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Self-Excited Oscillations in Multifrequency Systems

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Oscillations and Waves

Part of the book series: Mathematics and Its Applications () ((MASS,volume 50))

Abstract

The diagram of a two-circuit generator used by Van der Pol, Andronov and Vitt (see [5,11]) is shown in Fig. 16.1. At the time, the most important effects typical of the interactions between “elementary generators” had been observed, e.g., effects we considered in the previous chapter for the Van der Pol generator [6] such as mode competition, synchronization, and frequency pulling [3,4]. It was interesting that because of the nonlinearity in the Van der Pol generator even the fairly trivial effect of the simultaneous generation of two modes, that is possible when there is weak linkage (the case is typical, for example, for a gas laser with nonhomogeneous broadening of the lines in the spectra of the active material) went unnoticed in the papers by Andronov and Van der Pol [11].

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References

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© 1989 Kluwer Academic Publishers

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Rabinovich, M.I., Trubetskov, D.I. (1989). Self-Excited Oscillations in Multifrequency Systems. In: Oscillations and Waves. Mathematics and Its Applications (Soviet Series), vol 50. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1033-1_16

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  • DOI: https://doi.org/10.1007/978-94-009-1033-1_16

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6956-4

  • Online ISBN: 978-94-009-1033-1

  • eBook Packages: Springer Book Archive

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