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Concerning the Hilbert 16th Problem
 
Edited by: Yu. Ilyashenko Moscow State University
S. Yakovenko Weizmann Institute of Science
Front Cover for Concerning the Hilbert 16th Problem
Available Formats:
Hardcover ISBN: 978-0-8218-0362-2
Product Code: TRANS2/165
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
Electronic ISBN: 978-1-4704-3376-5
Product Code: TRANS2/165.E
List Price: $122.00
MAA Member Price: $109.80
AMS Member Price: $97.60
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This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $195.00
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  • Front Cover for Concerning the Hilbert 16th Problem
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Concerning the Hilbert 16th Problem
Edited by: Yu. Ilyashenko Moscow State University
S. Yakovenko Weizmann Institute of Science
Available Formats:
Hardcover ISBN:  978-0-8218-0362-2
Product Code:  TRANS2/165
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
Electronic ISBN:  978-1-4704-3376-5
Product Code:  TRANS2/165.E
List Price: $122.00
MAA Member Price: $109.80
AMS Member Price: $97.60
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $195.00
MAA Member Price: $175.50
AMS Member Price: $156.00
  • Book Details
     
     
    American Mathematical Society Translations - Series 2
    Advances in the Mathematical Sciences
    Volume: 1651995; 219 pp
    MSC: Primary 34;

    This book examines qualitative properties of vector fields in the plane, in the spirit of Hilbert's Sixteenth Problem. Two principal topics explored are bifurcations of limit cycles of planar vector fields and desingularization of singular points for individual vector fields and for analytic families of such fields. In addition to presenting important new developments in this area, this book contains an introductory paper which outlines the general context and describes connections between the papers in the volume. The book will appeal to researchers and graduate students working in the qualitative theory of ordinary differential equations and dynamical systems.

    Readership

    Researchers and graduate students working in the qualitative theory of ordinary differential equations.

  • Table of Contents
     
     
    • Cover
    • Title page
    • Copyright page
    • Contents
    • Concerning the Hilbert sixteenth problem
    • Finite cyclicity of elementary polycycles in generic families
    • Desingularization in families of analytic differential equations
    • Order of the topologically sufficient jet of a smooth vector field on the real plane at a singular point of finite multiplicity
    • On few-parameter generic families of vector fields on the two-dimensional sphere
    • A geometric proof of the Bautin theorem
    • Back Cover
  • Request Review Copy
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Advances in the Mathematical Sciences
Volume: 1651995; 219 pp
MSC: Primary 34;

This book examines qualitative properties of vector fields in the plane, in the spirit of Hilbert's Sixteenth Problem. Two principal topics explored are bifurcations of limit cycles of planar vector fields and desingularization of singular points for individual vector fields and for analytic families of such fields. In addition to presenting important new developments in this area, this book contains an introductory paper which outlines the general context and describes connections between the papers in the volume. The book will appeal to researchers and graduate students working in the qualitative theory of ordinary differential equations and dynamical systems.

Readership

Researchers and graduate students working in the qualitative theory of ordinary differential equations.

  • Cover
  • Title page
  • Copyright page
  • Contents
  • Concerning the Hilbert sixteenth problem
  • Finite cyclicity of elementary polycycles in generic families
  • Desingularization in families of analytic differential equations
  • Order of the topologically sufficient jet of a smooth vector field on the real plane at a singular point of finite multiplicity
  • On few-parameter generic families of vector fields on the two-dimensional sphere
  • A geometric proof of the Bautin theorem
  • Back Cover
Please select which format for which you are requesting permissions.