Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
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Chapter 5.1, Problem 2E
Interpretation Introduction

Interpretation:

To show that for the system x˙ = ax, y˙ = - y, where a < -1, all trajectories become parallel to the y- direction as t, and parallel to the x- direction as t

Concept Introduction:

A two dimensional linear system is given as

x˙ = ax + byy˙ = cx + dy

If the slope dydx = 0, all trajectories become parallel to the x- direction.

If the slope dydx = , all trajectories become parallel to the y- direction.

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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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