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Abstract In this paper, we study complex isochronous center problem for cubic complex planar vector fields, which are assumed to be Z 2 -equivariant with two symmetric centers. Such integrable… Click to show full abstract
Abstract In this paper, we study complex isochronous center problem for cubic complex planar vector fields, which are assumed to be Z 2 -equivariant with two symmetric centers. Such integrable systems can be classified as 11 cases. A complete classification is given on the complex isochronous centers and proven to have a total of 54 cases. All the algebraic conditions for the 54 cases are derived and, moreover, all the corresponding linearization transformations are obtained. This problem for the Z 2 -equivariant with two symmetric centers has been completely solved.
Journal Title: Journal of Differential Equations
Year Published: 2020
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