Geometric Methods for Discrete Dynamical Systems (Record no. 1952)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02872nam a22001697a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20230921094415.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 230921b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780195085457 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.352 |
| Item number | GEO |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Robert W. Easton |
| 245 ## - TITLE STATEMENT | |
| Title | Geometric Methods for Discrete Dynamical Systems |
| Statement of responsibility, etc. | Robert W. Easton |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Newyork |
| Name of publisher, distributor, etc. | Oxford University Press |
| Date of publication, distribution, etc. | 1998 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Page number | 157p |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Title | 1 Examples; A. Logistic Maps; B. Graphical Analysis; C. Hénon Maps; D. The Standard Map Family; E. Arnold's Circle Maps; F. Quadratic Maps; G. Duffing's Equation; H. Interesting Maps; I. Problems; J. Further Reading; 2 Dynamical Systems; A. Discrete and Continuous Dynamical Systems; B. Omega Limit Sets; C. Epsilon Chains; D. The Conley Decomposition Theorem; E. Directed Graphs; F. Local Analysis of Orbits; G. Summary; H. Problems; I. Further Reading; 3 Hyperbolic Fixed Points; A. Linearization; B. Stable and Unstable Manifolds; C. Shadowing and Structural Stability. D. The Hartman- Grobman TheoremE. Smale's Horseshoe Map and Symbolic Dynamics; F. Hyperbolic Invariant Sets; G. Trellis Structure and Resonance Zones; H. Topological Entropy; I. Problems; J. Further Reading; 4 Isolated Invariant Sets and Isolating Blocks; A. Attracting Sets; B. Isolated Invariant Sets and Isolating Blocks; C. Constructing Isolating Blocks; D. Basic Sets; E. Symbolic Dynamics; F. Filtrations of Isolated Invariant Sets; G. Stacks of Isolating Blocks; H. Calculating Directed Graphs; I. Further Reading; 5 The Conley Index; A. The Conley Index of an Isolating Block. B. Continuation of Isolated Invariant SetsC. The Homology Conley Index; D. References; 6 Symplectic Maps; A. Linear Symplectic Maps; B. Classical Mechanics; C. Variational Principles; D. Generating Functions; E. Symplectic Integrators; F. Separatrix Movement; G. Normal Forms; H. Problems; I. Further Reading; 7 Invariant Measures; A. Measure Spaces; B. Invariant Measures; C. Further Reading; Appendix A: Metric Spaces; A. Definitions; B. The Hausdorff Metric; C. Fractals; Appendix B: Numerical Methods for Ordinary Differential Equations. Appendix C: Tangent Bundles, Manifolds, and Differential FormsAppendix D: Symplectic Manifolds; Appendix E: Algebraic Topology; References |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This book looks at dynamics as an iteration process where the output of a function is fed back as an input to determine the evolution of an initial state over time. The theory examines errors which arise from round-off in numerical simulations, from the inexactness of mathematical models used to describe physical processes, and from the effects of external controls. The author provides an introduction accessible to beginning graduate students and emphasizing geometric aspects of the theory. Conley's ideas about rough orbits and chain-recurrence play a central role in the treatment. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | Books |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) | |
| -- | 5885 |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) | |
| -- | 5886 |
| 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 | Inventory number | Total Checkouts | Full call number | Barcode | Date last seen | Cost, replacement price | Price effective from | Currency | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | Non-fiction | IIITDM Kurnool | IIITDM Kurnool | General Stacks | 21.09.2023 | Narendra Publishing House | 175.00 | NPH/23-24/IN-00213 DT 13/09/2023 | 515.352 GEO | 0005196 | 21.09.2023 | 175.00 | 21.09.2023 | GBP | Books | |||||
| Dewey Decimal Classification | Reference | Non-fiction | IIITDM Kurnool | IIITDM Kurnool | Reference | 21.09.2023 | Narendra Publishing House | 175.00 | NPH/23-24/IN-00213 DT 13/09/2023 | 515.352 GEO | 0005197 | 21.09.2023 | 175.00 | 21.09.2023 | GBP | Reference |