"Mathematics of Complexity and Dynamical Systems" ed. by Robert A. Meyers (Repost)

This is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. This book is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers

The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics.

Table of Contents
Contributors
Adomian Decomposition Method Applied to Non-linear Evolution Equations in Soliton Theory
Anomalous Diffusion on Fractal Networks
Biological Fluid Dynamics, Non-linear Partial Differential Equations
Catastrophe Theory
Center Manifolds
Chaos and Ergodic Theory
Chronological Calculus in Systems and Control Theory
Control of Non-linear Partial Differential Equations
Diagrammatic Methods in Classical Perturbation Theory
Discrete Control Systems
Dispersion Phenomena in Partial Differential Equations
Dynamics on Fractals
Dynamics of Parametric Excitation
Entropy in Ergodic Theory
Ergodicity and Mixing Properties
Ergodic Theorems
ErgodicTheory:BasicExamplesand Constructions
Ergodic Theory: Fractal Geometry
Ergodic Theory on Homogeneous Spaces and Metric Number Theory
Ergodic Theory: Interactions with Combinatorics and Number Theory
Ergodic Theory, Introduction to
Ergodic Theory: Non-singular Transformations
Ergodic Theory: Recurrence
Ergodic Theory: Rigidity
Existence and Uniqueness of Solutions of Initial Value Problems
Finite Dimensional Controllability
Fractal Geometry, A Brief Introduction to
Fractal Growth Processes
Fractal and Multifractal Scaling of Electrical Conduction in Random Resistor Networks
Fractal and Multifractal Time Series
Fractals in Biology
Fractals and Economics
Fractals in Geology and Geophysics
Fractals Meet Chaos
Fractals and Percolation
Fractals in the Quantum Theory of Spacetime
Fractal Structures in Condensed Matter Physics
Fractals and Wavelets: What Can We Learn on Transcription and Replication from Wavelet-Based Multifractal Analysis of DNASequen
Fractal and Transfractal Scale-Free Networks
Hamiltonian Perturbation Theory (and Transition to Chaos)
Hamilton^Jacobi Equations and Weak KAM Theory
Hybrid Control Systems
Hyperbolic Conservation Laws
Hyperbolic Dynamical Systems
Infinite Dimensional Controllability
Inverse Scattering Transform and the Theory of Solitons
Isomorphism Theory in Ergodic Theory
Joinings in Ergodic Theory
Kolmogorov^-Arnold-Moser (KAM) Theory
Korteweg-de Vries Equation (KdV), Different Analytical Methods for Solving the
Korteweg-de Vries Equation (KdV), History, Exact N-Soliton Solutions and Further Properties of the
Korteweg-de Vries Equation (KdV) and Modified Korteweg-de Vries Equations (mKdV), Semi-analytical Methods for Solving the
Korteweg-de Vries Equation (KdV), Some Numerical Methods for Solving the
Learning, System Identification, and Complexity
Lyapunov-Schmidt Method for Dynamical Systems
Maximum Principle in Optimal Control
Measure Preserving Systems
Mechanical Systems: Symmetries and Reduction
Navier-Stokes Equations: A Mathematical Analysis
-Body Problem and Choreographies
Nekhoroshev Theory
Non-linear Dynamics, Symmetry and Perturbation Theory in
Non-linear Internal Waves
Non-linear Ordinary Differential Equations and Dynamical Systems, Introduction to
Non-linear Partial Differential Equations, Introduction to
Non-linear Partial Differential Equations, Viscosity Solution Method in
Non-linear Stochastic Partial Differential Equations
Nonsmooth Analysis in Systems and Control Theory
Normal Forms in Perturbation Theory
Numerical Bifurcation Analysis
Observability (Deterministic Systems) and Realization Theory
Partial Differential Equations that Lead to Solitons
Periodic Orbits of Hamiltonian Systems
Periodic Solutions of Non-autonomous Ordinary Differential Equations
Perturbation Analysis of Parametric Resonance
Perturbation of Equilibria in the Mathematical Theory of Evolution
Perturbation of Systems with Nilpotent Real Part
Perturbation Theory
Perturbation Theory in Celestial Mechanics
Perturbation Theory. Introduction to
Perturbation Theory and Molecular Dynamics
Perturbation Theory for Non-smooth Systems
Perturbation Theory for PDEs
Perturbation Theory in Quantum Mechanics
Perturbation Theory. Semiclassical
Perturbative Expansions. Convergence of
Phase Transitions on Fractals and Networks
Philosophy of Science. Mathematical Models in
Pressure and Equilibrium States in Ergodic Theory
Quantum Bifurcations
Reaction Kinetics in Fractals
Relaxation Oscillations
Robotic Networks, Distributed Algorithms for
Scaling Limits of Large Systems of Non-linear Partial Differential Equations
Shallow Water Waves and Solitary Waves
Smooth Ergodic Theory
Soliton Perturbation
Solitons and Compactons
Solitons: Historical and Physical Introduction
Solitons Interactions
Solitons. Introduction to
Solitons, Tsunamis and Oceanographical Applications of
Spectral Theory of Dynamical Systems
Stability and Feedback Stabilization
Stability Theory of Ordinary Differential Equations
Stochastic Noises, Observation, Identification and Realization with
Symbolic Dynamics
System Regulation and Design, Geometric and Algebraic Methods in
Systems and Control, Introduction to
Topological Dynamics
Vehicular Traffic: A Review of Continuum Mathematical Models
Water Waves and the Korteweg-de Vries Equation
List of Glossary Terms
Index