Encyclopedia of Nonlinear Science

In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.

Selected Contents: Algorithmic complexity Ball lightning Biological evolution Boundary value problems Butterfly effect Cardiac arrhythmias and electrocardiogram Cellular automata Chaos vs. turbulence Controlling chaos Determinism Dynamical systems Emergence Fluid dynamics Fractals Game of life Laboratory models of nonlinear waves Monte-Carlo methods Multidimensional solitons Neural network models Nonequilibrium statistical mechanics Nonlinear optics Nonlinear Schrödinger equations Nonlinear toys Numerical methods Order from chaos Partial differential equations, nonlinear Period doubling Perturbation theory Population dynamics Quantum chaos Random matrix theory Reaction diffusion systems Sandpile model Spatio-temporal chaos Sine--Gordon (SG) equation Stochastic analyses of neural systems Symmetry groups Tacoma Narrows Bridge collapse Threshold phenomena Universality Vortex dominated flows Wave stability and instability

Alwyn Scott is Emeritus Professor of Mathematics at the University of Arizona and a former professor of informatics and mathematical modelling at the Technical University of Denmark.