rmsche3302
180px-Lorenz_attractor_yb.svg
the Lorenz curve
Edward lorenz pioneered into a topic called chaos. He started with the weather trying to improve forecasts. He looked at data of regions and there temperatures air flow and any other variables that he could coordinate. They were poured into a computer for analysis and he would look for a pattern. There was none which led him to see how random something could be. Wheather was a problem that was to complex so he started with an easier one. a pendulum, it was still two dimensional but led to a way in seeing things that had not previously been used. The aplications helped to unmystify jupiters red spot. The randomness that was occuring in the swirls and its seeming ly random movement leaned toward an attractor. an attractor was a point in the graph of phase space. in the graph of the pendulum the axes for graphing were speed on one axis and ange measure on the other. It did not matter the varience of the pendulum it was always attracted to one point, the farthest descent it could make which is when it is at rest. This attractor existed as a point on the graph. some attractors are not points but lines which make curves. The elements of the system whil be attracted to these lines. in the picture there is an expariment where a waterwheel with cylinders of fluid are attached at the circumference and filled with water. there is a hole in the bottom of the cylinders so the water can leak out. when the cylinders are filled with fluid the wheel turns and the pattern of its turning is never repeated. The system does have an attrator though. when energy is put in the system and a given position is available the results of its turning will always mirror the graph. This method of representing things in a new way led to the prediction of trends never before seen. An example given included the spread of small pox and measels. The data collected was random and seemed to have no direction but when organized by the new method an attractor was existant. The next move of the medical problem was applicably apparent.
Gleick , James. Chaos making a new science (Penguin Group,New York, New York 10010 U.S.A.,1987)
180px-Lorenz_attractor_yb.svg
the Lorenz curve
Edward lorenz pioneered into a topic called chaos. He started with the weather trying to improve forecasts. He looked at data of regions and there temperatures air flow and any other variables that he could coordinate. They were poured into a computer for analysis and he would look for a pattern. There was none which led him to see how random something could be. Wheather was a problem that was to complex so he started with an easier one. a pendulum, it was still two dimensional but led to a way in seeing things that had not previously been used. The aplications helped to unmystify jupiters red spot. The randomness that was occuring in the swirls and its seeming ly random movement leaned toward an attractor. an attractor was a point in the graph of phase space. in the graph of the pendulum the axes for graphing were speed on one axis and ange measure on the other. It did not matter the varience of the pendulum it was always attracted to one point, the farthest descent it could make which is when it is at rest. This attractor existed as a point on the graph. some attractors are not points but lines which make curves. The elements of the system whil be attracted to these lines. in the picture there is an expariment where a waterwheel with cylinders of fluid are attached at the circumference and filled with water. there is a hole in the bottom of the cylinders so the water can leak out. when the cylinders are filled with fluid the wheel turns and the pattern of its turning is never repeated. The system does have an attrator though. when energy is put in the system and a given position is available the results of its turning will always mirror the graph. This method of representing things in a new way led to the prediction of trends never before seen. An example given included the spread of small pox and measels. The data collected was random and seemed to have no direction but when organized by the new method an attractor was existant. The next move of the medical problem was applicably apparent.
Gleick , James. Chaos making a new science (Penguin Group,New York, New York 10010 U.S.A.,1987)