Studies on the Nonlinear Dynamics of Two Coupled Microwave Oscillators

Authors

  • Manaj Dandapathak  Department of Physics, Ramkrishna Mahato Government Engineering College,Purulia, Agharpur, Purulia, West Bengal, India

DOI:

https://doi.org//10.32628/IJSRSET1173828

Keywords:

Ultrasonic velocity, Binary mixtures, FLT and Intermolecular interaction

Abstract

The nonlinear dynamics of two bilaterally coupled Gunn oscillators (BCGO) has been tried to explain theoretically by considering the cubic type nonlinear model of Gunn oscillator. To explain the dynamics, Melnikov’s technique is used. From analytical point of view it is possible to predict the values of coupling factors and set of parameters zone for which the system dynamics may be chaotic. Effect of coupling factors on the two systems have also been calculated numerically and it is observed that numerical results are nearly similar with analytical prediction.

References

  1. York R.A and Popovic Z.B “Active and quasi optical array for solid state power combining” Willey-1997.
  2. Navaro J.A and Chang. K “Integrated active antennas and optical power combining” Willey- 1996.
  3. Birkeland J and Itoh T “A 16 element quasi- optical FET oscillator power combining array with external injection locking” IEEE, Trans Microwave theory Tech, 1992, Vol. 40(3), pp- 475-481.
  4. C. Sarkar, D. Sarkar, S. Sarkar, and J. Chakraborty “Studies on the dynamics of bilaterally coupled X-band Gunn Oscillators” PIER-B, Vol. 32, pp- 149-167, 2011.
  5. V, S. Astakhov and T. Vadivasova “Phase dynamics of two coupled oscillators under external periodic force” Europhysics Letters, Vol. 86, 2009.
  6. A.Lieberman and A.J. Lichtenberg, Regular and Stochastic Motion (Springer, Berlin)
  7. Simiu E. Melnikov process for stochastically perturbed, slowly varying oscillator: application to a model of wind driven coastal currents. J Appl Mech 1996; 63 (June) :429-35.
  8. Dandapathak, B C Sarkar, Nonlinear Dynamics of Optical Costas Loop with Inherent Time Delay, Optik, Int. J. of Light Electron Opt. (2014).
  9. M. Dandapathak, B. C. Sarkar, “Nonlinear Dynamics of Optical Costas Loop with Inherent Time Delay”, Optik. 126 (24), (2015)

International Journal of Scientific Research in Science, Engineering and Technology

Downloads

Published

2017-12-27

Issue

Volume 3, Issue 8, November-December-2017

Section

Research Articles

License

Copyright (c) IJSRSET

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
Manaj Dandapathak, " Studies on the Nonlinear Dynamics of Two Coupled Microwave Oscillators, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 3, Issue 8, pp.1391-1395, November-December-2017. Available at doi : https://doi.org/10.32628/IJSRSET1173828