Abstract

The effect of a periodic input current A 1 cos t in the Bonhoeffer-van der Pol oscillator along with a bias A 0 is investigated numerically. As the parameter A 1 is varied in the absence of bias by holding the other parameters at constant values, typical period-doubling bifurcation sequence is found to occur leading to chaotic motion in agreement with the Feigenbaum scenario. When the bias is switched on at the transition to chaos, frequency-locking is observed in the system. The frequency-locked intervals exhibit complete devil's staircase similar to the one observed in Belousov-Zhabotinsky reaction.

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