عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9783034807173
(Number (ISBN
9783034807180
NATIONAL BIBLIOGRAPHY NUMBER
Number
b406115
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem
General Material Designation
[Book]
First Statement of Responsibility
by Robert Roussarie.
EDITION STATEMENT
Edition Statement
1998. Reprint 2013 of the 1998 edition.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Basel :
Name of Publisher, Distributor, etc.
Imprint: Birkhäuser,
Date of Publication, Distribution, etc.
1998.
SERIES
Series Title
Modern Birkhäuser Classics,
ISSN of Series
2197-1803
CONTENTS NOTE
Text of Note
Preface -- 1 Families of Two-dimensional Vector Fields -- 2 Limit Periodic Sets -- 3 The 0-Parameter Case -- 4 Bifurcations of Regular Limit Periodic Sets -- 5 Bifurcations of Elementary Graphics -- 6 Desingularization Theory and Bifurcation of Non-elementary Limit Periodic Sets -- Bibliography -- Index.
0
SUMMARY OR ABSTRACT
Text of Note
In a coherent, exhaustive and progressive way, this book presents the tools for studying local bifurcations of limit cycles in families of planar vector fields. A systematic introduction is given to such methods as division of an analytic family of functions in its ideal of coefficients, and asymptotic expansion of non-differentiable return maps and desingularisation. The exposition moves from classical analytic geometric methods applied to regular limit periodic sets to more recent tools for singular limit sets. The methods can be applied to theoretical problems such as Hilbert's 16th problem, but also for the purpose of establishing bifurcation diagrams of specific families as well as explicit computations. - - - The book as a whole is awell-balanced exposition that can be recommended to all those who want to gain a thorough understanding and proficiency in recently developed methods. The book, reflecting the state of the art, can also be used for teaching special courses. (Mathematical Reviews)
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9783034807173
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Differentiable dynamical systems.
Differential equations, Partial.
Global analysis (Mathematics).
Global analysis.
Mathematics.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Roussarie, Robert.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190301074700.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
