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Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu


Equations and Stable Modes of Parametron

Journal of Applied Nonlinear Dynamics 5(4) (2016) 391--398 | DOI:10.5890/JAND.2016.12.002

O.V. Privalova; L.V. Shtukin; D.Yu. Skubov

Department of Mechanics and Processes of Control, St.-Petersburg, Polytechnic University, IPME RAS, Russia

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Abstract

This work is devoted to investigation of nonlinear electric circuit—the resonance scheme with nonlinear reactive element. The role of this non-linearity plays the saturation of magnetic transformed coupling. The stationary mode in this scheme is supported by generator of alternating current. The idea of work of parametron is an opportunity of two stationary modes of current corresponded to borders of the main zone of parametrical resonance. These modes are used as binary logical states with high-frequency ability of switching. The efficiency of this scheme increases with growth of frequency and simultaneously decreasing of scale. The aim of this article is a summarizing of the method of study for scheme of this type for this and some analogous devices.

Acknowledgments

The study was carried out by support of grant RFBR RAS 14-01-00845.

References

  1. [1]  Wong, W. F., and Gotos, E. (1994), Fast hardware-based algorithms for elementary function computations using rectangular multipliers, IEEE Transactions on Computers, 43 (3), 278–294,
  2. [2]  Morris-Suzuki, T. (1994), The technological transformation of Japan: from the seventeenth to the twenty-first century, Cambridge University Press, Cambridge.
  3. [3]  Greer, J., Korkin, A., Labanowski, J. (2003), Nano and Giga Challenges in Microelectronics, Elsevier: Amsterdam.
  4. [4]  Mahboob, I., Yamaguchi, H. (2008), Big storage and flip operations in an electromechanical oscillator, Natural Nanotechnology, 3, 275-279.
  5. [5]  Rudenberg R. (1968), Nonharmonic oscillations as caused by magnetic saturation, Trans. Am. Inst. Elec. Engineers, 68, 676-685
  6. [6]  Javorskij , B.M., Detlaf , A.A. (2006), Reference Book on physics – M.: Onics (in Russian).
  7. [7]  Skubov, D.Yu., Khodzhaev, K.Sh. (2008), Non-Linear Electromechanics, Springer : Dordrecht.
  8. [8]  Hayashi, C. (1964), Nonlinear Oscillations in Physical Systems, McGraw-Hill, Toronto.
  9. [9]  Cherkesova, L.V. (2009), The survey of modern state application of nonlinear parametrical zone resonators in electronic equipment and prospects of their subsequent development in XXI century, Achievements of Modern Radioelectronics, 12.
  10. [10]  Wang, T., Roychowdhury, J. (2014), PHLOGON: Phase-based LOGic using Oscillatory Nano-systems, Pr. Conference UCTC 2014, V.8553 of the series Notes in Computer Science, pp.353-366.
  11. [11]  Likharev, K.K., Korotkov, A.N. (1998), Single-electron parametron, VLSI Design, 6(1-4), 43-46.