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On the feasibility of a parametric generator of hyperbolic chaos

  • Statistical, Nonlinear, and Soft Matter Physics
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Abstract

A chaos generator consisting of two subsystems is considered. Each subsystem is a pair of parametrically coupled oscillators whose free-running frequencies differ by a factor of two. The subsystems are alternately driven by the third harmonic of a basic frequency, and energy is transferred between them through signal squarers. Based on a qualitative analysis and numerical results, a hypothesis is put forward that the system implements a hyperbolic strange attractor.

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Authors and Affiliations

  1. Saratov Branch, Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Saratov, 410019, Russia

    S. P. Kuznetsov

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  1. S. P. Kuznetsov
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Correspondence to S. P. Kuznetsov.

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Original Russian Text © S.P. Kuznetsov, 2008, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2008, Vol. 133, No. 2, pp. 438–446.

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Kuznetsov, S.P. On the feasibility of a parametric generator of hyperbolic chaos. J. Exp. Theor. Phys. 106, 380–387 (2008). https://doi.org/10.1134/S1063776108020167

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