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＜電子ブック＞
Structurally Unstable Quadratic Vector Fields of Codimension One / by Joan C. Artés, Jaume Llibre, Alex C. Rezende

版	1st ed. 2018.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2018
大きさ	VI, 267 p. 362 illus., 1 illus. in color : online resource
著者標目	*Artés, Joan C author Llibre, Jaume author Rezende, Alex C author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Dynamical systems FREE:Differential Equations FREE:Dynamical Systems
一般注記	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 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. HTTP:URL=https://doi.org/10.1007/978-3-319-92117-4

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