A partial horseshoe structure at an indeterminate point of birational mapping
Shinohara, Tomoko
J. Math. Kyoto Univ., Tome 47 (2007) no. 3, p. 15-33 / Harvested from Project Euclid
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In this paper, we show that, for some birational mapping $F$ of $\mathbb{P} ^{2}$ with an indeterminate point $I_{1}$, there exists a partial horseshoe structure at $I_{1}$ and periodic points of $F$ accumulate at $I_{1}$. This is a new dynamical model that gives a chaotic phenomenon in a neighbourhood of the indeterminate point $I_{1}$ at which $F$ is not continuous.
Publié le : 2007-05-15
Classification:  32H50,  37F10 
@article{1250281066,
     author = {Shinohara, Tomoko},
     title = {A partial horseshoe structure at an indeterminate point of birational mapping},
     journal = {J. Math. Kyoto Univ.},
     volume = {47},
     number = {3},
     year = {2007},
     pages = { 15-33},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250281066}
}

Shinohara, Tomoko. A partial horseshoe structure at an indeterminate point of birational mapping. J. Math. Kyoto Univ., Tome 47 (2007) no. 3, pp.  15-33. http://gdmltest.u-ga.fr/item/1250281066/