Singular cycles of vector fields on regular parts of the boundary of Morse-Smale systems |
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Authors: | Rodrigo Bamón |
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Institution: | (1) Departamento de Matemática Facultad de Ciencias, Universidad de Chile, Casilla, 653 Santiago, Chile |
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Abstract: | At the boundary of the class of Morse-Smale vector fields there are vector fields whose unique degenerate phenomena is a singular cycle. We first characterize and classify all singular cycles which contains only one degeneracy (thesimple singular cycles: ssc). Each of these cycles defines a condimension one submanifold of vector fields. For some ssc its codimension one submanifold is a regular part of the boundary of the Morse-Smale systems. We characterize those ssc that defines this type of submanifold. Our ambient space isn dimensional,n2.Supported by Fondecyt, Proyecto 1930863. |
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Keywords: | Vector fields Singular cycles Morse-Smale |
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