4-dimensional zero-Hopf bifurcation for polynomial differentials systems with cubic homogeneous nonlinearities via averaging theory (Q2019896)
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scientific article; zbMATH DE number 7336629
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 4-dimensional zero-Hopf bifurcation for polynomial differentials systems with cubic homogeneous nonlinearities via averaging theory |
scientific article; zbMATH DE number 7336629 |
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4-dimensional zero-Hopf bifurcation for polynomial differentials systems with cubic homogeneous nonlinearities via averaging theory (English)
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22 April 2021
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Summary: The averaging theory of second order shows that for polynomial differential systems in \(\mathbb{R} 4\) with cubic homogeneous nonlinearities at least nine limit cycles can be born in a zero-Hopf bifurcation.
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Hopf bifurcation
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averaging theory
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cubic polynomial differential systems
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