Iterated Function System and Multifractal Analysis of Biological Sequences
نویسندگان
چکیده
منابع مشابه
Iterated Function System and Multifractal Analysis of Biological Sequences∗
The fractal method has been successfully used to study many problems in physics, mathematics, engineering, finance, even in biology till now. In the past decade or so there has been a ground swell of interest in unravelling the mysteries of DNA. How to get more bioinformations from these DNA sequences is a challenging problem. The problem of classification and evolution relationship of organism...
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15 صفحه اولAttractors of Sequences of Iterated Function Systems
If F and G are iterated function systems, then any infinite word W in the symbols F and G induces a limit set. It is natural to ask whether this Cantor set can also be realized as the limit set of a single C iterated function system H. We prove that under certain assumptions on F and G, the answer is no. This problem is motivated by the spectral theory of one-dimensional quasicrystals.
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In this paper, the new concept of non-autonomous iterated function system is introduced and also shown that non-autonomous iterated function system IFS(f_(1,∞)^0,f_(1,∞)^1) is topologically transitive for the metric space of X whenever the system has average shadowing property and its minimal points on X are dense. Moreover, such a system is topologically transitive, whenever, there is a point ...
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We consider a class of iterated function systems (IFSs) of contracting similarities of Rn, introduced by Hutchinson, for which the invariant set possesses a natural Hölder continuous parameterization by the unit interval. When such an invariant set is homeomorphic to an interval, we give necessary conditions in terms of the similarities alone for it to possess a quasisymmetric (and as a corolla...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics B
سال: 2003
ISSN: 0217-9792,1793-6578
DOI: 10.1142/s0217979203022477