Edward Lorenz, Father of Chaos Theory, Dies at 90
An anonymous reader writes "Professor Edward N. Lorenz, who discovered in 1961 that subtle changes in the initial conditions of a weather simulation program could cause very large differences in its results, died of cancer Wednesday at the age of 90. The contributions of the father of chaos theory, who coined the term 'the butterfly effect' and also discovered the Lorenz Attractor, are best summarized by the wording of the Kyoto Prize in 1991 which noted that his discovery of chaos theory 'profoundly influenced a wide range of basic sciences and brought about one of the most dramatic changes in mankind's view of nature since Sir Isaac Newton.'"
You might get modded troll or flamebait by the people who didn't understand your subtle reference. It could have been a butterfly taking off in New Mexico though. We aren't quite sure.
A great man whose contributions will be remembered for centuries to come has passed. I think I'm going to fire up a fractal generator and play with Lorenz Attractors now.
Its controversial that he was the first. A lot of people worked on this area. In fact, it is controversial that chaos will ever contribute to science in any way. The pure mathematical theory is very hard. See the work by Curt McMullen for example. Many people I know are very skeptical, and there are a lot of bad papers purporting to use chaos theory.
Flow in the title of Lorentz paper is not a flow from fluid dynamics or physics. It's a purely mathematical term which mean a solution of differential equation (Lorentz equation in the case). In more general sense flow is a group action of R on the manifold - that is solution of the differential equation on the curved surface. It's studied by specific branches of mathematics - Differential (topological) dynamics, which in big parts owes its origination to the Lorentz paper. So the title of the paper really mean "Deterministic Nonperiodic Solutions"
Here's a simple chaos experiment you can do at home... Turn on a faucet slightly so that it drips regularly. Then increment the flow slightly, and pretty soon the drips will come out in a non-regular way. Understanding the transition from regular to irregular is part of what chaos theory is about.
No, they discovered chaotic systems but did not identify chaos theory. Their discoveries are analogous to Kepler's equations of planetary motion versus Newton's formal theory of gravity. Or Faraday's studies of the electric and magnetic fields versus Maxwell's formal electrodynamic theory. Hadamard, Lyapunov, and Poincaré made great contributions, but they did not found chaos theory. They observed individual problems but failed to piece it together in the more general mathematical theory. I don't fault any of them. Nonlinear dynamics was only in its infancy during their lives.
I saw a program on the Mandelbrot set and Lorenz attractor on PBS in the late 80's. Completely changed the way I thought about the world. Also where I discovered Fractint.
http://www.fractint.org/