Bifurcations of ordinary differential equations of Clairaut type |
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Authors: | Masatomo Takahashi |
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Institution: | Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan |
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Abstract: | We classify a one-parameter family of Clairaut-type equations. In order to pursue the classification, we use legendrian singularity theory and the notion of one-parameter complete legendrian unfoldings which induces a special class of divergent diagrams of map germs which are called one-parameter integral diagrams. Our normal forms are represented by one-parameter integral diagrams. |
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