Nonlinear Differential Equations and Dynamical Systems - Couverture souple

Livre 137 sur 261: Universitext

Verhulst, Ferdinand

 
9783540506287: Nonlinear Differential Equations and Dynamical Systems
Couverture souple
ISBN 10 : 3540506284 ISBN 13 : 9783540506287
Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1990

Synopsis

Bridging the gap between elementary courses and the research literature in this field, the book covers the basic concepts necessary to study differential equations. Stability theory is developed, starting with linearisation methods going back to Lyapunov and Poincare, before moving on to the global direct method. The Poincare-Lindstedt method is introduced to approximate periodic solutions, while at the same time proving existence by the implicit function theorem. The final part covers relaxation oscillations, bifurcation theory, centre manifolds, chaos in mappings and differential equations, and Hamiltonian systems. The subject material is presented from both the qualitative and the quantitative point of view, with many examples to illustrate the theory, enabling the reader to begin research after studying this book.

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À propos de l?auteur

Ferdinand Verhulst was born in Amsterdam, The Netherlands, in 1939. He graduated at the University of Amsterdam in Astrophysics and Mathematics. A period of five years at the Technological University of Delft, started his interest in technological problems, resulting in various cooperations with engineers. His other interests include the methods and applications of asymptotic analysis, nonlinear oscillations and wave theory. He holds a chair of dynamical systems at the department of mathematics at the University of Utrecht. Among his other interests are a publishing company, Epsilon Uitgaven, that he founded in 1985, and the relation between dynamical systems and psychoanalysis. For more information see www.math.uu.nl/people/verhulst

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Date d'édition
1990
Langue
anglais
ISBN 10 
3540506284
ISBN 13 
9783540506287
Reliure
Broché
Nombre de pages
292
Coordonnées du fabricant
non disponible
Personne responsable
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