| 000 -LEADER |
|---|
| fixed length control field |
02680nam a22004815i 4500 |
| 001 - CONTROL NUMBER |
|---|
| control field |
978-3-7643-8410-4 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20161121231133.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
|---|
| fixed length control field |
cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
100301s2007 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9783764384104 |
| -- |
978-3-7643-8410-4 |
| 024 7# - OTHER STANDARD IDENTIFIER |
|---|
| Standard number or code |
10.1007/978-3-7643-8410-4 |
| Source of number or code |
doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA372 |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
PBKJ |
| Source |
bicssc |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
MAT007000 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
515.352 |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Christopher, Colin. |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Limit Cycles of Differential Equations |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc. |
by Colin Christopher, Chengzhi Li. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Basel : |
| Name of producer, publisher, distributor, manufacturer |
Birkhäuser Basel, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2007. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
VIII, 171 p. |
| Other physical details |
online resource. |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
|---|
| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
|---|
| File type |
text file |
| Encoding format |
PDF |
| Source |
rda |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Advanced Courses in Mathematics CRM Barcelona |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Around the Center-Focus Problem -- Centers and Limit Cycles -- Darboux Integrability -- Liouvillian Integrability -- Symmetry -- Cherkas’ Systems -- Monodromy -- The Tangential Center-Focus Problem -- Monodromy of Hyperelliptic Abelian Integrals -- Holonomy and the Lotka-Volterra System -- Other Approaches -- Abelian Integrals and Applications to the Weak Hilbert’s 16th Problem -- Hilbert’s 16th Problem and Its Weak Form -- Abelian Integrals and Limit Cycles -- Estimate of the Number of Zeros of Abelian Integrals -- A Unified Proof of the Weak Hilbert’s 16th Problem for n=2. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
This textbook contains the lecture series originally delivered at the "Advanced Course on Limit Cycles of Differential Equations" in the Centre de Recerca Matemàtica Barcelona in 2006. The topics covered are the center-focus problem for polynomial vector fields, and the application of abelian integrals to limit cycle bifurcations. Both topics are related to Hilbert's sixteenth problem. In particular, the book will be of interest to students and researchers working in the qualitative theory of dynamical systems. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Dynamics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Ergodic theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Differential equations. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Mathematics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Ordinary Differential Equations. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Dynamical Systems and Ergodic Theory. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Li, Chengzhi. |
| Relator term |
author. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Printed edition: |
| International Standard Book Number |
9783764384098 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Advanced Courses in Mathematics CRM Barcelona |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-7643-8410-4 |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |
