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Item Details
Title: QUALITATIVE THEORY OF PLANAR DIFFERENTIAL SYSTEMS
By: Freddy Dumortier, Jaume Llibre, Joan C. Artes
Format: Paperback

List price: £39.99


We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10: 3540328939
ISBN 13: 9783540328933
Publisher: SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG
Pub. date: 6 September, 2006
Edition: 2006 ed.
Series: Universitext
Pages: 302
Description: This book explores systems of polynomial autonomous ordinary differential equations in two real variables, emphasizing the qualitative without neglecting more algebraic aspects. Late chapters introduce the performant software tool P4. Provides simple and appropriate proofs, and numerous exercises.
Synopsis: This book deals with systems of polynomial autonomous ordinary differential equations in two real variables. The emphasis is mainly qualitative, although attention is also given to more algebraic aspects as a thorough study of the center/focus problem and recent results on integrability. In the last two chapters the performant software tool P4 is introduced. From the start, differential systems are represented by vector fields enabling, in full strength, a dynamical systems approach. All essential notions, including invariant manifolds, normal forms, desingularization of singularities, index theory and limit cycles, are introduced and the main results are proved for smooth systems with the necessary specifications for analytic and polynomial systems.
Illustrations: 10 Tables, black and white; 123 Illustrations, black and white; XVI, 302 p.
Publication: Germany
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Returns: Returnable
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