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Transforming to Chaos by Normal Forms

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Continuum Models and Discrete Systems

Part of the book series: NATO Science Series ((NAII,volume 158))

Abstract

Roepstorff’s algebraic approach for the Lyapunov exponent calculation implies an approximation scheme. The possibility of using normal forms as this approx-imation for estimating Lyapunov exponents and attractor extents in resonant sys-tems with the Hopf bifurcation property is studied. The Khomeriki NMR system has been studied as an example of the inconsistency between different chaoticity criteria.

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References

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Author information

Authors and Affiliations

  1. Information Technologies Department, Isik University, 34398, Maslak, Istanbul, Turkey

    Avadis Hacinliyan, Nazim Ziya Perdahci & Gokhan Sahin

  2. Physics Department, Bogazici University, 34342, Bebek, Istanbul, Turkey

    H. Ahmet Yildirim

Authors
  1. Avadis Hacinliyan
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  2. Nazim Ziya Perdahci
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  3. Gokhan Sahin
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  4. H. Ahmet Yildirim
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Editor information

Editors and Affiliations

  1. School of Physics and Astronomy, Raymond & Beverley Sackler Faculty of Exact Sciences, Tel Aviv University, Israel

    David J. Bergman

  2. Department of Mathematics, Faculty of Art and Sciences, Isik University, Istanbul, Turkey

    Esin Inan

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© 2004 Springer Science+Business Media Dordrecht

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Hacinliyan, A., Perdahci, N.Z., Sahin, G., Yildirim, H.A. (2004). Transforming to Chaos by Normal Forms. In: Bergman, D.J., Inan, E. (eds) Continuum Models and Discrete Systems. NATO Science Series, vol 158. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-2316-3_4

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  • DOI: https://doi.org/10.1007/978-1-4020-2316-3_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-2315-6

  • Online ISBN: 978-1-4020-2316-3

  • eBook Packages: Springer Book Archive

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