Bi381

Introduction to Complex Systems

An honors interdisciplinary course in the Sciences

Synthesis and Applications/Integraions

Instructor: Dr. David Oline      E-mail: olined@sou.edu

Southern Oregon University

Returning Winter 2009

Fractals

The Chaos Game

The Mandelbrot Set Viewer for Windows: Download here

         

          Zooming in on the Koch Snowflake – there’s always more detail to see!  Animation created by Jim Loy.

          A good example of the box counting method on another large-scale fractal structure – a galaxy

          A supplement to the coastline lab – practice the box-counting method online

Self-Organized Criticality

          Sandpiles and self-organized criticality

          Self-organized criticality in drainage landscape formation

          The virtual sandpile  A fun applet which simulates the dynamics of a sandpile

 

Modeling Links

          The StarLogo Home Page

          The NetLogo Models Library Page

 

Chaos

          The Lorenz Attractor Applet – 3 simple equations that produce complex unpredictable behavior

          What is Chaos? An excellent introductory presentation (warning – a 1.6 MB PDF file)

          An Introduction to Chaos Theory and Fractal Geometry  A good intro that provides some links between chaos and fractals

 

Cellular Automata

          The Game of Life – Java applet implementing John Conway’s original Game of Life

          Download “Life in the Fast Lane” – the ultimate Game of Life program

          Cellebration! a versatile online cellular automata program

          Download CELLAB – an even more versatile cellular automata program, as seen in class

 

Complex Systems, Chaos, Fractals – General Links Pages

          Complex Systems Links

          CalResCo

          The Santa Fe Institute

 

Open, Dissipative Systems, and Entropy

 

Networks

        A java applet of Kauffman’s NK Boolean networks

          A description of NK networks and how they settle down into an attractor, including visualizations of “state space”

          Stuart Kauffman’s Scientific American article from 1991.  “Anti-chaos” is an early (poorly chosen, perhaps) term he used           for what we now call “Complex” behavior.

          Another introduction to Kauffman’s NK Boolean networks

          The Discrete Dynamics Laboratory – visualizations of attractor basins from complex networks

          The Oracle of Bacon

          The Erdos Number Project

 

Correlated Fitness Landscapes

          An introduction to fitness landscapes and diversification from Klaus Saul

          A wide ranging covering genetic and technological diversification on rugged fitness landscapes from Thomas Berngruber

                   (warning – a huge Power Point file!)

 

Agent-Based Modeling

          The StarLogo Home Page – Downloads, examples, and more

 

Journals:

        Complexity

        Complexity International

        Complex Systems