| 000 -LEADER |
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| fixed length control field |
03129nam a2200253Ia 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20241231114613.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
170926s2003 xx 000 0 und d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780387001777 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
ICTS-TIFR |
| 050 ## - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA614.8 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Stephen Wiggins |
| 245 #0 - TITLE STATEMENT |
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| Title |
Introduction to applied nonlinear dynamical systems and chaos |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Name of publisher, distributor, etc. |
Springer-Verlag, |
| Date of publication, distribution, etc. |
[c2003] |
| Place of publication, distribution, etc. |
Heidelberg: |
| 300 ## - Physical Description |
|---|
| Pages: |
843 p. |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
Texts in Applied Mathematics |
| Volume/sequential designation |
Vol. 2 |
| 505 ## - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Introduction<br/>1. Equilibrium Solutions, Stability, and Linearized Stability<br/>2. Liapunov Functions<br/>3. Invariant Manifolds: Linear and Nonlinear Systems<br/>4. Periodic Orbits<br/>5. Vector Fields Possessing an Integral<br/>6. Index Theory<br/>7. Some General Properties of Vector Fields: Existence, Uniqueness, Differentiability, and Flows<br/>8. Asymptotic Behavior<br/>9. The Poincaré-Bendixson Theorem<br/>10. Poincaré Maps<br/>11. Conjugacies of Maps, and Varying the Cross-Section<br/>12. Structural Stability, Genericity, and Transversality<br/>13. Lagrange’s Equations<br/>14. Hamiltonian Vector Fields<br/>15. Gradient Vector Fields<br/>16. Reversible Dynamical Systems<br/>17. Asymptotically Autonomous Vector Fields<br/>18. Center Manifolds<br/>19. Normal Forms<br/>20. Bifurcation of Fixed Points of Vector Fields<br/>21. Bifurcations of Fixed Points of Maps<br/>22. On the Interpretation and Application of Bifurcation Diagrams: A Word of Caution<br/>23. The Smale Horseshoe<br/>24. Symbolic Dynamics<br/>25. The Conley-Moser Conditions, or “How to Prove That a Dynamical System is Chaotic”<br/>26. Dynamics Near Homoclinic Points of Two-Dimensional Maps<br/>27. Orbits Homoclinic to Hyperbolic Fixed Points in Three-Dimensional Autonomous Vector Fields<br/>28. Melnikov–s Method for Homoclinic Orbits in Two-Dimensional, Time-Periodic Vector Fields<br/>29. Liapunov Exponents<br/>30. Chaos and Strange Attractors<br/>31. Hyperbolic Invariant Sets: A Chaotic Saddle<br/>32. Long Period Sinks in Dissipative Systems and Elliptic Islands in Conservative Systems<br/>33. Global Bifurcations Arising from Local Codimension—Two Bifurcations |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in - search and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as nume- cal and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. --- summary provided by publisher |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Dynamical system |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Nonlinear dynamics |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://link.springer.com/book/10.1007/b97481?page=2#keywords">https://link.springer.com/book/10.1007/b97481?page=2#keywords</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Koha item type |
Book |
