Cell-To-Cell Mapping: A Method of Global Analysis for Nonlinear Systems: 64 - Rilegato

Hsu, C. S.

 
9780387965208: Cell-To-Cell Mapping: A Method of Global Analysis for Nonlinear Systems: 64
Rilegato
ISBN 10: 0387965203 ISBN 13: 9780387965208
Casa editrice: SPRINGER NATURE, 1987

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

1 Introduction and Overview.- 2 Point Mapping.- 3 Analysis of Impulsive Parametric Excitation Problems by Point Mapping.- 4 Cell State Space and Simple Cell Mapping.- 5 Singularities of Cell Functions.- 6 A Theory of Index for Cell Functions.- 7 Characteristics of Singular Entities of Simple Cell Mappings.- 8 Algorithms for Simple Cell Mappings.- 9 Examples of Global Analysis by Simple Cell Mapping.- 10 Theory of Generalized Cell Mapping.- 11 Algorithms for Analyzing Generalized Cell Mappings.- 12 An Iterative Method, from Large to Small.- 13 Study of Strange Attractors by Generalized Cell Mapping.- 14 Other Topics of Study Using the Cell State Space Concept.- References.- List of Symbols.

Product Description

Book by Hsu CS

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
SPRINGER NATURE
Data di pubblicazione
1987
Lingua
Inglese
ISBN 10 
0387965203
ISBN 13 
9780387965208
Rilegatura
Copertina rigida
Numero di pagine
354
Contatto del produttore
non disponibile
Persona responsabile
non disponibile

Altre edizioni note dello stesso titolo

9783540965206: Cell-to-Cell Mapping: A Method of Global Analysis for Nonlinear Systems

Edizione in evidenza

ISBN 10:  3540965203 ISBN 13:  9783540965206
Casa editrice: Springer-Verlag Berlin and Heide..., 1987
Rilegato