Structurally Unstable Quadratic Vector Fields of Codimension One
Published on 28. June 2018
VI, 267 pages
978-3-319-92117-4 (ISBN)
Description
Originating from research in the qualitative theory of ordinary differential equations, this book follows the authors' work on structurally stable planar quadratic polynomial differential systems. In the present work the authors aim at finding all possible phase portraits in the Poincaré disc, modulo limit cycles, of planar quadratic polynomial differential systems manifesting the simplest level of structural instability. They prove that there are at most 211 and at least 204 of them.
More details
Series
Edition
1st ed. 2018
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
VI, 267 p. 362 illus., 1 illus. in color.
File size
13,18 MB
ISBN-13
978-3-319-92117-4 (9783319921174)
DOI
10.1007/978-3-319-92117-4
Schweitzer Classification
Other editions
Additional editions
Joan C. Artés | Jaume Llibre | Alex C. Rezende
Structurally Unstable Quadratic Vector Fields of Codimension One
Book
07/2018
Birkhäuser
€53.49
Shipment within 10-15 days
Content
Introduction.- Preliminary definitions.- Some preliminary tools.- A summary for the structurally stable quadratic vector fields.- Proof of Theorem 1.1(a).- Proof of Theorem 1.1(b).- Bibliography.
