Skip to main content
SpringerLink
Log in

Differential Equations for Trigger and Multivibrator

  • THEORY OF RADIO CIRCUITS
  • Published:
Journal of Communications Technology and Electronics Aims and scope Submit manuscript

Abstract

Differential equations are derived for a symmetric transistor trigger and multivibrator. It is shown that the equations can be derived using the author’s expression for the current characteristic of a common-emitter transistor amplifier based on the Lambert W function (in spite of the fact that the equations can be formulated using different characteristics). The equilibrium state for the differential equations of the trigger is studied. Slow and fast motions are analyzed for the differential equations of the multivibrator. A numerical solution for the multivibrator is presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.

Similar content being viewed by others

REFERENCES

  1. A. E. Kitaev, Radiotekhnika, No. 1, 74 (2020).

  2. A. E. Kitaev, Radiotekhnika, No. 10, 189 (2017).

  3. A. E. Dubinov, I. D. Dubinova, and S. K. Saikov, Lambert W Function and Its Application in Mathematical Problems of Physics (Sarov, 2006).

    MATH  Google Scholar 

  4. A. A. Andronov, A. A. Vitt, and S. E. Khaikin, Theory of Oscillators (Fizmatlit, Moscow, 1959; Pergamon, Oxford, 1966).

  5. A. E. Kitaev, Nelin. Mir, No. 5, 16 (2018).

    Google Scholar 

  6. V. L. Bonch-Bruevich and S. G. Kalashnikov, Physics of Semiconductors (Nauka, Moscow, 1990).

    Google Scholar 

  7. I. P. Stepanenko, Fundamentals of the Theory of Transistors and Transistor Circuits (Energiya, Moscow, 1977).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Frunze Research and Production Association, 603951, Nizhny Novgorod, Russia

    A. E. Kitaev

Authors
  1. A. E. Kitaev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. E. Kitaev.

Additional information

Translated by A. Chikishev

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kitaev, A.E. Differential Equations for Trigger and Multivibrator. J. Commun. Technol. Electron. 66, 606–612 (2021). https://doi.org/10.1134/S1064226921050077

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064226921050077

Search

Navigation