Non-autonomous parabolic bifurcation

Non-autonomous parabolic bifurcation
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非自主抛物线分岔

DOI:
10.1090/proc/14921
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发表时间:
2020
影响因子:
1
通讯作者:
Vivas, Liz
Vivas, Liz
中科院分区:
数学3区
文献类型:
--
作者:
Vivas, Liz

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勒当关于单复变抛物分支的一个经典结果是:如果我们得到,其中是的Lavaurs映射。本文研究了一类非自治抛物分支。我们关注的是。给定一个序列,我们表示。我们给出了序列的充要条件,使得(的Lavaurs映射).我们应用所得结果证明了某些映射的二维抛物分支现象。引用
Letand. A classical result in parabolic bifurcation in one complex variable is the following: ifwe obtain, whereis the Lavaurs map of. In this paper we study a non-autonomous parabolic bifurcation. We focus on the case of. Given a sequence, we denote. We give sufficient and necessary conditions on the sequencethat imply that(the Lavaurs map of). We apply our results to prove parabolic bifurcation phenomenon in two dimensions for some class of maps. References
$mathbb C^2$ 自同态的抛物线内爆
DOI: --
发表时间: 2016
期刊: Journal of the European Mathematical Society (Print)
影响因子: --
作者:
Fabrizio Bianchi
通讯作者: Fabrizio Bianchi