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Chaos — The Interplay Between Stochastic and Deterministic Behaviour pp 355–377Cite as

Chaotic dynamics of weakly nonlinear systems

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Part of the book series: Lecture Notes in Physics ((LNP,volume 457))

Abstract

The progress made in recent years in the study of chaotic states of weakly nonlinear systems is reviewed. We concern with the class of chaotic states pertaining to physical systems with any degree of nonlinearity however small. The conditions for, and the mechanisms of, the transition to chaos are discussed for the weakly nonlinear oscillators and compared with that for the strongly nonlinear ones. Considerable attention is given to analytical methods of the chaos onset prediction. The dynamics of Duffing-type oscillators is considered to illustrate these results.

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Authors and Affiliations

  1. Radio Astronomy Institute of the Ukrainian Academy of Sciences, 310002, Kharkov, Ukraine

    D. M. Vavriv

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  1. D. M. Vavriv
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Piotr Garbaczewski Marek Wolf Aleksander Weron

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© 1995 Springer-Verlag

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Vavriv, D.M. (1995). Chaotic dynamics of weakly nonlinear systems. In: Garbaczewski, P., Wolf, M., Weron, A. (eds) Chaos — The Interplay Between Stochastic and Deterministic Behaviour. Lecture Notes in Physics, vol 457. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60188-0_66

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  • DOI: https://doi.org/10.1007/3-540-60188-0_66

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60188-3

  • Online ISBN: 978-3-540-44722-1

  • eBook Packages: Springer Book Archive

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