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


For citation:

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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Language: 
Russian
Article type: 
Article
UDC: 
537.86:621.375

Transistor generators with inertial nonlinearity

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

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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Reference: 
  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).
Received: 
07.02.2008
Accepted: 
20.03.2008
Published: 
31.12.2008
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