Bifurcations of cycles in systems of differential equations with a finite symmetry group. I. II (Q1972779)
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scientific article; zbMATH DE number 1431867
| Language | Label | Description | Also known as |
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| English | Bifurcations of cycles in systems of differential equations with a finite symmetry group. I. II |
scientific article; zbMATH DE number 1431867 |
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Bifurcations of cycles in systems of differential equations with a finite symmetry group. I. II (English)
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13 April 2000
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One-parameter bifurcations of periodic solutions to differential equations with a finite symmetry group are studied. Three types of periodic solutions (F-cycles, S-cycles and FS-cycles) are considered separately. In paper I, bifurcations of F-cycles at double real multipliers and all codimension one bifurcations of S-cycles are studied. In paper II, a more complicated case of a double part of complex multipliers for F-cycles is considered and bifurcations of FS-cycles are shortly discussed.
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bifurcations
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finite symmetry group
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periodic solutions
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