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 12.1, Problem 7E
Interpretation Introduction

Interpretation:

Find the points in the original square that map to the square at the lower left of the Smale horseshoe figure given in the problem. To show that after the next round of the mapping, the square on the lower left contains four horizontal strips. To find where they came from in the original square. To describe the set of points in the original square that surviveforever.

Concept Introduction:

  • In the Smale horseshoe map, the horseshoe hangs over the edge of the original square. The overhanging parts are lopped off before the next iteration proceeds.

  • The Smale horseshoe map does not have a strange attractor.

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CHAPTER 1: HISTORY OF COOPERATIVES AND STATE POLICIES Questions for Critical Thinking 1. Discuss the different stages in the history of the Philippine cooperative movement 2. What do you think is meant when it is stated that "one cause for the failure of cooperatives is due to non-patronage by coop members? 3. When the principle of subsidiarity is followed, what are the different manifestations of this principle? Explain. 4. Cooperatives can promote social justice in Philippine society according to the declared policy of the state on cooperatives. Why and how? 5. Why is the recognition of the nature of man neccessary in the success of the cooperative movement? 6. The interest on capital in coops is limited but there is no such limitation in corporation. Explain. 7. How is government intervention proscribed in the declared policies of the government under the present Cooperative Code. 8. Cooperatives grant patronage refund, which is not present in corporations. How do you explain this…
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