Use Python code
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Transcribed Image Text:Exercise 9A (i) Consider the Hénon attractor from week 5. Generate a set of points in the attractor (say,
105 points) for parameter values a = 1.4, b = 0.3.
(ii) Plot a graph of log N(e) against log(1/e) for sensibly chosen values of €, and by estimating its
gradient, give an estimate of the fractal dimension of the Hénon attractor. The true box-counting dimension
is 1.261 0.003. How close is your estimate?
(iii) How could you make this estimate more accurate?
(iv) Another interesting two-dimensional map which produces chaotic dynamics and a fractal attractor is the
Ikeda map. This can be written
xn+1=R+ C₂(xn costn
Yn sin tn)
Yn+1=C₂(xn sin tn + yn costn)
C3
where tn C₁
1+z2+². Taking parameters R = 1.0, c₁ = 0.4, c₂ = 0.9, c3 = 6.0, plot the Ikeda
attractor and compute its box-counting dimension.
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