  This paper considers nonlinear dynamics of polarization oscillations when
some materials when they are subjected to the action of an electromagnetic wave
modeled by multifrequency forced Duffing equation. Multiresonance and chaotic
behavior are analysed. For analysis of the case of resonance, the method of
multiple scales is used and it has been found from the equation of the
amplitudes for each of the possible resonance system. Possible resonances are
inter alia the resonances or sub superharmonic, the primary resonance and other
resonances called secondary. The phenomena of amplitude jump and hysteresis for
polarization were observed and analyzed. Finally, the study of chaotic behavior
for polarization was made by numerical simulation using the Runge- Kutta fourth
order.
