We present a nonlinear dynamical study of a diatomic molecule under the int
eraction of chirped pulses. The step-like dissociation probability with res
pect to the initial vibrational states reflects the cantori barriers during
the excitation process. The correspondence between classical and quantum c
antori barriers is shown through classical phase trajectory and quantum Hus
imi distribution function. According to the results, the quantum suppressio
n of classical dissociation in molecular excitation by chirped pulse disapp
ears at some field parameters.