Abstract
The onset of homoclinic chaos in a damped driven pendulum by hump-doubling of an ac force which is initially formed by a periodic string of single-humped symmetric pulses is theoretically demonstrated by means of Melnikov's method. The analysis reveals that the chaotic threshold amplitude when altering solely the pulse shape presents a minimum as a single-humped pulse transforms into a double-humped pulse, the remaining parameters being held constant. Computer simulations show that the corresponding order-chaos route appears to be especially rich, including different types of crises.
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