Homogeneous-like generalized cubic systems (Q341212)
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scientific article; zbMATH DE number 6653334
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homogeneous-like generalized cubic systems |
scientific article; zbMATH DE number 6653334 |
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Homogeneous-like generalized cubic systems (English)
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16 November 2016
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In this paper, special planar polynomial dynamical systems are considered. The author restricts his attention to those systems which can be transformed to a trigonometric Abel equation. It is shown that any center condition of a homogeneous system for a given \(n\) can be transformed to a center condition of the corresponding generalized cubic system. As in the case of the homogeneous system, these systems can also be transformed to Abel equations having rational coefficients.
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planar polynomial dynamical system
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homogeneous-like generalized cubic system
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trigonometric Abel equation
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center condition
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