作者:
Daniel Kaplan//Leon Glass|责编:刘慧//高蓉著
|
Daniel Kaplan//Leon Glass|责编:刘慧//高蓉编
|
Daniel Kaplan//Leon Glass|责编:刘慧//高蓉译
|
Daniel Kaplan//Leon Glass|责编:刘慧//高蓉绘
作者:
Daniel Kaplan//Leon Glass|责编:刘慧//高蓉著|Daniel Kaplan//Leon Glass|责编:刘慧//高蓉编|Daniel Kaplan//Leon Glass|责编:刘慧//高蓉译|Daniel Kaplan//Leon Glass|责编:刘慧//高蓉绘
出版社:世界图书出版公司
出版时间:1997-11-01
版次:1
印次:4
印刷时间:2020-06-01
字数:1
页数:420
开本:24开
ISBN:9787506233088
版权提供:世界图书出版公司
作者:Daniel Kaplan//Leon Glass|责编:刘慧//高蓉
著:Daniel Kaplan//Leon Glass|责编:刘慧//高蓉
装帧:平装
印次:4
定价:89.00
ISBN:9787506233088
出版社:世界图书出版公司
开本:24开
印刷时间:2020-06-01
语种:暂无
出版时间:1997-11-01
页数:420
外部编号:30908442
版次:1
成品尺寸:暂无
SERIES PREFACE ABOUT THE AUTHORS PREFACE 1 FINITE-DIFFERENCE EUATIONS 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 siperiodicity 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 Salamander,a . Boolean Functions and Biochemistry 2.4 Random Boolean Networks 2.5 Cellular Automata 4 Spiral Waves in Chemistry and aiology 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 Time, 3.5 Fractals and Dynamics 7 Random Walks and Levy Walks 8 Fractal Growth, Sources and Notes Exercises Computer Projects 4 ONE-DIMENSIONAL DIFFERENTIAL EUATIONS 4.1 Basic Definitions 4.2 Growth and Decay 9 Traffic on the Internet 10 Open Time Histograms in Patch Clamp Experiments\" 11 Gompertz Growth of Tumors, 4.3 Multiple Fixed Points 4.4 Geometrical Analysis of One-Dimensional Nonlinear Ordinary Differential Equations 4.5 Algebraic Analysis of Fixed Points 4.6 Differential Equations versus Finite-Difference Equations 4.7 Differential Equations with Inputs 12 Heart Rate Response to Sinusoid Inputs 4.8 Advanced Topic: Time Delays and Chaos 13 Nicholson's Blowflies, Sources and Notes Exercises Computer Projects 5 TWO-DIMENSIONAL DIFFERENTIAL EUATIONS 5.1 The Harmonic Oscillator 5.2 Solutions, Trajectories, and Flows 5.3 The Two-Dimensional Linear Ordinary Differential Equation 5.4 Coupled First-Order Linear Equations 14 Metastasis of Malignant Tumors, 5.5 The Phase Plane 5.6 Local Stability Analysis of Two-Dimensional, Nonlinear Differential Equations 5.7 Limit Cycles and the van der Pol Oscillator 5.8 Finding Solutions to Nonlinear Differential Equations 15 Action Potentials in Nerve Celis 5.9 Advanced Topic: Dynamics in Three or More Dimensions 5.10 Advanced Topic: Poincar6 Index Theorem Sources and Notes Exercises Computer Projects 6 TIME-SERIES ANALYSIS 6.1 Starting with Data 6.2 Dynamics, Measuremens,ndNise 16 Fluctuations in Marine Populations, 6.3 The Mean and Standard Deviation 6.4 Linear Correlations 6.5 Power Spectrum Analysis 17 Daily Oscillations in Zooplankton 6.6 Nonlinear Dynamics and Data Analysis 18 Reconstructing Nerve Cell Dynamics, 6.7 Characterizing Chaos 19 Predicting the Next Ice Age, 6.8 Detecting Chaos and Nonlinearity 6.9 Algorithms and Answers Sources and Notes Exercises Computer Projects APPENDIX A A MULTI-FUNCTIONAL APPENDIX A.1 The Straight Line A.2 The dratic Function A.3 The Cubic and Higher-Order Polynomials A.4 The Exponential Function A.5 Sigmoidal Functions A.6 The Sine and Cosine Functions A.7 The Gaussian (or \"Normal\") Distribution A.8 The Ellipse A.9 The Hyperbola Exercises APPENDIX B A NOTE ON COMPUTER NOTATION SOLUTIONS TO SELECTED EXERCISES BIBLIOGRAPHY NEX