Bifurcations of completely integrable first-order ordinary differential equations |
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Authors: | Masatomo Takahashi |
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Institution: | (1) Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan |
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Abstract: | We consider an implicit first-order ordinary differential equation with complete integral. In 3], the authors give a generic
classifications of first-order ordinary differential equations with complete integral with respect to the equivalence relation
which is given by the group of point transformations. The classification problem is reduced to the classification of a certain
class of divergent diagrams of mapping germs. In this paper, we give a generic classifications of bifurcations of such differential
equations as an application of the Legendrian singularity theory.
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 33, Suzdal
Conference-2004, Part 1, 2005. |
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Keywords: | |
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