\(Z_{2}\)-equivariant cubic system which yields 13 limit cycles (Q477508)
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scientific article; zbMATH DE number 6378547
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(Z_{2}\)-equivariant cubic system which yields 13 limit cycles |
scientific article; zbMATH DE number 6378547 |
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\(Z_{2}\)-equivariant cubic system which yields 13 limit cycles (English)
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9 December 2014
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The authors obtain necessary and sufficient conditions for the existence of a bi-center for a \(Z_2\)-equivariant cubic system and show that under small \(Z_2\)-equivariant cubic perturbations this system has at least 13 limit cycles.
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planar polynomial dynamical system
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limit cycle
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bifurcation
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Lyapunov constant
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