ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Nikolaev S. M., Hohlov A. V., Anishchenko V. S. Transistor generators with inertial nonlinearity. Izvestiya VUZ. Applied Nonlinear Dynamics, 2008, vol. 16, iss. 5, pp. 12-20. DOI: 10.18500/0869-6632-2008-16-5-12-20

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Transistor generators with inertial nonlinearity

Nikolaev Sergej Mihajlovich, Saratov State University
Hohlov Artur Veniaminovich, Saratov State University
Anishchenko Vadim Semenovich, Saratov State University

We present the electronic scheme of generator with inertial nonlinearity on operational amplifiers and field-effect transistors. The amplification coefficient in the generator is determined analytically, it is controlled by a field-effect transistor. The differential equations of the generator are derived strictly and consecutively. In the experiment we show, that the proposed scheme demonstrates the cascade of period-doubling bifurcations of transition to chaos.

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  1. Teodorchik KF. Self-oscillating systems with inertial nonlinearity. Sov. Tech. Phys. 1946;16(7):845–854 (in Russian).
  2. Landa PS. Self-Oscillations in Systems with a Finite Number of Degrees of Freedom. Moscow: Nauka; 1980. 360 p. (in Russian).
  3. Anischenko VS, Astakhov VV. Experimental study of the mechanism of occurrence and structure of a strange attractor in a generator with inertial nonlinearity. Radio Engineering and Electronic Physics. 1983;28(6):1109–1115 (in Russian).
  4. Astakhov. VV. Mechanisms of the transition to stochasticity in a generator with inertial nonlinearity. PhD thesis. Saratov: Saratov State University; 1983. 307 p. (in Russian).
  5. Anischenko VS. Complex Vibrations in Simple Systems. Moscow: Nauka; 1990. 318 p. (in Russian).
  6. Khokhlov AV. Nonlinear and Parametric Radio Circuits and Systems with Semiconductor Devices. Saratov: Saratov University Publishing; 1994. 127 p. (in Russian).
  7. Anishchenko VS, Nikolaev SM. Generator of quasi-periodic oscillations featuring two-dimensional torus doubling bifurcations. Tech. Phys. Lett. 2005;31(10):853–855. DOI: 10.1134/1.2121837.
  8. Khokhlov AV. Semiconductor Amplifiers and Oscillators. Saratov: Saratov University Publishing; 1997. 191 p. (in Russian).
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