The three-dimensional center problem for the zero-Hopf singularity (Q887690)
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scientific article; zbMATH DE number 6498601
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The three-dimensional center problem for the zero-Hopf singularity |
scientific article; zbMATH DE number 6498601 |
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The three-dimensional center problem for the zero-Hopf singularity (English)
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27 October 2015
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The authors extend well-known techniques for solving the Poincaré-Lyapunov nondegenerate analytic center problem in the plane to the 3-dimensional center problem at the zero-Hopf singularity. In particular, they propose a method to classify the 3-dimensional centers of some quadratic polynomial differential families possessing a zero-Hopf singularity.
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three-dimensional vector field
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zero-Hopf singularity
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continua of periodic orbits
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Poincaré map
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