منابع مشابه
Reversible Complex Hénon Maps
We identify and investigate a class of complex Hénon maps H : C2 → C2 that are reversible, that is, each H can be factorized as RU where R2 = U2 = IdC2 . Fixed points and periodic points of order two are classified in terms of symmetry, with respect to R or U , and as either elliptic or saddle points. Orbits are investigated using a Java applet which is provided as an electronic appendix.
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This paper concerns the dynamics of non-expansive maps on strictly convex finite dimensional normed spaces. By using results of Edelstein and Lyubich, we show that if X = (R, ‖ · ‖) is strictly convex and X has no 1-complemented Euclidean plane, then every bounded orbit of a non-expansive map f : X → X , converges to a periodic orbit. By putting extra assumptions on the derivatives of the norm,...
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After preparing this note, the paper [IT] was discovered which covers the more general situation of “expansive foliations”, and in codimension one their result includes Theorem1.2. We note that the proof given here is more self–contained and goes into more detail about the construction of the “ping-pong table” in the topological case, which the reader might still find of interest. Ralf Spatzier...
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We show that topologically expansive Lorenz maps can be described up to topological conjugacy by their kneading invariants. We also give a simple condition on pairs of symbol sequences which is satisfied if and only if that pair of sequences is the kneading invariant for some topologically expansive Lorenz map. A simple extension of the theorems to the case of expansive maps of the interval wit...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1988
ISSN: 0001-8708
DOI: 10.1016/0001-8708(88)90062-x