Disappearance of Resonance Tongues
نویسندگان
چکیده
where ai(t) = Pi + εQi cos2t, where Pi,Qi and ε are given constants, and where it is assumed that when ε=0 this system exhibits a pair of linearly independent solutions of period 2π . Since the driver cos2t has period π , we have the ingredients for a 2:1 subharmonic resonance which typically results in a tongue of instability involving unbounded solutions when ε >0. We present conditions on the coefficients Pi,Qi such that the expected instability does not occur, i.e., the tongue of instability has disappeared. ©2015 L&H Scientific Publishing, LLC. All rights reserved.
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