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Parametric chaos generator operating on a varactor diode with the instability limitation decay mechanism

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Abstract

Equations are derived for a parametric chaos generator containing three oscillatory circuits and a variable-capacitance diode (varactor) and are reduced to equations for slow amplitudes of parametrically interacting modes. With allowance for quadratic nonlinearity, the problem is reduced to a system of three first-order differential equations for Pikovsky–Rabinovich–Trakhtengerts real amplitudes with a Lorenz-type attractor. In a more accurate description of nonlinearity of the varactor, the equations for slow amplitudes are complex-valued, which leads to the loss of robustness of chaotic dynamics, which is typical of the Lorenz attractor. The results of numerical calculations (portraits of attractors and Lyapunov exponents) in models with different approximation levels are compared.

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Authors and Affiliations

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

    S. P. Kuznetsov

  2. Chernyshevskii State University, Astrakhanskaya ul. 83, Saratov, 410012, Russia

    S. P. Kuznetsov

  3. Potsdam University, Potsdam, 14469, Germany

    S. P. Kuznetsov

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Correspondence to S. P. Kuznetsov.

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Original Russian Text © S.P. Kuznetsov, 2016, published in Zhurnal Tekhnicheskoi Fiziki, 2016, Vol. 86, No. 3, pp. 118–127.

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Kuznetsov, S.P. Parametric chaos generator operating on a varactor diode with the instability limitation decay mechanism. Tech. Phys. 61, 436–445 (2016). https://doi.org/10.1134/S1063784216030129

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