| 概要 |
In this paper we investigate the continuity property of several invariant sets J, J^+ and J^* of the Hénon map H_<c,a>(x,y)=(x^2+c+ay,ax) as the parameters (c,a)∈C^2 vary. More precisely, we show that..., if a sequence of parameters (c_n,a_n) converges horocyclically to (c_*,a_*) such that H_<c_*,a_*> has a semi-parabolic fixed point and |a_*| is sufficiently small, then the corresponding invariant sets converge to those of H_<c_*,a_*>. This in particular generalizes the previous result of Radu and Tanase (Trans. Amer. Math. Soc. 370(6) (2018), 3949-3996) to the case of horocyclic convergence.続きを見る
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Mendeley出力
