Abstract
In this paper based on [1] we go further into the study of chaotic behaviour of the forced oscillator containing a square nonlinear term by the methods of multiple scales and numerical simulation. Relation between the chaotic domain and principal resonance curve is discussed. By analyzing the stability of principal resonance curve we infer that chaotic motion would occur near the frequency at which the principal resonance curve has vertical tangent. Results of numerical simulation confirm this inference. Thus we offer an effective way to seek the chaotic motion of the systems which are hard to be investigated by Melnikov method.
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