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Structurally unstable quadratic vector fields of codimension one

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Structurally unstable quadratic vector fields of codimension one/ by Joan C. Artes, Jaume Llibre, Alex C. Rezende.
Author:	Artes, Joan C.
other author:	Llibre, Jaume.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	vi, 267 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Differential equations. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-92117-4
ISBN:	9783319921174

Structurally unstable quadratic vector fields of codimension one
Artes, Joan C.

Structurally unstable quadratic vector fields of codimension one[electronic resource] /by Joan C. Artes, Jaume Llibre, Alex C. Rezende. - Cham :Springer International Publishing :2018. - vi, 267 p. :ill. (some col.), digital ;24 cm.

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.

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 Poincare 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.

ISBN: 9783319921174

Standard No.: 10.1007/978-3-319-92117-4doiSubjects--Topical Terms:

527664
Differential equations.

LC Class. No.: QA372 / .A783 2018

Dewey Class. No.: 515.352

Structurally unstable quadratic vector fields of codimension one
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100 1 $a Artes, Joan C. $3 1206439
245 1 0 $a Structurally unstable quadratic vector fields of codimension one $h [electronic resource] / $c by Joan C. Artes, Jaume Llibre, Alex C. Rezende.
260 $a Cham : $c 2018. $b Springer International Publishing : $b Imprint: Birkhauser,
300 $a vi, 267 p. : $b ill. (some col.), digital ; $c 24 cm.
505 0 $a 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.
520 $a 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 Poincare 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.
650 0 $a Differential equations. $3 527664
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Ordinary Differential Equations. $3 670854
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 671353
700 1 $a Llibre, Jaume. $3 1021384
700 1 $a Rezende, Alex C. $3 1206440
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-92117-4
950 $a Mathematics and Statistics (Springer-11649)

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