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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/151921
Fern-like structures in the wild set of the standard and semistandard maps in ĉ2
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Abstract
The standard and semistandard maps are considered in C2 and the behaviour of the
iterates on complex invariant manifolds of tbem is srudied. This is an attempt to understand
complicated real dynamics by looking at the enlarged complex dynamics. Expansions of the
,, manif olds are given as well as criteria for escaping points and hyperbolicity. Sorne numerical
explorations suggest the presence of fractal sbllctures of fern type. Several conjectures suggested
by these preliminary explorations are stated.
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Preprint enviat per a la seva publicació en una revista científica.
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GELFREICH, Vasily G., et al. Fern-like structures in the wild set of the standard and semistandard maps in ĉ2. [consulted: 10 of June of 2026]. Available at: https://hdl.handle.net/2445/151921