Part of the book series: Mathematics and Its Applications ((MAIA,volume 64))

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Abstract

The normal form of a system making a Hopf bifurcation generically breaks rotational invariance z → z exp. We study the consequences of this effect on the corre-lation function and show that observable new peaks appear in the spectral density ∆(κ).

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References

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© 1991 Springer Science+Business Media Dordrecht

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Buceta, R.C., Tirapegui, E. (1991). Effect of Noise on a Hopf Bifurcation. In: Tirapegui, E., Zeller, W. (eds) Instabilities and Nonequilibrium Structures III. Mathematics and Its Applications, vol 64. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3442-2_15

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  • DOI: https://doi.org/10.1007/978-94-011-3442-2_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5522-2

  • Online ISBN: 978-94-011-3442-2

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