Experimental Studies on Chaotic Dynamics of Periodically Driven Rayleigh-Duffing Oscillator

Authors

  • Manaj Dandapathak  Assistant Professor of Physics, Ramkrishna Mahato Govt. Engineering College, Purulia, Agharpur, Purulia, West Bengal, India

DOI:

https://doi.org//10.32628/CSEIT1831658

Keywords:

Duffing Oscillator, Rayleigh Duffing Oscillator, Chaos

Abstract

Chaotic dynamics of periodically driven Rayleigh Duffing oscillator has been studied experimentally with the help of an OPAMP based circuit diagram. Nonlinear equation of RDO oscillator has been designed by using a series of OPAMP. With the help a oscilloscope phase plane plot of oscillation has been plotted and with the help of a spectrum analyzer frequecy spectrums of different oscillations have been checked. Experimental observation

References

  1. J. Sun, Y. Shen, Q. Yin, C. Xu, Compound synchronization of four memristor chaotic oscillator system and secure communication, Chaos, 23, 013140, 2013
  2. M. A. Barron, M. Sen, Synchronization of four coupled van der oscillators, Nonlinear Dynamics, 56, 357-367, 2009
  3. R. M. Guerra, W. Yu, Chaotic synchronization and secure mode communicationvia sliding mode observer, International Journal of Bifurcation and Chaos, 18 (1), 235-243, 2008
  4. J. H. Bo, Z. L. Ping, Y. J. Jiang, Complex dynamics analysis of impulsive coupled duffing oscillators with ring structure, Chin. Physics. B, 24 (2), 2015, 020502
  5. M. S. Patel, U. Patel, A. Sen, G. C. Sethia, C. Hens, S. K. Dana, U. Feudel,, K. Showalter, C. N. Ngonghala, R. E. Amritkar, Experimental Observation of extreme multisatbility in an electronic system of two coupled Rossler oscillators, Physical Review E, 89, 022918, 2014
  6. Steven. H. Strogatz, From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators, Physica D, 140, 1-20, 2000
  7. S. Wirkus, R. Rand, The Dynamics of two coupled Van der Pol oscillators with delay coupling, Nonlinear Dynamics, 30, 205-221, 2002
  8. R. Sandra, A. S. marcelo, An analysis of heart rhythm dynamics using a three coupled oscillator model, Chaos, Solitons and Fractals, 41, 2553-2565, 2009
  9. V. L. Maistrenko, Y. L. Maistrenko, E .Mosekilde, Chaotic synchronization and antisynchronization in coupled sine maps, International Journal of Bifurcation and Chaos, 15 (7), 2161-2177, 2005
  10. K. Sato, Y. Kuramoto, M. Ohtaki, Y. Shimamoto, S. Ishiwata, Locallay and Globally coupled oscillators in muscle, Physical Review Letters, 111, 108104, 2013
  11. J. Peng, L. Wang, Y. Zhao, S. Guo, Synchronization and bifurcation in limit cycle oscillators with delayed coupling, International Journal of Bifurcation and Chaos, 21(11), 3157-3169, 2011
  12. X. Zhang, Y. Wu, J. Peng, Analytical conditions for amplitude death induced by conjugative variable couplings, International Journal of Bifuraction and Chaos, 21 (1), 225-235, 2011
  13. A. Chakraborty, A. Ray, S. Basak, A. Roychowdhury, On a study of optically coupled memristive Chua circuits, Physics Letters A
  14. A. Koseska, E. Volkov, J. Kurths, Transition from amplitude to oscillation death via turning bifurcation, Physical review Letters ,111 (2013), 024103

Downloads

Published

2017-12-30

Issue

Section

Research Articles

How to Cite

[1]
Manaj Dandapathak, " Experimental Studies on Chaotic Dynamics of Periodically Driven Rayleigh-Duffing Oscillator , IInternational Journal of Scientific Research in Computer Science, Engineering and Information Technology(IJSRCSEIT), ISSN : 2456-3307, Volume 2, Issue 6, pp.1372-1376, November-December-2017. Available at doi : https://doi.org/10.32628/CSEIT1831658