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Structurally unstable quadratic vect...

Artes, Joan C.

Structurally unstable quadratic vector fields of codimension one

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Structurally unstable quadratic vector fields of codimension oneby Joan C. Artes, Jaume Llibre, Alex C. Rezende.
作者:	Artes, Joan C.
其他作者:	Llibre, Jaume.
出版者:	Cham :Springer International Publishing :2018.
面頁冊數:	vi, 267 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	Differential equations.
電子資源:	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

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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.
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