National Science Library of Georgia

Planar Dynamical Systems : (Record no. 534968)

MARC details
000 -LEADER
fixed length control field 06231nam a22008775i 4500
001 - CONTROL NUMBER
control field 9783110298369
003 - CONTROL NUMBER IDENTIFIER
control field DE-B1597
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20200803184523.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
fixed length control field m|||||o||d||||||||
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr || ||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 190708s2014 gw fo d z eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783110298369
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1515/9783110298369
Source of number or code doi
035 ## - SYSTEM CONTROL NUMBER
System control number (DE-B1597)178987
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)1013941342
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)1037981853
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)1041994384
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)1046608003
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)1046998525
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)1049611575
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)1054880712
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)896804444
040 ## - CATALOGING SOURCE
Original cataloging agency DE-B1597
Language of cataloging eng
Transcribing agency DE-B1597
Description conventions rda
041 0# - LANGUAGE CODE
Language code of text/sound track or separate title eng
044 ## - COUNTRY OF PUBLISHING/PRODUCING ENTITY CODE
MARC country code gw
ISO country code DE
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA845
Item number .L58 2014eb
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT003000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 510
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Liu, Yirong,
Relator term author.
245 10 - TITLE STATEMENT
Title Planar Dynamical Systems :
Remainder of title Selected Classical Problems /
Statement of responsibility, etc Yirong Liu, Jibin Li, Wentao Huang.
264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R)
Place of production, publication, distribution, manufacture Berlin ;
-- Boston :
Name of producer, publisher, distributor, manufacturer De Gruyter,
Date of production, publication, distribution, manufacture, or copyright notice [2014]
264 #4 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R)
Date of production, publication, distribution, manufacture, or copyright notice ©2014
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (389 p.)
336 ## - Content Type (R)
Content type term (R) text
Content type code (R) txt
Source (NR) rdacontent
337 ## - Media Type (R)
Media type term (R) computer
Media type code (R) c
Source (NR) rdamedia
338 ## - Carrier Type (R)
Carrier type term (R) online resource
Carrier type code (R) cr
Source (NR) rdacarrier
347 ## -
-- text file
-- PDF
-- rda
505 00 - FORMATTED CONTENTS NOTE
Title Frontmatter --
-- Preface --
-- Contents --
-- Chapter 1. Basic Concept and Linearized Problem of Systems --
-- Chapter 2. Focal Values, Saddle Values and Singular Point Values --
-- Chapter 3. Multiple Hopf Bifurcations --
-- Chapter 4. Isochronous Center In Complex Domain --
-- Chapter 5. Theory of Center-Focus and Bifurcation of Limit Cycles at Infinity of a Class of Systems --
-- Chapter 6. Theory of Center-Focus and Bifurcations of Limit Cycles for a Class of Multiple Singular Points --
-- Chapter 7 On Quasi Analytic Systems --
-- Chapter 8. Local and Non-Local Bifurcations of Perturbed Zq-Equivariant Hamiltonian Vector Fields --
-- Chapter 9. Center-Focus Problem and Bifurcations of Limit Cycles for a Z2-Equivariant Cubic System --
-- Chapter 10. Center-Focus Problem and Bifurcations of Limit Cycles for Three-Multiple Nilpotent Singular Points --
-- Bibliography --
-- Index
506 0# - RESTRICTIONS ON ACCESS NOTE
Terms governing access Open Access
Uniform Resource Identifier <a href="https://purl.org/coar/access_right/c_abf2">https://purl.org/coar/access_right/c_abf2</a>
Standardized terminology for access restriction unrestricted online access
Source of term star
520 ## - SUMMARY, ETC.
Summary, etc In 2008, November 23-28, the workshop of "Classical Problems on Planar Polynomial Vector Fields " was held in the Banff International Research Station, Canada. Called "classical problems", it was concerned with the following: (1) Problems on integrability of planar polynomial vector fields. (2) The problem of the center stated by Poincaré for real polynomial differential systems, which asks us to recognize when a planar vector field defined by polynomials of degree at most n possesses a singularity which is a center. (3) Global geometry of specific classes of planar polynomial vector fields. (4) Hilbert's 16th problem. These problems had been posed more than 110 years ago. Therefore, they are called "classical problems" in the studies of the theory of