TY  - JOUR
A1  - Kuznetsov, Sergey P.
T1  - Parametric chaos generator operating on a varactor diode with the instability limitation decay mechanism
JF  - Technical Physics
N2  - 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.
Y1  - 2016
U6  - https://doi.org/10.1134/S1063784216030129
SN  - 1063-7842
SN  - 1090-6525
VL  - 61
SP  - 436
EP  - 445
PB  - Pleiades Publ.
CY  - New York
ER  -