New results on the study of \(Z_q\)-equivariant planar polynomial vector fields (Q611138)
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scientific article; zbMATH DE number 5826162
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New results on the study of \(Z_q\)-equivariant planar polynomial vector fields |
scientific article; zbMATH DE number 5826162 |
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New results on the study of \(Z_q\)-equivariant planar polynomial vector fields (English)
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14 December 2010
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The authors study \(Z_q\) equivariant vector fields in the plane, focusing on the cases \(q=2\), \(q=5\), and \(q=6\). In each case, problems concerning existence of limit cycles bifurcating from foci are studied and solved by very explicit computations.
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dynamical systems
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bifurcation
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limit cycles
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symmetry
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