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Structurally unstable quadratic vect...

Artes, Joan C.

Structurally unstable quadratic vector fields of codimension one

Record Type:	Electronic resources : Monograph/item
Title/Author:	Structurally unstable quadratic vector fields of codimension oneby 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$q(electronic bk.)

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$q(electronic bk.)

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

183925
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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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.
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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 183925
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Ordinary Differential Equations. $3 273778
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 273794
700 1 $a Llibre, Jaume. $3 261593
700 1 $a Rezende, Alex C. $3 819233
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