Abstract

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.

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