Cantor bouquet of holomorphic stable manifolds for a periodic indeterminate point (Q2707006)
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scientific article
| Language | Label | Description | Also known as |
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| English | Cantor bouquet of holomorphic stable manifolds for a periodic indeterminate point |
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Cantor bouquet of holomorphic stable manifolds for a periodic indeterminate point (English)
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28 March 2001
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local dynamics
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rational mapping
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periodic orbits
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This paper investigates the geometry of the local dynamics of a rational mapping \(\psi:\mathbb{C} P^2\to\mathbb{C} P^2\) with a periodic indeterminate point. A periodic indeterminate point arises naturally in the dynamics of Newton's method as a multiple root of a system of equations. The author constructs a full 2-shift family of holomorphic stable manifolds of a periodic indeterminate point with two periodic orbits.
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