Differential Equations and Dynamical Systems

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Sprache: Englisch

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Beschreibung

This textbook, ideal for students and lecturers alike, is nothing less than a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems. Although the main topic of the book is the local and global behavior of nonlinear systems and their bifurcations, a thorough treatment of linear systems is given at the beginning of the text. All the material necessary for a clear understanding of the qualitative behavior of dynamical systems is contained in this textbook, including an outline of the proof and examples illustrating the proof of the Hartman-Grobman theorem. In addition to minor corrections and updates throughout, this new edition includes materials on higher order Melnikov theory and the bifurcation of limit cycles for planar systems of differential equations, including new sections on Francoise's algorithm for higher order Melnikov functions and on the finite codimension bifurcations that occur in the class of bounded quadratic systems.

Zusammenfassung

Inhaltsverzeichnis

Series Preface.- Preface to the Third Edition.- Linear Systems.- Nonlinear Systems: Local Theory.- Nonlinear Systems: Global Theory.- Nonlinear Systems: Bifurcation Theory.- References.- Additional References.- Index.

Details

Erscheinungsjahr:	2013
Fachbereich:	Analysis
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Texts in Applied Mathematics
Inhalt:	xiv 557 S. 11 s/w Illustr. 557 p. 11 illus.
ISBN-13:	9781461265269
ISBN-10:	1461265266
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Perko, Lawrence
Auflage:	Third Edition 2001
Hersteller:	Humana Springer Springer US, New York, N.Y. Texts in Applied Mathematics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 31 mm
Von/Mit:	Lawrence Perko
Erscheinungsdatum:	14.11.2013
Gewicht:	0,861 kg