Bifurcation of isolated closed orbits from degenerated singularity in \(\mathbb{R}^{3}\) (Q379464)
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scientific article; zbMATH DE number 6224492
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bifurcation of isolated closed orbits from degenerated singularity in \(\mathbb{R}^{3}\) |
scientific article; zbMATH DE number 6224492 |
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Bifurcation of isolated closed orbits from degenerated singularity in \(\mathbb{R}^{3}\) (English)
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11 November 2013
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The authors study three-dimensional quasi-homogeneous vector fields having a degenerate singular point at the origin. The main purpose is to estimate the number of isolated periodic trajectories bifurcating from the origin under small analytic one-parameter unfoldings. Lower and upper estimates are provided. Three particular systems are considered as an application.
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three-dimensional system
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degenerate singular point
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unfolding
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bifurcation
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isolated periodic orbits
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