Parametric chaos generator operating on a varactor diode with the instability limitation decay mechanism
- 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.
Author details: | Sergey P. Kuznetsov |
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DOI: | https://doi.org/10.1134/S1063784216030129 |
ISSN: | 1063-7842 |
ISSN: | 1090-6525 |
Title of parent work (English): | Technical Physics |
Publisher: | Pleiades Publ. |
Place of publishing: | New York |
Publication type: | Article |
Language: | English |
Year of first publication: | 2016 |
Publication year: | 2016 |
Release date: | 2020/03/22 |
Volume: | 61 |
Number of pages: | 10 |
First page: | 436 |
Last Page: | 445 |
Funding institution: | Russian Foundation for Basic Research [15-02-02893] |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
Peer review: | Referiert |