Due date | Project Description | Files |
---|---|---|

Aug 29, 2024 | Project 1 | Project files |

Sep 12, 2024 | Project 2 | Project files |

Sep 26, 2024 | Project 3 | . |

Oct 10, 2024 | Project 4a or Project 4b | Project 4b files |

Oct 24, 2024 | Project 5 | . |

Nov 7, 2024 | Project 6 | . |

Nov 21, 2024 | Project 7 | . |

Dec 12, 2024 | Final Project | . |

Logistic map: Time evolution

Logistic map: Bifurcation diagram

Comparison of the bifurcation diagrams of the logistic and sine maps

Renormalization of the logistic map

Lorenz attractor

Double pendulum

Driven damped pendulum

Bifurcation diagram of driven damped pendulum

Chemical oscillations, part of the IDEA project at Washington State Univ.

Van der Pol oscillator,
Rayleigh oscillator (Wolfram cdf files, require free Wolfram Player)

Lorenz attractor

Saddle cycle

Homoclinic and heteroclinic tangles

Horseshoe map

Lyapunov exponent of the logistic map

U-sequences

Gaussian map

Periodic vs quasiperiodic motion

Sine-circle map: fixed points,
limit cycles,quasiperiodic motion

Arnold tongues

Devil's staircase

Farey tree

Sine-circle map: Chaos

Sine-circle map: Lyapunov exponent

Intermittency in the logistic map, and in the
Lorenz model

Mechanism of intermittency

Crisis in the logistic map

Coastline of Norway (Map of Europe)

Covering the coastline, fractal dimension

Koch curve, Sierpinski triangle, Sierpinski carpet

Correlation dimensions of chaotic attractors

Multifractal electronic wave function (courtesy Rudolf Roemer)

Percolation applet

Simulation data for the fractal dimension of the critical percolation cluster

The Web site for plotting program Gnuplot is www.gnuplot.info.