Abstract
Bifurcations with constraints are open problems appeared in research on periodic bifurcations of nonlinear dynamical systems, but the present singularity theory doesn’t contain any analytical methods and results about it. As the complement to singularity theory and the first step to study on constrained bifurcations, here are given the transition sets and persistent perturbed bifurcation diagrams of 10 elementary bifurcation of codimension no more than three.
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Paper from CHEN Yu-shu, Member of Editorial Committee, AMM
Foundation item: the National Natural Science Foundation of China (19990510); the National Key Basic Special Fund(G199802316); Doctoral Point Fund(D09901)
Biography: WU Zhi-qiang (1968-), Associate Professor, Doctor
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Zhi-qiang, W., Yu-shu, C. New bifurcation patterns in elementary bifurcation problems with single-side constraint. Appl Math Mech 22, 1260–1267 (2001). https://doi.org/10.1007/BF02437849
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DOI: https://doi.org/10.1007/BF02437849