Electronic Resource

Nonlinear Dynamics and Chaotic Phenomena: An Introduction

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Penilaian

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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. Then, there is a discussion of the Painlevé property of nonlinear differential equations which seems to provide a test of integrability. Finally, there is a detailed discussion of the application of fractals and multi-fractals to fully-developed turbulence -- a problem whose understanding has been considerably enriched by the application of the concepts and methods of modern nonlinear dynamics. On the application side, there is a special emphasis on some aspects of fluid dynamics and plasma physics reflecting the author’s involvement in these areas of physics. A few exercises have been provided that range from simple applications to occasional considerable extension of the theory. Finally, the list of references given at the end of the book contains primarily books and papers used in developing the lecture material this volume is based on.

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Availability

Inventory Code	Barcode	Call Number	Location	Status
1408000626	EB0003059	003.857 Shi n	Central Library (OPAC)	Available

Detail Information

Series Title

Fluid Mechanics and Its Applications

Call Number

003.857 Shi n

Publisher

Dordrecht : Springer Dordrecht., 2013

Collation

xxvii, 375.: Ill

Language

English

ISBN/ISSN

978-94-007-7094-2

Classification

003.857

Content Type

-

Media Type

-

Carrier Type

-

Edition

1

Subject(s)

Dynamics

Specific Detail Info

-

Statement of Responsibility

RIZAL

Other version/related

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