Nonlinear Differential Equations and Dynamical Systems

Verhulst, F.

ISBN 10: 0387506284 ISBN 13: 9780387506289
Published by Springer Verlag, 1990
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This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. Clean from markings In fair condition, suitable as a study copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,600grams, ISBN:0387506284. Seller Inventory # 8857039

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Nonlinear Differential Equations And Dynamical Systems (universitext)

From the Back Cover: On the subject of differential equations many elementary books have been written. This book bridges the gap between elementary courses and research literature. The basic concepts necessary to study differential equations - critical points and equilibrium, periodic solutions, invariant sets and invariant manifolds - are discussed first. Stability theory is then developed starting with linearisation methods going back to Lyapunov and Poincaré. In the last four chapters more advanced topics like relaxation oscillations, bifurcation theory, chaos in mappings and differential equations, Hamiltonian systems are introduced, leading up to the frontiers of current research: thus the reader can start to work on open research problems, after studying this book. This new edition contains an extensive analysis of fractal sets with dynamical aspects like the correlation- and information dimension. In Hamiltonian systems, topics like Birkhoff normal forms and the Poincaré-Birkhoff theorem on periodic solutions have been added. There are now 6 appendices with new material on invariant manifolds, bifurcation of strongly nonlinear self-excited systems and normal forms of Hamiltonian systems. The subject material is presented from both the qualitative and the quantitative point of view, and is illustrated by many examples.

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Bibliographic Details

Title: Nonlinear Differential Equations and ...
Publisher: Springer Verlag
Publication Date: 1990
Binding: Soft cover
Condition: Fair

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Verhulst, Ferdinand
Published by Springer-Verlag, New York, 1990
ISBN 10: 0387506284 ISBN 13: 9780387506289
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Softcover. Condition: Near Fine. First English Edition. Yellow card covers, book as new ; A bright, solid book, text unmarked; Universitext; 9.40 X 6.40 X 0.80 inches; 277 pages; "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 Poincaré, before moving on to the global direct method. The Poincaré-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.". Seller Inventory # 17837

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Verhulst, Ferdinand
ISBN 10: 0387506284 ISBN 13: 9780387506289
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Ebendt Rudiger; Fey Goerschwin; Rolf Drechsler
Published by Springer, 2008
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Ferdinand Verhulst
Published by Springer, 1990
ISBN 10: 0387506284 ISBN 13: 9780387506289
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Verhulst, Ferdinand
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ISBN 10: 0387506284 ISBN 13: 9780387506289
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Paperback. Condition: Near Fine. "This book bridges the gap between elementary courses and the research literature. The basic concepts necessary to study differential equations- critical points and equilibrium, periodic solutions, invariant sets and invariant manifolds-are discussed first." 277 pages; 6 1/2 x 9 1/2". Seller Inventory # 18241

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Soft cover. Condition: New. 1st Edition. Springer-Verlag, 1990. New Softcover. 9.5"x6.5". be47. Seller Inventory # ABE-1708237182121

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