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Introduction to Nonlinear Systems

W. M. Mansour

Table of contents

Part I

The Topological Approach

1. Introduction to phase space

2. Methods of constructing trajectories

3. General study of singular points

4. Relay-operated servomechanisms

5. Typical nonlinear systems

6. Limit cycles

Part II

The Quantitative Approach

1. Exact solutions

2. Krylov and Bogoliubov method for autonomous systems

3. The method of equivalent linearization

4. Duffing’s iteration method

5. Poincaré Perturbation Method

6. The method of Andronow and Witt for forced oscillations of self-excited systems

7. The Describing function*

9. Systems with random inputs

* O item 8 da Parte II original foi suprimido dessa edição pois estava com qualidade gráfica muito inferior à do restante do material.
Item 8 of Part II was not included in this edition because it was in much lower graphic quality than the rest of the originals.

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