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This paper considers nonlinear dynamics of polarization oscillations whensome materials when they are subjected to the action of an electromagnetic wavemodeled by multifrequency forced Duffing equation. Multiresonance and chaoticbehavior are analysed. For analysis of the case of resonance, the method ofmultiple scales is used and it has been found from the equation of theamplitudes for each of the possible resonance system. Possible resonances areinter alia the resonances or sub superharmonic, the primary resonance and otherresonances called secondary. The phenomena of amplitude jump and hysteresis forpolarization were observed and analyzed. Finally, the study of chaotic behaviorfor polarization was made by numerical simulation using the Runge- Kutta fourthorder.

Multiresonance and chaotic behavior analysis for polarization in material modeled by multifrequency excitations duffing oscillator