(a) Find and classify the fixed points of period one of the Hnon map defined by xn+1...

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(a) Find and classify the fixed points of period one of the Hénon map defined by xn+1 = 1 −

9 5

x2 n + yn, yn+1 =

1 5

xn.

[8]

424 18. Examination-Type Questions

(b) Consider the complex iterative equation En+1 = A + BEn exp(i|En|2).

Derive the inverse map and show that d|A|2 d|ES|2 = 1 + B2 + 2B(|ES|2 sin |ES|2 − cos |ES|2), where ES is a steady-state solution.

[12]

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Dynamical Systems With Applications Using Mathematica

ISBN: 978-3319870892

1st Edition

Authors: Stephen Lynch

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Question Posted: Sep 19, 2024 06:00 AM

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(a) Find and classify the fixed points of period one of the Hnon map defined by xn+1...

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Dynamical Systems With Applications Using Mathematica

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