Hands-on Lab

Java Applets

Dissipative Chaos

• Chaos in Driven Pendulum
• Poincare Section of Driven Pendulum
• Duffing Equation Attractor (Real Space)
• Lorentz Attractor
• Strange Attractors
• Hamiltonian Chaos

Chaos in Three-Body Problems

• Poincare Section of Double Pendulum
• Extensible Pendulum
• Standard Area Preserving Map

Transient Chaos

• Chaotic Scattering

Fractals

• Fractal Coastlines
• Diffusion Limited Aggregation
• Mandelbrot Set
• Julia Set

Nonlinear Physics and Solitons

• Toda Lattice Soliton
• KdV Solitons
• FPU paradox in Coupled Pendulums

Fourier Techniques

• Normal Modes of Coupled Oscillators: a) Three, b) Many, c) Phonons in Solids
• Fourier Series
• Fourier Transform
• Discrete-time Fourier Transform
• Fourier Syntesis
• Convolution and Autocorrelation

Statistical Physics

• Brownian Motion
• Random Walk in 1D
• Random Walk in 2D
• Self-Avoiding Random Walk
• Monte Carlo Estimatation for Pi
• Percolation
• Ising Model Java Applet

Quantum Mechanics

• The two slit experiment and the collapse of the wavefunction
• Detector in two slit experiment
• Quantum Scattering of Wave Packet
• Visual Quantum Mechanics
• Quantum Mechanics Applets

Complex Systems

• Cellular Automata
• Game of Life
• BTW Sandpile: A model of Self-Organized Criticality
• 3D BTW Sandpile Simulation by UD student John Meyer
• Forest Fire: A model of Self-Organized Criticality
• Spin Glasses
• Hopfield Neural Network
• Neural Networks with Java
• Self-Organizing Networks
• Image Compression by Neural Networks
• Genetic Algorithms