(a) Find and classify the fixed points of period one for the Hnon map xn+1 = 1.5...

(a) Find and classify the fixed points of period one for the Hénon map xn+1 = 1.5 + 0.2yn − x2 n, yn+1 = xn.

Find the approximate location of fixed points of period two if they exist. Plot a chaotic attractor using suitable initial conditions.

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(b) Using the derivative method, compute the Lyapunov exponent of the logistic map xn+1 = μxn(1 − xn), when μ = 3.9.

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