Abstract
This paper is concerned with the existence of analytic invariant curves for a planar mapping. By constructing a convergent power series solution of an auxiliary equation, analytic solutions of the original equation are obtained. In this paper, we discuss not only the general case, but also the critical cases as well, in particular, the case where β is a unit root is discussed.
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Li, W.R., Liu, H.Z. & Yin, L. Analytic invariant curves for a planar mapping. Acta. Math. Sin.-English Ser. 24, 623–630 (2008). https://doi.org/10.1007/s10114-007-6221-x
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DOI: https://doi.org/10.1007/s10114-007-6221-x