Classical Dynamics of Particles and Systems · Problem 4-20

Gravitation — Marion & Thornton

Physics — Mechanics · henon-map

Problem

Consider the Henon map described by xn+1=yn+1−axn2x_{n+1} = y_n + 1 - ax_n^2 yn+1=bxny_{n+1} = bx_n Let a=1.4a = 1.4 and b=0.3b = 0.3, and use a computer to plot the first 10,000 points (xn,yn)(x_n, y_n) starting from the initial values x0=0x_0 = 0, y0=0y_0 = 0. Choose the plot region as −1.5<x<1.5-1.5 < x < 1.5 and −0.45<y<0.45-0.45 < y < 0.45.

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