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Chaotic behaviour in nonlinear oscillators

Iyengar, RN (1993) Chaotic behaviour in nonlinear oscillators. In: GAMM '92, 24-28 March 1992, Leipzig, Germany, T46-53.

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The author asks, in the limit the initial variances go to zero, does the response variance in time also go to zero? If it does, the author calls the given nonlinear system deterministic, otherwise the system is chaotic. It may be noted that this definition characterizes stochastically the dependence of the system on the initial conditions. What are the implications of this point of view? This is best followed by taking a typical nonlinear oscillator, which has been studied by other investigators, for the existence of chaos.

Item Type: Conference Paper
Publisher: Wiley Inter Science
Additional Information: Copyright of this article belongs to Wiley Inter Science.
Keywords: chaos;oscillations;stochastic processes
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 09 Jan 2008
Last Modified: 12 Jan 2012 06:51
URI: http://eprints.iisc.ac.in/id/eprint/11114

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