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Nonlinear Differential Equations and Dynamical Systems

Name: Nonlinear Differential Equations and Dynamical Systems
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 01566100
Price: 23533 HUF
Availability: InStock
Author: Ferdinand Verhulst
ISBN: 9783540609346

Ferdinand Verhulst

Language

English

Book Paperback

Libristo code: 01566100

Publishers Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, September 1996

This book bridges the gap between elementary courses and the research literature. The basic concepts... Full description

Libristo code: 01566100

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23 533 Ft

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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.§Stability theory is developed starting with linearisation methods going back to Lyapunov and Poincar. The global direct method is then discussed. To obtain more quantitative information the Poincar -Lindstedt method is introduced to approximate periodic solutions while at the same time proving existence by the implicit function theorem. The method of averaging is introduced as a general approximation-normalisation method.§The last four chapters introduce the relaxation oscillations, bifurcation theory, centre manifolds, chaos in mappings and differential equations, Hamiltonian systems (recurrence, invariant tori, periodic solutions).