Complexity and Chaos -- Chaotic Metamorphoses -- I. Characterizing Temporal Complexity: Chaos -- A. Measuring Dimensions, Entropies and Lyapunov Exponents -- Measures of Dimensions from Astrophysical Data -- Some Remarks on Nonlinear Data Analysis of Physiological Time Series -- Hierarchies of Relations Between Partial Dimensions and Local Expansion Rates in Strange Attractors -- Experimental Study of the Multifractal Structure of the Quasiperiodic Set -- Statistical Inference Theory for Measures of Complexity in Chaos Theory and Nonlinear Science -- Practical Remarks on the Estimation of Dimension and Entropy from Experimental Data -- Chaotic Behavior of the Forced Hodgkin-Huxley Axon -- Chaotic Time Series Analysis Using Short and Noisy Dta Sets: Applications to a Clinical Epilepsy Seizure -- Measuring Complexity in Terms of Mutual Information -- Estimating Lyapunov Exponents From Approximate Return Maps -- Estimating Local Intrinsic Dimensionality Using Thresholding Techniques -- Seeking Dynamically Connected Chaotic Variables -- On Problems Encountered with Dimension Calculations -- Systematic Errors in Estimating Dimensions from Experimental Data -- Analyzing Periodic Saddles in Experimental Strange Attractors -- Time Evolution of Local Complexity Measures and Aperiodic Perturbations of Nonlinear Dynamical Systems -- Analysis of Local Space/Time Statistics and Dimensions of Attractors Using Singular Value Decompositon and Information Theoretic Criteria -- Entropy and Correlation Time in a Multimode Dye Laser -- Dimension Calculation Precision with Finite Data Sets -- Chaos in Childhood Epidemics -- Measurement of f(?) for Multifractal Attractors in Driven Diode Resonator Systems -- Is there a Strange Attractor in a Fluidized Bed? -- Statistical Error in Dimension Estimators -- B. Other Measures -- Dynamical Complelxity of Strange Sets -- Characterization of Complexity by Aperiodic Driving Forces -- Stabilization of Prolific Populations Through Migration and Long-lived Propagules -- Complex Behavior of Systems Due to Semi-stable Attractors: Attractors That Have Been Destablized but Which Still Temporarily Dominate the Dynamics of a System -- Universal Properties of the Resonance Curve of Complex Systems -- The Effects of External Noise on Complexity in Two-dimensional Driven Damped Dynamical System -- Chaos on a Catastrophe Manifold -- Topolgical Frequencies in Dynamical Systems -- Phase Transitions Induced by Deterministic Delayed Forces -- Mutual Information Functions Versus Correlation Functions in Binary Sequences -- Reduction of Complexity by Optimal Driving Forces -- Symbolic Dynamical Resolution of Power Spectra -- Relative Rotation Rates for Driven Dynamical Systems -- Stretching Folding Twisting in the Driven Damped Duffing Device -- Characterizing Chaotic Attractors Underlying Single Mode Laser Emission by Quantitative Laser Field Phase Measurements -- C. Characterizing Homoclinic Chaos -- Shil'nikov Chaos: How to Characterize Homoclinic and Heteroclinic Behavior -- Time Series Near Codimension Two Global Bifurcations -- Characterization of Shil'nikov Chaos in a CO2 Laser Containing a Saturable Absorber -- Symmetry-breaking Homoclinic Chaos -- Time Return Maps and Distributions for the Laser with Saturable Absorber -- D. Building Models from Data -- Unfolding Complexity in Nonlinear Dynamical Systems -- Inferring the Dynamic; Quantifying Physical Complexity -- Symbolic Dynamics from Chaotic Time Series -- Modelling Dynamical Systems from Real-world Data -- Extraction of Models from Complex Data -- Quantifying Chaos with Predictive Flows and Maps: Locating Unstable Periodic Orbits -- II. Characterizing Spatio- Temp Oral Complexity: Turbulence -- A. Theoretical -- Defect-induced Spatio-temporal Chaos -- Lyapunov Exponents, Dimension and Entropy in Coupled Lattice Maps -- Phase Dynamics, Phase Resettiing, Correlation Functions and Coupled Map Lattices -- Characterization of Spatiotemporal Structures in Lasers: A Progress Report -- Amplitude Equations for Hexagonal Patterns of Convection in Non-Boussinesq Fluids -- Fractal Dimensions in Coupled Map Lattices -- Weak Turbulence and the Dynamics of Topological Defects -- Pattern Cardinality as a Characterization of Dynamical Complexity -- B. Experimental -- Characterizing Spatiotemporal Chaos in Electrodeposition Experiments -- Characterizing Space-time Chaos in an Experiment of Thermal Convection.. -- Characterizing Dynamical Complexity in Interfacial Waves -- Characterization of Irregular Interfaces: Roughness and Self-affine Fractals -- The Field Patterns of a Hybrid Mode Laser: Detecting the "Hidden" Bistability of the Optical Phase Pattern -- Contributors.