Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
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Chapter 3.5, Problem 7E
Interpretation Introduction

Interpretation:

To find the dimensions of the system dimensional parameters r, K, N0. To show that the system can be rewritten in the dimensionless form dx = x(1-x), x(0) = x0. To find a different non-dimensionalization in terms of variable u and τ, where u is chosen with initial condition u0= 1. To mention the advantages of non-dimensionalization.

Concept Introduction:

Express the equation in dimension less form.

Rewrite the equation using the initial condition.

Use dimensionless parameter to rewrite the logistic equation.

Non-dimensionalize and simplify the equation to reduce the number of parameters.

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