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| The book is about dynamics-the mathematics of how things change in time.The universe around us presents a kaleidoscope of quantities that vary with time, ranging from the extragalactic pulsation of quasars to the fluctuations in sunspot activity on our sun; from the changeing outdoor temperature associated with the four season to the aily temperature gluctuations in our bodies; from the incidence of infectious diseases such as meales to the tumultuous trend of stock prices. |
| PREFACE ABOUT THE AUTHORS 1 FINITE-DIFFERENCE EQUATIONS 1.1 A Mythical Field 1.2 The Linear Finite-Difference Equation 1.3 Methods of Iteration 1.4 Nonlinear Finite-Difference Equations 1.5 Steady States and Their Stability 1.6 Cycles and Their Stability 1.7 Chaos 1.8 Quasiperiodicity 1 Chaos in Periodically Stimulated Heart Cells Sources and Notes Exercises Computer Projects 2 BOOLEAN NETWORKS AND CELLULAR AUTOMATA 2.1 Elements and Networks 2.2 Boolean Variables, Functions, and Networks 2 A Lambda Bacteriophage Model 3 Locomotion in Salamanders 2.3 Boolean Functions and Biochemistry 2.4 Random Boolean Networks 2.5 Cellular Automata 4 Spiral Waves in Chemistry and Biology 2.6 Advanced Topic: Evolution and Computation Sources and Notes Exercises Computer Projects 3 SELF-SIMILARITY AND FRACTAL GEOMETRY 3.1 Describing a Tree 3.2 Fractals 3.3 Dimension 5 The Box-Counting Dimension 3.4 Statistical Self-Similarity 6 Self-Similarity in Ti |
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