Differential equations and dynamical systems (Record no. 36671)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02245 a2200277 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | NISER |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20260210160528.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 260210b |||||||| |||| 00| 0 hin d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780387951164 |
| Qualifying information | Hardback |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | NISER LIBRARY |
| Language of cataloging | eng |
| Transcribing agency | NISER LIBRARY |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 517.93 |
| Item number | PER-D |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Perko, Lawrence |
| 245 10 - TITLE STATEMENT | |
| Title | Differential equations and dynamical systems |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 3rd edition |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | New York : |
| Name of publisher, distributor, etc. | Springer, |
| Date of publication, distribution, etc. | 2001. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiv, 555 pages : |
| Other physical details | illustrations ; |
| Dimensions | 25 cm. |
| 490 ## - SERIES STATEMENT | |
| Series statement | Texts in applied mathematics ; |
| Volume/sequential designation | 7 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references (p. [539]-545 and index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This textbook presents a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems. Although the main topic of the book is the local and global behavior of nonlinear systems and their bifurcations, a thorough treatment of linear systems is given at the beginning of the text. All the material necessary for a clear understanding of the qualitative behavior of dynamical systems is contained in this textbook, including an outline of the proof and examples illustrating the proof of the Hartman-Grobman theorem, the use of the Poincare map in the theory of limit cycles, the theory of rotated vector fields and its use in the study of limit cycles and homoclinic loops, and a description of the behavior and termination of one-parameter families of limit cycles. In addition to minor corrections and updates throughout, this new edition contains materials on higher order Melnikov functions and the bifurcation of limit cycles for planar systems of differential equations, including new sections on Francoise's algorithm for higher order Melnikov functions and on the finite codimension bifurcations that occur in the class of bounded quadratic systems. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differential equations, Nonlinear |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differentiable dynamical systems |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Fluid- and aerodynamics |
| 856 41 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Table of contents |
| Uniform Resource Identifier | <a href="https://link.springer.com/content/pdf/bfm:978-1-4613-0003-8/1">https://link.springer.com/content/pdf/bfm:978-1-4613-0003-8/1</a> |
| 856 41 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Reviews |
| Uniform Resource Identifier | <a href="https://www.goodreads.com/book/show/1812881.Differential_Equations_and_Dynamical_Systems#CommunityReviews">https://www.goodreads.com/book/show/1812881.Differential_Equations_and_Dynamical_Systems#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Book |
| Source of classification or shelving scheme | Universal Decimal Classification |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date last seen | Cost, replacement price | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Universal Decimal Classification | NISER LIBRARY | NISER LIBRARY | 10/02/2026 | 24 | 5596.70 | 517.93 PER-D | 26471 | 10/02/2026 | 7462.27 | 10/02/2026 | Book |