Nonlinear oscillations of a carbon nanotube resonator

Nonlinear oscillations of a single-walled carbon nanotube excited harmonically near its primary resonance is considered. The carbon nanotube resonator is considered to be doubly-clamped at a source and a drain. The dynamic problem is modeled in the context of nonlinear vibration of an elastic beam theory, with mid-plane stretching. The response of the nanotube illustrates a sequence of period-doubling bifurcations leading to chaos.