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A Smooth and Discontinuous OscillatorIntroduction

A Smooth and Discontinuous Oscillator: Introduction [This introduction involves three parts. The first part presents the brief historical points about the development of oscillators which are the critical important impact on the history of nonlinear dynamics. The second part shows several examples which might help readers to understand the limitation of the classical theory of nonlinear dynamics, which stresses the reader’s attention that it is necessary to be careful when truncating a nonlinear system into a polynomial one. Finally we give close this introduction by giving the outline of this book.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Smooth and Discontinuous OscillatorIntroduction

Part of the Springer Tracts in Mechanical Engineering Book Series
Cao, Qingjie; Léger, Alain
Springer Journals — Sep 28, 2016
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9 pages

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Publisher
Springer Berlin Heidelberg
Copyright
© Springer-Verlag Berlin Heidelberg 2017
ISBN
978-3-662-53092-4
Pages
1 –10
DOI
10.1007/978-3-662-53094-8_1
Publisher site
See Chapter on Publisher Site

Abstract

[This introduction involves three parts. The first part presents the brief historical points about the development of oscillators which are the critical important impact on the history of nonlinear dynamics. The second part shows several examples which might help readers to understand the limitation of the classical theory of nonlinear dynamics, which stresses the reader’s attention that it is necessary to be careful when truncating a nonlinear system into a polynomial one. Finally we give close this introduction by giving the outline of this book.]

Published: Sep 28, 2016

Keywords: Phase Portrait; Heteroclinic Orbit; Duffing Oscillator; Power Expansion; Simple Pendulum

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