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Chaotic Transport in Dynamical Systems (Interdisciplinary Applied Mathematics) ebook

by Stephen Wiggins


Provides a new and more realistic framework for describing the dynamics of non-linear systems. A number of issues arising in applied dynamical systems from the viewpoint of problems of phase space transport are raised in this monograph.

Provides a new and more realistic framework for describing the dynamics of non-linear systems.

The book opens by establishing context and fundamental mathematical concepts and definitions. These methods were originally developed in the abstract mathematical setting of dynamical systems theory, through a geometric approach to differential equations. Despite the recent developments in this field and the existence of a substantial body of work on geophysical fluid problems in the dynamical systems and geophysical literature, this is the first introductory text that presents these methods in the context of geophysical fluid flow.

Recently Viewed and Featured. Chaotic Transport in Dynamical Systems (Interdisciplinary Applied Mathematics). Normally Hyperbolic Invariant Manifolds in Dynamical Systems (Applied Mathematical Sciences). Lagrangian Transport in Geophysical Jets and Waves: The Dynamical Systems Approach.

Start by marking Chaotic Transport in Dynamical Systems as Want to Read .

Start by marking Chaotic Transport in Dynamical Systems as Want to Read: Want to Read savin. ant to Read. Provides a new and more realistic framework for describing the dynamics of non-linear systems.

Автор: Stephen Wiggins Название: Chaotic Transport in Dynamical Systems Издательство . Описание: The interest of the applied mechanics community towards chaotic dynamics of engineering systems has exploded in the last fifteen years.

Описание: The interest of the applied mechanics community towards chaotic dynamics of engineering systems has exploded in the last fifteen years.

Interdisciplinary Applied Mathematics

Interdisciplinary Applied Mathematics. Samelson/Wiggins: Lagrangian Transport in Geophysical Jets and Waves 32. Wodarz: Killer Cell Dynamics 33. Pettini: Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics 34.

It assumes little or no prior knowledge of dynamical systems theory. Stephen Wiggins is a Professor of Applied Mathematics and Head of the School of Mathematics at the University of Bristol. An e?ort is made to explain concepts from a physical point of view, and to avoid the theorem and proof constructions that appear in dynamical systems texts. Библиографические данные.

The subject of chaotic transport in dynamical systems is examined from the viewpoint of problems of phase space transport. The examples considered include uniform elliptical vortices in external linear time-dependent velocity fields; capture and passage through resonance in celestial mechanics; bubble dynamics in straining flows; and photodissociation of molecules

A number of issues arising in applied dynamical systems from the viewpoint of problems of phase space transport are raised in. .A timely and important contribution to those concerned with the applications of mathematics.

A number of issues arising in applied dynamical systems from the viewpoint of problems of phase space transport are raised in this monograph.

Chaotic Transport in Dynamical Systems. Category: Physics, Nonlinear chaos. Introduction to applied nonlinear dynamical systems and chaos. 5 Mb. Roger M. Samelson, Stephen Wiggins. 4 Mb. Introduction To Applied Nonlinear Dynamical System And Chaos. 8 Mb. Lagrangian Transport in Geophysical Jets and Waves.

Provides a new and more realistic framework for describing the dynamics of non-linear systems. A number of issues arising in applied dynamical systems from the viewpoint of problems of phase space transport are raised in this monograph. Illustrating phase space transport problems arising in a variety of applications that can be modelled as time-periodic perturbations of planar Hamiltonian systems, the book begins with the study of transport in the associated two-dimensional Poincare Map. This serves as a starting point for the further motivation of the transport issues through the development of ideas in a non-perturbative framework with generalized references to higher dimensions as well as more general time dependence.
Chaotic Transport in Dynamical Systems (Interdisciplinary Applied Mathematics) ebook
Author:
Stephen Wiggins
Category:
Physics
Subcat:
EPUB size:
1470 kb
FB2 size:
1600 kb
DJVU size:
1401 kb
Language:
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K (January 1, 1992)
Pages:
314 pages
Rating:
4.9
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