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Examples of self-oscillatory systems with two or more degrees of freedom

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Regular and Chaotic Oscillations

Part of the book series: Foundations of Engineering Mechanics ((FOUNDATIONS))

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Abstract

A triode generator with an additional circuit is the best known example of a self-oscillatory system with two degrees of freedom. Van der Pol the first to study such a generator [351]. Later these generators were studied in detail by Andronov and Vitt [4] and by Skibarko and Strelkov [309]. An interesting and important phenomenon, having come to be known as the frequency hysteresis, occurs in such a generator. This phenomenon consists in that the self-oscillation frequency depends on the system pre-history.

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© 2001 Springer-Verlag Berlin Heidelberg

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Landa, P.S. (2001). Examples of self-oscillatory systems with two or more degrees of freedom. In: Regular and Chaotic Oscillations. Foundations of Engineering Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45252-2_8

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  • DOI: https://doi.org/10.1007/978-3-540-45252-2_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07423-3

  • Online ISBN: 978-3-540-45252-2

  • eBook Packages: Springer Book Archive

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