In this paper,we consider the existence of analytic invariant curves of an iterative equation f(f(x))=xea-x-f(x)which arises from Ricker-type second-order equation.By reducing the equation with the Schr?der transforma...In this paper,we consider the existence of analytic invariant curves of an iterative equation f(f(x))=xea-x-f(x)which arises from Ricker-type second-order equation.By reducing the equation with the Schr?der 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.展开更多
基金the National Natural Science Foundation of China(Grant Nos.11671061,11971081)the Natural Science Foundation of Chongqing(Grant No.cstc2020jcyj-msxm X0857)+2 种基金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)the Slovak Research and Development Agency under the contract(Grant No.APVV-18-0308)。
文摘In this paper,we consider the existence of analytic invariant curves of an iterative equation f(f(x))=xea-x-f(x)which arises from Ricker-type second-order equation.By reducing the equation with the Schr?der 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.
