TOPICS

(Note on Animations)

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Two-Parameter Families of Strange Attractors , by Timothy Jones.

See also a comparison of Duffing and van der Pol Two-Parameter Families

Slice through a van der pol attractor embedded in a Torus, by Timothy Jones.

Slice through a Torus, by Timothy Jones.

Slice through a Rossler, by Timothy Jones.

Ride the Lorentz RollerCoaster, by Timothy Jones.

Introducing POVRAY animations, Rossler fly through, by imothy Jones.

Ride the Rossler RollerCoaster, by Timothy Jones.

A Rossler Lorenz fusion, by Timothy Jones.

Fly through a Torus 3-cover, by Timothy Jones.

Evolution of embedded toroidal attractor (2D), by Timothy Jones.

From future work to be published by R. Gilmore and C. Letelliere.

Slice through a Torus, by Timothy Jones.

Figure 5.8 from The Symmetry of Chaos, by Timothy Jones.

A double cover strange attractor for the rossler equations is evolved through one variable cuasing a split.

Dynamics of Zeghlach-Mandel System, by Timothy Jones.

From Figure 9.9 of the Symmetry of Chaos, we follow the dynamics of the Zeghlach-Mandel system with varying delta parameter.

Twisted Rossler Attractor, by Timothy Jones.

Chaotic attractors locally, but not globaly, diffeomorphic to the Rossler Attractor by Bob Gilmore.

Zeeman's Catastrophe Machine, by Daniel J. Cross.

An interactive flash animation of the ZCM.

Periodically driven Van Der Pol oscillator, by Ben Coy.

Watch some interesting behavior as control parameters are varried.

Duffing equations embedded in a torus (3D), by Timothy Jones.

Another exclusive from the Drexel group, we embedd the Duffing equations in a 3d torus. Can be viewed with 3D glasses.

Van der Pol embedded in a torus, by Timothy Jones.

Another exclusive from the Drexel group, we embedd the Van der Pol equations in a 3d torus.

Cobwebs-Three Cover, by Timothy Jones.

An exclusive cobweb diagram for the Three-cover attractor.

The Logistic Map, by Timothy Jones.

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.

The Infinite Bifurcation Diagram, by Timothy Jones.

An infinite zoom-in using Feigenbaum scaling.

More Cobwebs-Rossler, by Timothy Jones.

A Cobweb diagram for the Rossler attractor.

The Reconstructed Lorenz Attractor, by Greg Byrne.

Reconstruction of the Lorenz Attractor from a time series.

The Forcing Diagram, by Timothy Jones.

See how topological considerations determine the creation and annihilation of orbits.

The Cusp Cobwebs, by Timothy Jones.

See how the cobwebs evolve in an alternative to the logistic map.

Rossler Attractor with variations of the c paramter, by Timothy Jones.

Watch the Rossler attractor evolve as c is varried from 4 to 14 by 0.01 steps.

Rossler Attractor with variations of the a paramter, by Timothy Jones.

Watch the Rossler attractor evolve as a is varried from 0.2 to 0.55 by 0.001 steps.