Nonlinear Dynamics and Chaotic Phenomena: An Introduction

Langue : anglais

Edité par Kluwer Academic Publishers, 1997

0792347722 / 9780792347729

Série : Livre 36 sur 136 - Fluid Mechanics and Its Applications

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A propos de cet article

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.…

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Titre
Nonlinear Dynamics and Chaotic Phenomena: An Introduction
Auteur
Bk Shivamoggi
Éditeur
Kluwer Academic Publishers
Année de publication
1997
État de l'article
Good
Reliure
Hardback
Langue
anglais
ISBN à 10 chiffres
0792347722
ISBN à 13 chiffres
9780792347729
Série
Livre 36 sur 136: Fluid Mechanics and Its Applications

World of Books (was SecondSale)

Montgomery, IL, Etats-Unis

Vendeur avec une évaluation de 5 étoiles

Vendeur AbeBooks depuis 20 décembre 2007

Frais d'expédition à l'intérieur de ce pays : Etats-Unis

Article4 à 12 jours ouvrés3 à 6 jours ouvrés
Premier articleEUR 0,00EUR 9,75
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