One of the more fascinating aspects of sustained
nonequilibrium systems is that they often enter into
time-dependent dynamical states that are disordered both in
time and in space. While a precise definition of
spatiotemporal chaos has not yet been agreed upon (there are
several proposed definitions and they don't always agree
with each other), the essential fact seems to be that
fluctuations in space play a significant role in the
dynamics. Such fluctuations arise typically when a system is
strongly driven out of equilibrium (e.g., high Reynolds
number fluid flow) or simply made large (e.g.,
large-aspect-ratio Benard convection). Researchers would
then like to understand what kinds of dynamical states
exist, how they vary with parameters, what kinds of
bifurcations separate different states and how various
physical properties such as heat or matter transport depend
on details of the dynamical state.

The DOE supported research is summarized at the web
page http://www.cmp.caltech.edu/~stchaos/index.html.

This spiral defect chaos state is especially interesting on two accounts. One is that all boundary conditions are static in time and uniform in space so that the intrinsic structure emerges spontaneously from the dynamics. Second, the range of wavenumbers lies within the region of linearly stable straight convection rolls and so the spiral defect chaotic attractor coexists in phase space with attractors of straight time-independent parallel rolls. It is not yet known how to predict the appearance of the spiral defect chaos state, how it varies with parameters, or its statistical properties.

- "Never Say Never", video history of BZ reaction by Moscow State Television.
- Excitable media (my own collection of links).
- Incompressible turbulent convection simulations at the U. of Colorado.
- Ecological Spatiotemporal Modeling Page

- Guenter Ahlers, experimental pattern formation in fluids and liquid crystals.
- Dwight Barkley, theory, simulation of excitable media, fluids.
- Eshel Ben-Jacob's Bacterial Pattern-Formation Group
- Bob Behringer (granular flow, convection experiments).
- Eberhard Bodenschatz, experimental pattern formation in convecting flows, turbulence.
- Michael Cross, theoretical pattern formation.
- Bob Ecke, experimental pattern formation, chaos in convecting flows.
- Jerry Gollub, pattern formation and chaos in convection, capillary waves, granular media.
- Michael Gorman, experimental pattern formation and chaos in combustion.
- Alain Karma, theory of excitable media and cardiac physiology.
- Eugenia Kalnay, numerical weather forecasting.
- Ray Kapral, theoretical studies of chemical spatiotemporal dynamics.
- Herbie Levine, theoretical/computational pattern formation and biology.
- Ron Lifshitz (Caltech)
- Wolfgang Losert's Pattern Formation Laboratory at UMD.
- Peter Lucas, visualization of cryogenic convecting flows.
- Alexander S. Mikhailov, analysis, control of spatiotemporal chaos.
- Stephen Morris, experimental patterns in fluids, liquid crystals, and granular media.
- James D. Murray, mathematical biology, pattern formation.
- Hermann Riecke, theoretical/computational pattern formation.
- Eckehard Scholl, spatiotemporal dynamics of semiconductor systems.
- Harry Swinney, experimental pattern formation in many systems.
- Cliff Surko, experimental pattern formation, chaos in convecting flows.
- Lev Tsimring, theoretical pattern formation, biological physics.
- Wim van Saarloos.
- Jorge Vinals, theoretical pattern formation in capillary waves.