dynamical systems. The qualitative theory and stability theory of differential equations, created by Poincaré and Lyapunov at the end of the 19th century, had major developments as two branches of the theory of dynamical systems during the 20th century. As a part of the basic theory of nonlinear science, it is one of the very active areas in the new millennium. This book presents in an elementary way the recent significant developments in the qualitative theory of planar dynamical systems. The subjects are covered as follows: the studies of center and isochronous center problems, multiple Hopf bifurcations and local and global bifurcations of the equivariant planar vector fields which concern with Hilbert's 16th problem. The book is intended for graduate students, post-doctors and researchers in dynamical systems. For all engineers who are interested in the theory of dynamical systems, it is also a reasonable reference. It requires a minimum background of a one-year course on nonlinear differential equations.
538 ## - SYSTEM DETAILS NOTE
System details note Mode of access: Internet via World Wide Web.
540 ## - TERMS GOVERNING USE AND REPRODUCTION NOTE
Terms governing use and reproduction This eBook is made available Open Access under a CC BY-NC-ND 4.0 license:
Uniform Resource Identifier <a href="https://creativecommons.org/licenses/by-nc-nd/4.0 ">https://creativecommons.org/licenses/by-nc-nd/4.0 </a>
-- <a href="https://www.degruyter.com/dg/page/open-access-policy">https://www.degruyter.com/dg/page/open-access-policy</a>
546 ## - LANGUAGE NOTE
Language note In English.
588 0# -
-- Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential equations.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Dynamics.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Center and isochronous center.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Dynamical Systems.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Hilbert's 16th problem.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Limit cycle.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Multiple Hopf and global bifurcations.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Planar Dynamical Systems.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Planar dynamical system.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element center problems.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element multiple Hopf bifurcations.
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element MATHEMATICS / Applied.
Source of heading or term bisacsh
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Huang, Wentao,
Relator term author.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Li, Jibin,
Relator term author.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Science Press.
773 08 - HOST ITEM ENTRY
Display text Title is part of eBook package:
Place, publisher, and date of publication De Gruyter
Title DGBA Backlist Complete English Language 2000-2014 PART1
International Standard Book Number 9783110238570
773 08 - HOST ITEM ENTRY
Display text Title is part of eBook package:
Place, publisher, and date of publication De Gruyter
Title DGBA Backlist Mathematics English Language 2000-2014
International Standard Book Number 9783110238471
773 08 - HOST ITEM ENTRY
Display text Title is part of eBook package:
Place, publisher, and date of publication De Gruyter
Title DGBA Mathematics 2000 - 2014
International Standard Book Number 9783110637205
Other item identifier ZDB-23-GMA
773 08 - HOST ITEM ENTRY
Display text Title is part of eBook package:
Place, publisher, and date of publication De Gruyter
Title EBOOK PACKAGE Complete Package 2014
International Standard Book Number 9783110369526
Other item identifier ZDB-23-DGG
773 08 - HOST ITEM ENTRY
Display text Title is part of eBook package:
Place, publisher, and date of publication De Gruyter
Title EBOOK PACKAGE Mathematics, Physics 2014
International Standard Book Number 9783110370355
Other item identifier ZDB-23-DEM
776 0# - ADDITIONAL PHYSICAL FORM ENTRY
Qualifying information EPUB
International Standard Book Number 9783110389142
776 0# - ADDITIONAL PHYSICAL FORM ENTRY
Qualifying information print
International Standard Book Number 9783110298291
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1515/9783110298369">https://doi.org/10.1515/9783110298369</a>
Public note Open Access
856 42 - ELECTRONIC LOCATION AND ACCESS
Materials specified Cover
Uniform Resource Identifier <a href="https://www.degruyter.com/doc/cover/9783110298369.jpg">https://www.degruyter.com/doc/cover/9783110298369.jpg</a>
912 ## -
-- 978-3-11-023847-1 DGBA Backlist Mathematics English Language 2000-2014
-- 2000
-- 2014
912 ## -
-- DGBA Backlist Complete English Language 2000-2014
-- 2000
-- 2014
912 ## -
-- GBV-deGruyter-alles
912 ## -
-- ZDB-23-DEM
-- 2014
912 ## -
-- ZDB-23-DGG
-- 2014
912 ## -
-- ZDB-23-GMA
-- 2000
-- 2014
912 ## -
-- ZDB-23-GOA

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