Dynamical Behavior of a Van der Pol Oscillator Circuit with Internal Delay

Saumen Chakraborty*, Saumendra Sankar De Sarkar **
* Department of Physics, Bidhan Chandra College, Asansol, West Bengal, India.
** Department of Physics, Raniganj Girls' College, Raniganj, West Bengal, India.
Periodicity:July - December'2020
DOI : https://doi.org/10.26634/jcir.8.2.18161

Abstract

The qualitative dynamical behavior of an electronic oscillator based on Van der Pol equation is studied with an inherent delay attributed due to finite propagation time and processing time of signal. The stability governing equations have been obtained analytically. In addition to this, the dynamics of the system has been simulated numerically. Though the inherent delay is generally small, the study has been extended for higher values of delay also. Numerical simulation results are found to be consistent with the analytical predictions. The behavior of the modified system beyond the stable region has also been explored using nonlinear tool like bifurcation diagram and chaotic behavior has been found with proper parameter values.

Keywords

Van Der Pol Oscillator, Delay, Stability, Bifurcation Diagram.

How to Cite this Article?

Chakraborty, S., and Sarkar, S. S. D. (2020). Dynamical Behavior of a Van der Pol Oscillator Circuit with Internal Delay. i-manager's Journal on Circuits and Systems, 8(2), 16-21. https://doi.org/10.26634/jcir.8.2.18161

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