Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780429972195
Author: Steven H. Strogatz
Publisher: Taylor & Francis
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Chapter 9.1, Problem 2E
Interpretation Introduction

Interpretation:

To analyse the behaviour of the higher modes of the waterwheel equation.

  • (a) To show that for 1, all modes an, bn 0 ast  ifQ(θ) =q1 cosθ.

  • (b) To analyse the case where Q(θ) = n=0qncos(nθ).

Concept Introduction:

  • ➢ The fixed point of a differential equation is the point where f(x*) = 0 ; while substitution f(x*) = x˙ is used and x&*#x00A0;is a fixed point.

  • ➢ The values for which parameters of a differential equation have a non-zero solution under given conditions are called Eigen values.

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