Abstract
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.
Citation
Tomoko Shinohara. "A partial horseshoe structure at an indeterminate point of birational mapping." J. Math. Kyoto Univ. 47 (1) 15 - 33, 2007. https://doi.org/10.1215/kjm/1250281066
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