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e-Book Nonlinear Dynamics and Chaotic Phenomena: An Introduction (Fluid Mechanics and Its Applications) download

e-Book Nonlinear Dynamics and Chaotic Phenomena: An Introduction (Fluid Mechanics and Its Applications) download

by B.K Shivamoggi

ISBN: 0792347722
ISBN13: 978-0792347729
Language: English
Publisher: Springer; 1997 edition (November 30, 1997)
Pages: 420
Category: Physics
Subategory: Math Science

ePub size: 1350 kb
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Rating: 4.3
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This book starts with a discussion of nonlinear ordinary differential equations, bifurcation theory and Hamiltonian dynamics. It then embarks on a systematic discussion of the traditional topics of modern nonlinear dynamics - integrable systems, Poincaré maps, chaos, fractals and strange attractors. The Baker’s transformation, the logistic map and Lorenz system are discussed in detail in view of their central place in the subject. There is a detailed discussion of solitons centered around the Korteweg-deVries equation in view of its central place in integrable systems.

Introduction to Chaotic Behavior in Nonlinear Dynamics. Fluid Mechanics and Its Applications. Nonlinear Differential Equations. Springer Netherlands.

Fluid Mechanics and Its Applications. Nonlinear Dynamics and Chaotic Phenomena: An Introduction. Traditionally all the macroscopic phenomena observed in nature have been studied via solutions of differential equations (DE) which are described by smooth and continuous curves. This approach works very well for a class of problem like the planetary motion where the orbits are regular geometric objects (namely, ellipse)

Start by marking Nonlinear Dynamics and Chaotic Phenomena: An Introduction (Fluid Mechanics and Its Applications) as Want to Read . This book starts with a discussion of nonlinear ordinary differential equations, bifurcation theory and Hamiltonian dynamics.

Start by marking Nonlinear Dynamics and Chaotic Phenomena: An Introduction (Fluid Mechanics and Its Applications) as Want to Read: Want to Read savin. ant to Read.

Автор: Bhimsen K. Shivamoggi Название: Nonlinear Dynamics and Chaotic Phenomena: An Introduction ISBN .

Chaotic Dynamics provides a clear introduction to these chaotic phenomena, based on geometrical interpretations and simple arguments, without the need for prior in-depth scientific and mathematical knowledge.

series Fluid Mechanics and Its Applications Books related to Nonlinear Dynamics and Chaotic Phenomena: An Introduction.

series Fluid Mechanics and Its Applications This book starts with a discussion of nonlinear ordinary differential equations, bifurcation theory and Hamiltonian dynamics. Books related to Nonlinear Dynamics and Chaotic Phenomena: An Introduction.

This book presents the foundations of fluid mechanics and transport phenomena in a concise wa.

This book presents the foundations of fluid mechanics and transport phenomena in a concise way. It is suitable as an introduction to the subject as it contains many examples, proposed problems and a chapter for self-evaluation. The solutions to all problems are displayed in the corresponding appendix. The transport phenomena of momentum, heat and mass are presented from a rigorous fluid mechanics point of view, and they are explained using a unified, systematic approach, including the analogies between the various transport phenomena.

Nonlinear Dynamics and Chaotic Phenomena : An Introduction. by Bhimsen K. Shivamoggi. Poincare and Liapunov successfuIJy developed analytical mechanics further along these lines.

Электронная книга "An Introduction to Fluid Mechanics and Transport Phenomena", G. Hauke

Электронная книга "An Introduction to Fluid Mechanics and Transport Phenomena", G. Hauke. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "An Introduction to Fluid Mechanics and Transport Phenomena" для чтения в офлайн-режиме.

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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