Rayleigh-Benard Convection
Rayleigh-Benard Convection
Rayleigh-Benard Convection
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Other work-Lyapunov Exponents• Chaos exhibits the “Butterfly Effect”—sensitivity to Initial Conditions• “Does the Flap of a Butterfly’s Wings in Brazil set off a Tornado inTexas?” —Lorenz, 1972• Lyapunov Exponent λ is a measure of this sensitivity to initialconditions: δu(t) = δu(0)e λt• Positive Lyapunov Exponent → exponential divergence of nearbytrajectories δu(0) → system is chaotic→
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