Abstract
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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Contributed by Cuphen Yu-shu
Foundation items: the National Natural Science Foundation of China (19990510) and by the National Key Basic Special Fund (G199802316) and by Doctoral Point Fund (D09901)
Biography: Wupu Zhi-qiang (1968-), Associate Professor, Doctor
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Zhi-qiang, W., Yu-shu, C. Classification of bifurcations for nonlinear dynamical problems with constraints. Appl Math Mech 23, 535–541 (2002). https://doi.org/10.1007/BF02437771
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DOI: https://doi.org/10.1007/BF02437771