Анализ бифуркаций удвоения периода кусочно-нелинейной системы с помощью метода амплитудных поверхностей

Abstract

The response surface is used to analyze the period doubling bifurcations under the condition of the two parameters change. The bifurcation analysis of piecewise-nonlinear system is fulfilled with the help of the response surface under the condition of the frequency and the amplitude of the excitation change. Different codimension two bifurcations were discovered in the piecewise-nonlinear system.