Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (5): 535-541.
吴志强, 陈予恕
WU Zhi-qiang, CHEN Yu-shu
摘要: Bifurcation of periodic solutions widely existed in nonlinear dynamical systems is a kind of constrained one in intrinsic quality because its amplitude is always non-negative. Classification of the bifurcations with the type of constraint was discussed. All its six types of transition sets are derived, in which three types are newly found and a method is proposed for analyzing the constrained bifurcation.
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