TOPICS
(Note on Animations)
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Two-Parameter Families of Strange Attractors
Animation by Timothy Jones
See also a comparison of Duffing and van der Pol Two-Parameter Families here.
Slice through a van der pol attractor embedded in a Torus
Animation by Timothy Jones
Oddity from a van der pol attractor embedded in a Torus
Animation by Timothy
Jones
Slice through a Torus Animation by Timothy Jones
Slice through a Rossler Animation by Timothy Jones
Ride the Lorentz RollerCoaster Animation by Timothy Jones
Introducing POVRAY animations, Rossler fly through.
Animation by Timothy Jones
Ride the Rossler RollerCoaster Animation by Timothy Jones
A Rossler Lorenz fusion. Animation by Timothy Jones
Fly through a Torus 3-cover Animation by Timothy Jones
Evolution of embedded toroidal attractor (2D): From future work to be published by R. Gilmore and C. Letelliere. Ani mation by Timothy Jones
Slice through a Torus Animation by Timothy Jones
Figure 5.8 from The Symmetry of Chaos: A double cover strange attractor for the rossler equations is evolved through one variable cuasing a split. Animation by Timothy Jones
Dynamics of Zeghlach-Mandel System: From Figure 9.9 of the Symmetry of Chaos, we follow the dynamics of the Z eghlach-Mandel system with varying delta parameter. Animation by Timothy Jones
Twisted Rossler Attractor: Chaotic attractors locally, but not globaly, diffeomorphic to the Rossler Attractor by Bob Gilmore.
Zeeman's Catastrophe Machine: An interactive flash animation of the ZCM by Daniel Cross.
Periodically driven Van Der Pol oscillator: Watch some interesting behavior as control parameters are varried. by Ben Coy with animation by Ben Coy.
3D animation: Duffing equations embedded in a torus: Another exclusive from the Drexel group, we embedd the Duffing equations in a 3d torus. Can be viewed with 3D glasses. By Timothy Jones
Van der Pol embedded in a torus: Another exclusive from the Drexel group, we embedd the Van der Pol equations in a 3d torus. By Timothy Jones
Cobwebs-Three Cover: An exclusive cobweb diagram for the Three-cover attractor. By Timothy Jones
The Logistic Map: This is one of the simplist examples of a chaotic system, yet it reveals much about the structure and causes of chaos. We have a brief tutorial and two orginal animations. By Timothy Jones
The Infinite Bifurcation Diagram: An infinite zoom in using Feigenbaum scaling. By Timothy Jones
More Cobwebs-Rossler: A Cobweb diagram for the Rossler attractor. By Timothy Jones
The Reconstructed Lorenz Attractor: Reconstruction of the Lorenz Attractor from a time series. By Greg Byrne.
The Forcing Diagram: See how topological considerations determine the creation and annihilation of orbits. By Timothy Jones
The Cusp Cobwebs: See how the cobwebs evolve in an alternative to the logistic map. By Timothy Jones
Rossler Attractor with variations of the c paramter: Watch the Rossler attractor evolve as c is varried from 4 to 14 by 0.01 steps. By Timothy Jones
Rossler Attractor with variations of the a paramter: Watch the Rossler attractor evolve as a is varried from 0.2 to 0.55 by 0.001 steps. By Timothy Jones
