Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
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Chapter 5.3, Problem 4E
Interpretation Introduction

Interpretation:

To analyze the water and fire system on similar to Romeo and Juliet system by phase diagram of differential equations

R˙ = aR + bJ and J˙ = -bR - aJ

Concept Introduction:

According to the system used, this means that the Romeo gets excited, when Juliet loves him and also gets excited because of his own loving feelings for her. While Juliet on the other hand, Hates Romeo, when he loves her and also gets disappointed and hates Romeo, when she herself feels love about him.

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10 5 Obtain by multiplying matrices the composite coordinate transformation of two transformations, first x' = (x + y√√2+2)/2 y' = z' (x√√2-2√2)/2 z = (-x+y√√2-2)/2 followed by x" = (x'√√2+z'√√2)/2 y" = (-x'y'√√2+2')/2 z" = (x'y'√√2-2')/2.
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