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• W2212605921 abstract "In this talk, we show our current results for dangerous border collision bifurcation characterized by exhibiting a stable fixed point before and after the critical bifurcation point, but the unbounded behavior of orbits at the critical bifurcation point. Dangerous bifurcations reveal a matter of serious concern for practical systems modeled by piecewise smooth maps, because there is no way of giving any signal of the impending collapse or unboundedness. Through the talk, we introduce the mechanism causing the occurrence of such bifurcations. Based on this mechanism, we find the qualitative type of the fixed point at the critical bifurcation value and show nonsmooth invariant manifolds of such fixed point, which can not be seen in linear systems." @default.
• W2212605921 created "2016-06-24" @default.
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• W2212605921 date "2006-05-01" @default.
• W2212605921 modified "2023-09-23" @default.
• W2212605921 title "Dangerous border-collision bifurcations" @default.
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