EBK NONLINEAR DYNAMICS AND CHAOS WITH S
EBK NONLINEAR DYNAMICS AND CHAOS WITH S
2nd Edition
ISBN: 9780429680151
Author: STROGATZ
Publisher: VST
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Chapter 11.4, Problem 2E
Interpretation Introduction

Interpretation:

To find the box dimension of Sierpinski carpet (refer figure 1 of exercise 11.3.8). The closed unit box is divided into nine equal boxes, and the open central box is deleted. This process is repeated for each of the eight remaining sub boxes and so on.

Concept Introduction:

  • Determine self-similar set m.

  • Determine the scaled-down factor r.

  • Use the dimension formula.

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