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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 278, Pages 29–33
(Mi tm3420)
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Interaction of the folded Whitney umbrella and swallowtail in slow–fast systems
I. A. Bogaevsky Moscow State University, Moscow, Russia
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.
Received in May 2012
Citation:
I. A. Bogaevsky, “Interaction of the folded Whitney umbrella and swallowtail in slow–fast systems”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 278, MAIK Nauka/Interperiodica, Moscow, 2012, 29–33; Proc. Steklov Inst. Math., 278 (2012), 22–26
Linking options:
https://www.mathnet.ru/eng/tm3420 https://www.mathnet.ru/eng/tm/v278/p29
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Abstract page: | 445 | Full-text PDF : | 87 | References: | 91 |
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