hw13 - 1 / 2 1-x, 1 / 2 < x < 1 Hint:...

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Phys. 4267/6268 Assignment 13 Do problems 10.4.6, 10.4.7, 10.5.2, 10.6.3 from Strogatz. Problem 5 Compute the invariant density ρ ( x ) and the Lyapunov exponent λ for the following maps x n +1 = f ( x n ): (a) The piecewise linear map f ( x ) = ± 2 x, 0 < x <
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Unformatted text preview: 1 / 2 1-x, 1 / 2 &lt; x &lt; 1 Hint: Since the map is piecewise linear, you may choose ( x ) to be piecewise constant. (b) The logistic map f ( x ) = 4 x (1-x ) . Hint: Use conjugacy with the tent map....
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This note was uploaded on 08/25/2011 for the course PHY 4267 taught by Professor Grigoriev during the Fall '10 term at Georgia Institute of Technology.

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