"JOURNAL OF RADIO ELECTRONICS" (Zhurnal Radioelektroniki ISSN 1684-1719, N 11, 2019

contents of issue      DOI  10.30898/1684-1719.2019.11.20    full text in Russian (pdf)  

UDC 537.86

Numerical modeling of the influence of electromagnetic pulses on the operation of typical electronic self-oscillating systems


P. S. Glazunov 1, E. A. Vorobyeva 1, V. A. Vdovin 2, A. I. Slepkov 1

1 Faculty of Physics, Lomonosov Moscow State University, Leninskie Gory, 1-2, Moscow 119991, Russia

2Kotelnikov Institute of Radio Engineering and Electronics of Russian Academy of Sciences, Mokhovaya,  11-7, Moscow, 125009, Russia


The paper is received on November 19, 2019


Abstract. The results of a theoretical study of the effect of short electromagnetic pulses on the stability of the operation of clock generators are presented. The Van der Pol oscillator is used as a mathematical model of a clock generator. The dependence of the probability of generator failure on the characteristics of impulse noise, such as amplitude and duration, is investigated. It is shown that the probability of bit failure as a function of the amplitude and duration of the interference under certain conditions depends on their product. It is shown that the probability of a bit failure is highly dependent on the point in time at which the impact occurs. In the general case, the dependence of the probability of a bit failure on the moment of the onset of pulse interference has two maxima. An explanation is proposed for the presence of these maxima based on the stability of the solution of the Van der Pol equation for different operating modes of the generator.

Keywords: exposure to electromagnetic pulses, clock generator, Van der Pol oscillator, probability of failure.


1. Gaynutdinov R. R., Chermoshentsev S. F. Immunity research of the electronic systems elements at the influence of intentional electromagnetic pulses. 17th International Conference of Young Specialists on Micro/Nanotechnologies and Electron Devices EDM, 30 June – 4 July 2016, pp. 214-218. DOI: 10.1109/edm.2016.7538727

2. Klyuchnik A.V., Pirogov Yu.A., Solodov A.V. Reversible failures of integrated microchips in radio fields. Zhurnal Radioelectroniki – Journal of Radio Electronics. 2013. No.1. Available at  http://jre.cplire.ru/mac/jan13/18/text.html   (In Russian)

3. Pirogov Yu.A., Solodov A.V. Damages of integrated microcircuits in radio fields. Zhurnal Radioelectroniki – Journal of Radio Electronics. 2013. No.6. Available at   http://jre.cplire.ru/jre/jun13/15/text.pdf (In Russian)

4. Vdovin V.A., Kulagin V.V., Cherepenin V.A. Failures and malfunctions of  electronic devices due to non-thermal exposure of a short electromagnetic pulse.  Elektromagnitnye volny i elektronnye sistemy - Electromagnetic Waves and Electronic Systems. 2003. Vol.8. No.1. P.64. (In Russian)

5. Kuznetsov A.P., Seliverstova E.S., Trubeckov D.I., Tjurjukina L.V.  Phenomenon of the van der pol equation. Izvestiya vysshih uchebnyh zavedenij prikladnaya nelinejnaya dinamika  - Izvestiya Univrsities. Applied Nonlinear Dynamics. 2014. Vol.22. Np.4. P.3-42. Available at https://andjournal.sgu.ru/ru/articles/fenomen-uravneniya-van-der-polya (In Russian)

6. Tony E.L., Sadeghpour H.R. Quantum synchronization of quantum van der Pol oscillators with trapped ions. Phys. Rev. Lett. 2013. Vol.111, No.23-6. December. DOI: https://doi.org/10.1103/PhysRevLett.111.234101  Available at https://arxiv.org/pdf/1306.6359.pdf

7. Walter S., Nunnenkamp A., Bruder C. Quantum synchronization of two Van der Pol oscillators. Annalen Der Physik. 2014. Vol.527. No.1-2. P.131–138. Available at https://arxiv.org/abs/1406.7134

8. Huang, C. Multiple scales scheme for bifurcation in a delayed extended van der Pol oscillator. Physica A: Statistical Mechanics and Its Applications.  2017. Vol. 490. P.643–652. DOI:10.1016/j.physa.2017.08.035 

9. Amore P., Boyd J.P., Francisco M.F. High order analysis of the limit cycle of the van der Pol Oscillator.  Journal of Mathematical Physics. 2017. Vol.59. No.1. Available at: https://arxiv.org/pdf/1711.09978.pdf

10. Cooper M., Heidlauf P., Sands T. Controlling Chaos—Forced van der Pol Equation. Mathematics. 2017. Vol. 70.  Available at https://www.mdpi.com/2227-7390/5/4/70

11. Klimontovich Yu.L. Entropy and information of open systems. Uspekhi fizicheskih nauk  - Phys. Usp.1999. Vol.42, No.4, P. 375-384. Available at https://ufn.ru/ru/articles/1999/4/e/ (In Russian)

12. Klimontovich Yu.L.. Relative ordering criteria in open systems. Uspekhi fizicheskih nauk  - Phys. Usp. 1996. Vol.39. No.11. P.1169–1179. Available at https://ufn.ru/ru/articles/1996/11/f/ (In Russian)

13 Sklar B. Digital communications: Fundamentals and Applications, Second Edition. University of California, Los Angeles, Prentice Hall, 2001. Available at  https://www.academia.edu/38995331/DIGITAL_COMMUNICATIONS_Fundamentals_and_Applications_Second_Edition

14. Zdukhov L.N., Isaev A.P., Parfenov Yu.V., Titov B.A. The technique of estimation of immunity of digital devices to influence of ultrashort electromagnetic pulses. Zhurnal Radioelectroniki – Journal of Radio Electronics.  2011. No.5

Available at http://jre.cplire.ru/jre/may11/1/text.html (In Russian)

15. Nuriev M.G., Gizatullin R.M., Muhammadiev A.A. Research of noise immunity of computing equipment under electromagnetic impacts through the metal structure of the building on the basis of physical modeling. Zhurnal Radioelectroniki – Journal of Radio Electronics. 2019. No.4 Available at http://jre.cplire.ru/jre/apr19/8/text.pdf (In Russian)


For citation:

Glazunov P.S., Vorobyeva E.A., Vdovin V.A., Slepkov A.I. Numerical modeling of the influence of electromagnetic pulses on the operation of typical electronic self-oscillating systems. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2019. No. 11. Available at http://jre.cplire.ru/jre/nov19/20/text.pdf

DOI  10.30898/1684-1719.2019.11.20