Rising Above_ Dubai Floods and the Fortitude of Dubai International Airport.pdf
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1. Strange Attractors From Art to Science J. C. Sprott Department of Physics University of Wisconsin - Madison Presented to the University of Wisconsin - Madison Physics Colloquium On November 14, 1997
7. Solutions Are Seldom Chaotic Chaotic Data (Lorenz equations) Solution of model equations Chaotic Data (Lorenz equations) Solution of model equations Time 0 200 x 20 -20
8. How common is chaos? Logistic Map x n +1 = Ax n (1 - x n ) -2 4 A Lyapunov Exponent 1 -1
9. A 2-D Example (Hénon Map) 2 b -2 a -4 1 x n +1 = 1 + ax n 2 + bx n -1
25. Chaotic Surrogate Models x n +1 = .671 - .416 x n - 1.014 x n 2 + 1.738 x n x n -1 +.836 x n -1 -.814 x n -1 2 Data Model Auto-correlation function (1/ f noise)
Keynote address at meeting of Society for Chaos Theory in Psychology and the Life Sciences last summer New technology - PowerPoint Entire presentation available on WWW