Preface; References; About the Book; Contents; About the Author; 1 Nonlinear Dynamics and Chaos: Applications in Meteorology and Atmospheric Physics; Abstract; 1.1 Introduction; 1.2 New Science of Nonlinear Dynamics and Chaos; 1.2.1 Dynamical Systems and Fractal Space-Time Fluctuations; 1.2.2 Fractals in Pure Mathematics; 1.2.3 Fractal Fluctuations and Statistical Analysis; 1.2.4 Golden Mean and Self-similar, Fractal Geometrical Structures in Nature; 1.2.5 Fibonacci Sequence and Self-similar Structures; 1.2.6 Fivefold and Spiral Symmetry Associated with Fibonacci Sequence

1.2.7 Quasicrystalline Structure: The Quasiperiodic Penrose Tiling Pattern1.2.8 Fractal Time Signals, and Power Laws; 1.2.9 Self-organized Criticality: Space-Time Fractals; 1.2.10 Turbulent (Chaotic) Fluctuations and Self-similar Structure Formation; 1.2.11 Self-similarity: A Signature of Identical Iterative Growth Process; 1.3 Fractals and Self-organized Criticality in Meteorology and Atmospheric Physics; 1.3.1 Observed Structure of Atmospheric Flows and Signatures of Deterministic Chaos; 1.3.2 Limitations of Conventional Atmospheric Boundary Layer (ABL) Models

1.3.3 Traditional Numerical Weather Prediction, Deterministic Chaos and Predictability1.3.4 Current Techniques in Numerical Weather Prediction (NWP): Major Drawbacks; 1.4 Applications of Nonlinear Dynamics and Chaos for Weather Prediction: Current Status; 1.4.1 Space-Time Cascade Model for Fractal Fluctuations in Atmospheric Flows; 1.4.2 General Systems Theory for Fractal Space-Time Fluctuations in Atmospheric Flows; 1.5 Conclusions; References; 2 Noise or Random Fluctuations in Physical Systems: A Review; Abstract; 2.1 Introduction; 2.2 Statistical Methods for Data Analysis

2.3 Statistical Normal Distribution2.4 Power Laws-History; 2.5 Power-Law Distributions and Complex Systems; 2.6 Power Laws, Scale Invariance and Self-similarity; 2.7 Power Laws, Self-similarity, and Fractals; 2.8 Power Laws, 1/f Noise, and Long-Term Memory; 2.9 Power Laws, Phase Transitions, and Critical Phenomena; 2.10 Power Laws and Self-organized Criticality; 2.11 Current Status of Power-Law Distributions; 2.12 Power-Law Relations (Bivariate) and Power-Law (Probability) Distributions; 2.13 Allometric Scaling and Fractals; 2.14 Fractals and the Golden Section in Plant Growth

2.15 Turbulent Fluid Flow Structure, Fractals, and the Golden Ratio2.16 Fractal Space-Time and the Golden Section; 2.17 Power-Law (Probability) Distributions in Meteorological Parameters; 2.17.1 Power-Law (Probability) Distributions in Precipitation; 2.17.2 Power-Law (Probability) Distributions in Temperature; 2.17.3 Power-Law (Probability) Distributions in Quaternary Ice Volume Fluctuations; 2.17.4 Power-Law (Probability) Distributions in Atmospheric Pollution; 2.18 General Systems Theory Model for Self-organized Criticality in Atmospheric Flows; References