Projects for Nonlinear Physics: Modeling Chaos & Complexity
(Spring 2008, Physics 150/250)

• Youval Dar, Henon-Heiles Hamiltonian—Chaos In 2D:
  1. Report (pdf),
  2. Plots (jpg and png),
  3. Presentation (pdf),
  4. Python code: henonheiles.py and ProjectFunctions.py.
• Nicholas Travers, Simulated Flocking Behavior:
  1. Report (pdf) and
  2. Python code:
     1. Base: FlockingClassDefinitions.py, FlockingUpdateRules2.py, and FlockingGetPositions.py.
     2. Simulation: FlockingSimulator2.py and FlockingSimulatorDivergence2.py.
     3. Display: FlockingDisplayObstacles.py and FlockingDisplayDivergence.py.
     4. Analysis: FlockingAnalysis.py and FlockingAnalyzeDivergence.py.
• Alex Huang, Bouncing Balls:
  1. Report (pdf),
  2. Presentation (pdf), and
  3. Python code: BallCollision.py, ball1.bmp, ball2.bmp, ball3.bmp, ball4.bmp, ball5.bmp, ball6.bmp, and ball7.bmp.
• Radoslav Bozinoski, Chaotic Streamlines inside a Droplet:
  1. Report (pdf),
  2. Presentation (pdf), and
  3. Python code: ChaoticDrop.py, ODEGen.py, ODEIntegrator.py, and ODES.py.
• Richard Watson, A Spiking Model Exploration Tool:
  1. Website.
• Adam Getchell, Agent-Based Modeling—A Survey:
  1. Report (pdf),
  2. Presentation (pdf),
  3. Gravity and 3D Collisions in Python/Breve (YouTube),
  4. Gray-Scott Reaction Diffusion Agent-based Model in Python/Breve (YouTube), and
  5. An Overview of Python with Functional Programming (PHY 210) (pdf).
• Matt Fletcher and Jeff Hutchinson, Moving Mass—A Nonlinear Dynamics Project:
  1. Report (pdf) and
  2. Python code: main.py, analysis.py, Wrapped2DArray.py, Automata.py, Basic_Flow.py, Blobs.py, and watch_movie.py.
• Sharon Chang, Cellular Automata Model for Epidemics:
  1. Report (pdf) and
  2. Python code: CAFuncs.py, SIR_CA.py, KM_ODE.py, and SIS_ICount.py.
• Greg Shinault, The Fermi-Pasta-Ulam Problem: An Exploration of the One-Dimensional Lattice:
  1. Report (pdf) and
  2. Python code: GenRK.py, fpu_quad.py, fpu_cubic.py, fpu_cubic_pretty.py, and fpu_quad_pretty.py.
• Sophie Engle and Sean Whalen, dypy—Dynamical Systems in Python:
  1. Report (pdf),
  2. Processing implementation: Site (Java), and
  3. Python code: TBA.
• Travis Scrimshaw, A Flock of Crows—How Scarce Resources Affect Group Behavior and the Effects of Personalities and Strategy Influence Distribution Patterns:
  1. Report (pdf) and
  2. Python code: simulator.py, classes.py, and functions.py.
• Ryan James, The Phase-Modulated Logistic Map—An Exploration:
  1. Report (pdf),
  2. Phase Modulated Logistic Map (YouTube), and
  3. Python code: pmlm.py.
• Christopher Miller, Laser Rate Equations:
  1. Report (pdf) and
  2. Python code: plotlaser.py and Lasergood.py.
• Tasia Raymer, Discrete Time Coupled Logistic Equations with Symmetric Dispersal:
  1. Report (pdf) and
  2. Python code: CpledLogClass.py, PopDynamics.py, BifurcationDiagram.py, DotSpread.py, and TimeSeries.py.
• Ben Johnson, MultiAgent Dynamical Systems:
  1. Report (pdf) and
  2. Python code: Agent.py, InteractiveMADS.py, and StaticMADS.py.
• Shane Celis, Evolutionary Dynamics:
  1. Report (pdf),
  2. Project proposal (pdf), and
  3. Python code: Environment.py, Particle.py, join-data.py, ExplicitFitness.py, Recorder.py, meanData.py, GA.py, Shane.py, view.py, Integrators.py, and MatrixIO.py.
• Mark Yoder, Mitigating Large Cascades in Drossel Forest Fire Models:
  1. Report (pdf) and
  2. Python code: .py,
• Jared Chaco, Lorenz Composer:
  1. Report (pdf) and
  2. Python code: lorenzcomposer.py, musical.py, and liner.py.