Interaction of the folded Whitney umbrella and swallowtail in slow-fast systems |
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Authors: | I A Bogaevsky |
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Institution: | 1. Moscow State University, Moscow, 119991, Russia
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Abstract: | The graph of a first integral of a smooth slow-fast system with two slow variables is a singular surface in the three-dimensional space; the variation of an external parameter on which the system depends gives rise to perestroikas (=transitions) of this surface. We find a normal form and present figures of the perestroika that describes the interaction between the swallowtail and folded Whitney umbrella on the graph of a first integral of a generic one-parameter family of such systems. |
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