MARC details
| 000 -LEADER |
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| fixed length control field |
02313nmm a22002655i 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20230705150632.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
131112s2001 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781461300038 |
| -- |
978-1-4613-0003-8 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515 |
| Edition number |
23 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Perko, Lawrence. |
| 9 (RLIN) |
20164 |
| 245 ## - TITLE STATEMENT |
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| Title |
Differential Equations and Dynamical Systems |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc. |
by Lawrence Perko. |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
3rd ed. 2001. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Place of publication, distribution, etc. |
New York, NY : |
| Name of publisher, distributor, etc. |
Springer New York : |
| -- |
Imprint: Springer, |
| Date of publication, distribution, etc. |
2001. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XIV, 557 p. 11 illus. |
| Other physical details |
online resource. |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Series Preface -- Preface to the Third Edition -- Linear Systems -- Nonlinear Systems: Local Theory -- Nonlinear Systems: Global Theory -- Nonlinear Systems: Bifurcation Theory -- References -- Additional References -- 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 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Mathematical analysis. |
| 9 (RLIN) |
20165 |
|
|---|
| Topical term or geographic name entry element |
Continuum mechanics. |
| 9 (RLIN) |
20166 |
|
|---|
| Topical term or geographic name entry element |
Mechanics. |
| 9 (RLIN) |
20167 |
|
|---|
| Topical term or geographic name entry element |
Analysis. |
| 9 (RLIN) |
20168 |
|
|---|
| Topical term or geographic name entry element |
Continuum Mechanics. |
| 9 (RLIN) |
20169 |
|
|---|
| Topical term or geographic name entry element |
Classical Mechanics. |
| 9 (RLIN) |
20170 |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://doi.org/10.1007/978-1-4613-0003-8">https://doi.org/10.1007/978-1-4613-0003-8</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
e-Book |
