Nonlinear Dynamics and Chaotic Phenomena

Language: English

Published by Springer Netherlands, Springer Netherlands Nov 1997, 1997

0792347722 / 9780792347729

Series: Book 36 of 136 - Fluid Mechanics and Its Applications

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Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germanybuchversandmimpf2000

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This item is printed on demand - Print on Demand Titel. Neuware -FolJowing the formulation of the laws of mechanics by Newton, Lagrange sought to clarify and emphasize their geometrical character. Poincare and Liapunov successfuIJy developed analytical mechanics further along these lines. In this approach, one represents the evolution of all possible states (positions and momenta) by the flow in phase space, or more efficiently, by mappings on manifolds with a symplectic geometry, and tries to understand qualitative features of this problem, rather than solving it explicitly. One important outcome of this line of inquiry is the discovery that vastly different physical systems can actually be abstracted to a few universal forms, like Mandelbrot's fractal and Smale's horse-shoe map, even though the underlying processes are not completely understood. This, of course, implies that much of the observed diversity is only apparent and arises from different ways of looking at the same system. Thus, modern nonlinear dynamics 1 is very much akin to classical thermodynamics in that the ideas and results appear to be applicable to vastly different physical systems. Chaos theory, which occupies a central place in modem nonlinear dynamics, refers to a deterministic development with chaotic outcome. Computers have contributed considerably to progress in chaos theory via impressive complex graphics. However, this approach lacks organization and therefore does not afford complete insight into the underlying complex dynamical behavior. This dynamical behavior mandates concepts and methods from such areas of mathematics and physics as nonlinear differential equations, bifurcation theory, Hamiltonian dynamics, number theory, topology, fractals, and others.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 428 pp. Englisch. …

Seller Inventory # 9780792347729

Title
Nonlinear Dynamics and Chaotic Phenomena
Author
B. K Shivamoggi
Publisher
Springer Netherlands, Springer Netherlands Nov 1997
Publication year
1997
Condition
Neu
Binding
Buch
Language
English
ISBN 10
0792347722
ISBN 13
9780792347729
Item weight
805 grams
Dimensions
241x160x28 mm
Series
Book 36 of 136: Fluid Mechanics and Its Applications

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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Impressum Thorsten Retsch Buchversand Mimpf2000 Oberölschnitz 16 95517 Emtmannsberg Deutschland Telefon: 09209-2023188 Email: mimpf2000@online.de USt-ID-Nr.: DE 235096871 Wir führen gebrauchte Bücher aus allen Sparten der Literatur

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