15,265 research outputs found
Quantumlike Chaos in the Frequency Distributions of the Bases A, C, G, T in Drosophila DNA
Continuous periodogram power spectral analyses of fractal fluctuations of
frequency distributions of bases A, C, G, T in Drosophila DNA show that the
power spectra follow the universal inverse power-law form of the statistical
normal distribution. Inverse power-law form for power spectra of space-time
fluctuations is generic to dynamical systems in nature and is identified as
self-organized criticality. The author has developed a general systems theory,
which provides universal quantification for observed self-organized criticality
in terms of the statistical normal distribution. The long-range correlations
intrinsic to self-organized criticality in macro-scale dynamical systems are a
signature of quantumlike chaos. The fractal fluctuations self-organize to form
an overall logarithmic spiral trajectory with the quasiperiodic Penrose tiling
pattern for the internal structure. Power spectral analysis resolves such a
spiral trajectory as an eddy continuum with embedded dominant wavebands. The
dominant peak periodicities are functions of the golden mean. The observed
fractal frequency distributions of the Drosophila DNA base sequences exhibit
quasicrystalline structure with long-range spatial correlations or
self-organized criticality. Modification of the DNA base sequence structure at
any location may have significant noticeable effects on the function of the DNA
molecule as a whole. The presence of non-coding introns may not be redundant,
but serve to organize the effective functioning of the coding exons in the DNA
molecule as a complete unit.Comment: 46 pages, 9 figure
Specific "scientific" data structures, and their processing
Programming physicists use, as all programmers, arrays, lists, tuples,
records, etc., and this requires some change in their thought patterns while
converting their formulae into some code, since the "data structures" operated
upon, while elaborating some theory and its consequences, are rather: power
series and Pad\'e approximants, differential forms and other instances of
differential algebras, functionals (for the variational calculus), trajectories
(solutions of differential equations), Young diagrams and Feynman graphs, etc.
Such data is often used in a [semi-]numerical setting, not necessarily
"symbolic", appropriate for the computer algebra packages. Modules adapted to
such data may be "just libraries", but often they become specific, embedded
sub-languages, typically mapped into object-oriented frameworks, with
overloaded mathematical operations. Here we present a functional approach to
this philosophy. We show how the usage of Haskell datatypes and - fundamental
for our tutorial - the application of lazy evaluation makes it possible to
operate upon such data (in particular: the "infinite" sequences) in a natural
and comfortable manner.Comment: In Proceedings DSL 2011, arXiv:1109.032
Randomness Quality of CI Chaotic Generators: Applications to Internet Security
Due to the rapid development of the Internet in recent years, the need to
find new tools to reinforce trust and security through the Internet has became
a major concern. The discovery of new pseudo-random number generators with a
strong level of security is thus becoming a hot topic, because numerous
cryptosystems and data hiding schemes are directly dependent on the quality of
these generators. At the conference Internet`09, we have described a generator
based on chaotic iterations, which behaves chaotically as defined by Devaney.
In this paper, the proposal is to improve the speed and the security of this
generator, to make its use more relevant in the Internet security context. To
do so, a comparative study between various generators is carried out and
statistical results are given. Finally, an application in the information
hiding framework is presented, to give an illustrative example of the use of
such a generator in the Internet security field.Comment: 6 pages,6 figures, In INTERNET'2010. The 2nd Int. Conf. on Evolving
Internet, Valencia, Spain, pages 125-130, September 2010. IEEE Computer
Society Press Note: Best Paper awar
Resonance structures in coupled two-component model
We present a numerical study of the process of the kink-antikink collisions
in the coupled one-dimensional two-component model. Our results reveal
two different soliton solutions which represent double kink configuration and
kink-non-topological soliton (lump) bound state. Collision of these solitons
leads to very reach resonance structure which is related to reversible energy
exchange between the kinks, non-topological solitons and the internal
vibrational modes. Various channels of the collisions are discussed, it is
shown there is a new type of self-similar fractal structure which appears in
the collisions of the relativistic kinks, there the width of the resonance
windows increases with the increase of the impact velocity. An analytical
approximation scheme is discussed in the limit of the perturbative coupling
between the sectors. Considering the spectrum of linear fluctuations around the
solitons we found that the double kink configuration is unstable if the
coupling constant between the sectors is negative.Comment: 21 pages, 19 figure
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