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Abstract

A number of genuine phenomena occurring in nature calls for nonlinearity to be described properly. Among them, chaotic dynamics is the most puzzling and intriguing one. It has been found that systems with chaotic dynamics abound in nature, and examples can be drawn from almost any scientific discipline. This tutorial presents an overview of some basic methods in the field of nonlinear dynamics.1 In particular, questions of embedding data into high-dimensional spaces are addressed.2.3

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References

  1. W. Lauterbom and U. Parlitz, Methods of chaos physics and their application to acoustics, J. Acoust. Soc. Am. 84: 1975–1993 (1988).

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  2. H. D. I. Abarbanel, Analysis of Observed Chaotic Data, Springer, New York (1996).

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  3. H. Kantz and T. Schreiber, Nonlinear Time Serie Analysis, Cambridge University Press, Cambridge (1997).

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© 1999 Springer Science+Business Media New York

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Lauterborn, W. (1999). Nonlinear Dynamics. In: Bersani, F. (eds) Electricity and Magnetism in Biology and Medicine. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4867-6_48

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  • DOI: https://doi.org/10.1007/978-1-4615-4867-6_48

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7208-0

  • Online ISBN: 978-1-4615-4867-6

  • eBook Packages: Springer Book Archive

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