A general class of centers for the Poincaré problem |
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| Authors: | G.R. Nicklason |
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| Affiliation: | Mathematics, Physics and Geology, Cape Breton University, Sydney, Nova Scotia, Canada B1P 6L2 |
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| Abstract: | We consider the classical Poincaré problem of a linear center perturbed by homogeneous polynomials of degree n?2. Using certain parity properties of a related differential equation, we develop a technique for obtaining center conditions for an arbitrary value of n and use it to exhibit explicitly new center conditions for n=4,…,8. |
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| Keywords: | Center-focus problem Abel differential equation Symmetric centers |
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