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Van Der Pol Oscillator Report

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CHAPTER 1 INTRODUCTION HISTORY The Van der Pol oscillator describes physical systems collectively called oscillator hence the name Van der Pol oscillator. It is a second order nonlinear differential equation with nonlinear damping. The Van der Pol oscillator equation was proposed by the Dutch electrical engineer and physicist, Balthazar Van der Pol while he was working at Philips in 1920. He came across the system as he was building electric circuit models of the human heart. Due to the uniqueness of the Van der Pol oscillator, it has become the cornerstone for studying systems with limit cycle oscillations. It has been used to model the potential across the cell membranes of neurons in the gastric mill circuit of lobsters. Fitzhugh and Nagumo used the model to describe spike generation in giant squid axons. It is also used in the Burridge-Knopoff model that characterizes earthquake faults with viscous friction. In Seismology (study of earthquakes), it has been used to model the two plates in a geological fault. In the study of phonation (the process by which the vocal folds produce certain sounds through vibration), it is used to model the right and left vocal fold oscillators. …show more content…

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