL |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Palis, J. |
| 245 ## - TITLE STATEMENT | |
| Title | Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Cambridge: |
| Name of publisher, distributor, etc | Cambridge University Press, |
| Date of publication, distribution, etc | 1993. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | x, 234 p. : ill. ; |
| Other physical details | pb. ; |
| Dimensions | 24 cm. |
| 365 ## - TRADE PRICE | |
| Price type code | GBP |
| Price amount | 61.99 |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Cambridge studies in advanced mathematics ; 35 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes Bibliography and Index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This is a self-contained introduction to the classical theory of homoclinic bifurcation theory, as well as its generalizations and more recent extensions to higher dimensions. It is also intended to stimulate new developments, relating the theory of fractal dimensions to bifurcations, and concerning homoclinic bifurcations as generators of chaotic dynamics. To this end the authors finish the book with an account of recent research and point out future prospects. The book begins with a review chapter giving background material on hyperbolic dynamical systems. The next three chapters give a detailed treatment of a number of examples, Smale's description of the dynamical consequences of transverse homoclinic orbits and a discussion of the subordinate bifurcations that accompany homoclinic bifurcations, including Hénon-like families. The core of the work is the investigation of the interplay between homoclinic tangencies and non-trivial basic sets. The fractal dimensions of these basic sets turn out to play an important role in determining which class of dynamics is prevalent near a bifurcation. The authors provide a new, more geometric proof of Newhouse's theorem on the coexistence of infinitely many periodic attractors, one of the deepest theorems in chaotic dynamics. Based on graduate courses, this unique book will be an essential purchase for students and research workers in dynamical systems, and also for scientists and engineers applying ideas from chaos theory and nonlinear dynamics. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Bifurcation theory |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Chaotic behavior in systems |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differentiable dynamical systems |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Analysis |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Takens, F. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Item type | Books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Home library | Current library | Shelving location | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date last seen | Copy number | Cost, replacement price | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | General | IIT Gandhinagar | IIT Gandhinagar | General Stacks | 22/03/2021 | Himanshu Books | 6455.64 | 515.352 PAL | 030113 | 22/03/2021 | 1 | 6455.64 | Books |
