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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 SchrÃ¶dinger 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

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 SchrÃ¶dinger 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

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 SchrÃ¶dinger 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

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 SchrÃ¶dinger 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

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 SchrÃ¶dinger 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

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 SchrÃ¶dinger 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