Overview

The intended audience of the book is the group of scientists and engineers who need to deal with nonlinear systems and who are particularly interested in studying the global behavior of these systems. This book introduces such a reader to the methods of cell-to-cell mapping. These methods are believed to provide a new framework of global analysis for nonlinear systems. They are based upon the idea of discretizing a continuum state space into cells, and casting the evolution of a system in the form of a cell-to-cell mapping. Up to now, two kinds of cell-mapping, simple and generalized, have been introduced and studied. These methods allow us to perform the task of locating all the attractors and domains of attraction in an effective manner. Generalized cell-mapping is particularly attractive because it can deal not only with fractally dimensioned entities of deterministic systems, but also with stochastic systems. The main purpose of the book is to make the scattered published results on cell-mapping readily available in one source. The reader, after seeing the power and potential of this new approach, will hopefully want to explore various possibilities of cell-mapping to develop new methodologies for use in his own field of research.

Full Product Details

Author:   C.S. Hsu
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 1987
Volume:   64
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   1.140kg
ISBN:  

9781441930835

ISBN 10:   1441930833
Pages:   354
Publication Date:   01 December 2010
Audience:   Professional and scholarly ,  General/trade ,  Professional & Vocational ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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