Non-Archimedean Hénon maps, attractors, and horseshoes
نویسندگان
چکیده
منابع مشابه
Three-Dimensional HÉnon-like Maps and Wild Lorenz-like attractors
We discuss a rather new phenomenon in chaotic dynamics connected with the fact that some three-dimensional diffeomorphisms can possess wild Lorenz-type strange attractors. These attractors persist for open domains in the parameter space. In particular, we report on the existence of such domains for a three-dimensional Hénon map (a simple quadratic map with a constant Jacobian which occurs in a ...
متن کاملShift spaces and attractors in noninvertible horseshoes
As is well known, a horseshoe map, i.e. a special injective reimbedding of the unit square I2 in R2 (or more generally, of the cube I in R) as considered first by S. Smale [5], defines a shift dynamics on the maximal invariant subset of I2 (or I). It is shown that this remains true almost surely for noninjective maps provided the contraction rate of the mapping in the stable direction is suffic...
متن کاملSuperstability of $m$-additive maps on complete non--Archimedean spaces
The stability problem of the functional equation was conjectured by Ulam and was solved by Hyers in the case of additive mapping. Baker et al. investigated the superstability of the functional equation from a vector space to real numbers. In this paper, we exhibit the superstability of $m$-additive maps on complete non--Archimedean spaces via a fixed point method raised by Diaz and Margolis.
متن کاملReversible 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.
متن کاملsuperstability of $m$-additive maps on complete non--archimedean spaces
the stability problem of the functional equation was conjectured by ulam and was solved by hyers in the case of additive mapping. baker et al. investigated the superstability of the functional equation from a vector space to real numbers.in this paper, we exhibit the superstability of $m$-additive maps on complete non--archimedean spaces via a fixed point method raised by diaz and margolis.
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ژورنال
عنوان ژورنال: Research in Number Theory
سال: 2018
ISSN: 2522-0160,2363-9555
DOI: 10.1007/s40993-018-0105-2