INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9789462390218
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
IR
Number
EN-52295
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
COUNTRY OF PUBLICATION OR PRODUCTlON
Country of publication
IR
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Ordinary Differential Equations and Dynamical System
General Material Designation
[Book]
Other Title Information
:[delta
First Statement of Responsibility
/ by Thomas C. Sideris
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Paris
Name of Publisher, Distributor, etc.
: Atlantis Press :Imprint: Atlantis Press,
Date of Publication, Distribution, etc.
, 2013.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
XI, 225 p. 11 illus., online resource.
SERIES
Series Title
(Atlantis Studies in Differential Equations,2214-6253
Volume Designation
; 2)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
CONTENTS NOTE
Text of Note
This book is a mathematically rigorous introduction to the beautiful subject of ordinary differential equations for beginning graduate or advanced undergraduate students. Students should have a solid background in analysis and linear algebra. The presentation emphasizes commonly used techniques without necessarily striving for completeness or for the treatment of a large number of topics. The first half of the book is devoted to the development of the basic theory: linear systems, existence and uniqueness of solutions to the initial value problem, flows, stability, and smooth dependence of solutions upon initial conditions and parameters. Much of this theory also serves as the paradigm for evolutionary partial differential equations. The second half of the book is devoted to geometric theory: topological conjugacy, invariant manifolds, existence and stability of periodic solutions, bifurcations, normal forms, and the existence of transverse homoclinic points and their link to chaotic dynamics. A common thread throughout the second part is the use of the implicit function theorem in Banach space. Chapter 5, devoted to this topic, the serves as the bridge between the two halves of the book.
Text of Note
Introduction -- Linear Systems -- Existence Theory -- Nonautomous Linear Systems -- Results from Functional Analysis -- Dependence on Initial Conditions and Parameters -- Linearization and Invariant Manifolds -- Periodic Solutions -- Center Manifolds and Bifurcation Theory -- The Birkhoff Smale Homoclinic Theorem -- Appendix: Results from Real Analysis.?╗╣
SERIES
Title
Atlantis Studies in Differential Equations,2214-6253
Volume Number
2
TOPICAL NAME USED AS SUBJECT
Mathematics
Differential Equations
Electronic books
LIBRARY OF CONGRESS CLASSIFICATION
Class number
E-BOOK
PERSONAL NAME - PRIMARY RESPONSIBILITY
Sideris, Thomas C.
PERSONAL NAME - SECONDARY RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Country
ایران
ELECTRONIC LOCATION AND ACCESS
Host name
9789462390201.pdf
Access number
عادی
Compression information
عادی
Date and Hour of Consultation and Access
9789462390201.pdf
Electronic Format Type
متن
old catalog
e
BL
1
a
Y
