Abstract
In this paper, we consider the existence of analytic invariant curves of an iterative equation
which arises from Ricker-type second-order equation. By reducing the equation with the Schröder transformation to an auxiliary equation, the author discusses not only that the parameter at resonance, i.e., at a root of the unity, but also the parameter near resonance under the Brjuno condition.
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Partially supported by the National Natural Science Foundation of China (Grant Nos. 11671061, 11971081), the Natural Science Foundation of Chongqing (Grant No. cstc2020jcyj-msxmX0857), Science and Technology Research Program of Chongqing Municipal Education Commission (Grant No. KJQN201800502, KJQN201900525), Foundation of youth talent of Chongqing Normal University (02030307-00039), the (Grant Nos. VEGA-MS 1/0358/20, VEGA-SAV 2/0127/20) and by the Slovak Research and Development Agency under the contract (Grant No. APVV-18-0308)
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Zhao, H.Y., Fečkan, M. Analytic Invariant Curves for an Iterative Equation Related to Ricker-type Second-order Equation. Acta. Math. Sin.-English Ser. 37, 1041–1052 (2021). https://doi.org/10.1007/s10114-021-8530-x
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DOI: https://doi.org/10.1007/s10114-021-8530-x