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ISBN: 9783540609346

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 necessar… Más…

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Nonlinear Differential Equations and Dynamical Systems (Universitext) - Verhulst, Ferdinand
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2013, ISBN: 9783540609346

Springer, Taschenbuch, Auflage: 2nd rev. and expanded ed., 3rd printing 2006, 316 Seiten, Publiziert: 2013-10-04T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 127 black & white illustra… Más…

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Verhulst, Ferdinand:
Nonlinear Differential Equations and Dynamical Systems (Universitext) - Pasta blanda

2013

ISBN: 9783540609346

Springer, Taschenbuch, Auflage: 2nd rev. and expanded ed., 3rd printing 2006, 316 Seiten, Publiziert: 2013-10-04T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 127 black & white illustra… Más…

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Verhulst, Ferdinand:
Nonlinear Differential Equations and Dynamical Systems (Universitext) - Pasta blanda

2013, ISBN: 9783540609346

Springer, Taschenbuch, Auflage: 2nd rev. and expanded ed., 3rd printing 2006, 316 Seiten, Publiziert: 2013-10-04T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 127 black & white illustra… Más…

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ISBN: 9783540609346

For lecture courses that cover the classical theory of nonlinear differential equations associated with Poincare and Lyapunov and introduce the student to the ideas of bifurcation theory … Más…

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Detalles del libro
Nonlinear Differential Equations and Dynamical Systems (Universitext)
Autor:
Título:
ISBN:

9783540609346


"A good book for a nice price!" (Monatshefte für Mathematik) "... for lecture courses that cover the classical theory of nonlinear differential equations associated with Poincaré and Lyapunov and introduce the student to the ideas of bifurcation theory and chaos this is an ideal text ..." (Mathematika) "The pedagogical style is excellent, consisting typically of an insightful overview followed by theorems, illustrative examples and exercises." (Choice)

Detalles del libro - Nonlinear Differential Equations and Dynamical Systems (Universitext)


EAN (ISBN-13): 9783540609346
ISBN (ISBN-10): 3540609342
Tapa dura
Tapa blanda
Año de publicación: 2006
Editorial: Springer
303 Páginas
Peso: 0,490 kg
Idioma: eng/Englisch

Libro en la base de datos desde 2007-06-12T10:29:50+02:00 (Madrid)
Página de detalles modificada por última vez el 2024-03-24T20:44:16+01:00 (Madrid)
ISBN/EAN: 9783540609346

ISBN - escritura alterna:
3-540-60934-2, 978-3-540-60934-6
Mode alterno de escritura y términos de búsqueda relacionados:
Autor del libro: verhulst, ferdinand springer, barbara zimmermann, lyapunov, poincare
Título del libro: nonlinear differential, dynamical systems and differential, differential equations, systems art, ferdinand

Datos del la editorial

Autor: Ferdinand Verhulst
Título: Universitext; Nonlinear Differential Equations and Dynamical Systems
Editorial: Springer; Springer Berlin
306 Páginas
Año de publicación: 1996-09-06
Berlin; Heidelberg; DE
Idioma: Inglés
64,19 € (DE)
65,99 € (AT)
71,00 CHF (CH)
Available
X, 306 p. 2 illus.

BC; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Chaos; averaging methods; bifurcation theory; differential equations; dynamical systems; dynamische Systeme; nonlinear systems; oscillations; Analysis; Dynamical Systems; Theoretical, Mathematical and Computational Physics; Complex Systems; Mathematical and Computational Engineering Applications; Kybernetik und Systemtheorie; Mathematische Physik; Mathematik für Ingenieure; BC; EA

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 periodicsolutions 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.
Includes supplementary material: sn.pub/extras
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