157 research outputs found
Réfutation de l’hypothèse sismo-acoustique invoquée pour le double bang de la catastrophe de Toulouse (France) du 21 septembre 2001
International audienc
Rational dilation problems associated with constrained algebras
It is shown that rational dilation fails on broad collection of distinguished
varieties associated to constrained subalgebras of the disk algebra of the form
C + B A(D), where B is a finite Blaschke product with two or more zeros. This
is accomplished in part by finding a minimal set of test functions. In
addition, an Agler-Pick interpolation theorem is given and it is proved that
there exist Kaijser-Varopoulos style examples of non-contractive unital
representations where the generators are contractions.Comment: Page proof corrections included in this version
Subcritical instabilities in a convective fluid layer under a quasi-1D heating
The study and characterization of the diversity of spatiotemporal patterns
generated when a rectangular layer of fluid is locally heated beneath its free
surface is presented. We focus on the instability of a stationary cellular
pattern of wave number which undergoes a globally subcritical transition
to traveling waves by parity-breaking symmetry. The experimental results show
how the emerging traveling mode () switches on a resonant triad
(, , ) within the cellular pattern yielding a ``mixed''
pattern. The nature of this transition is described quantitatively in terms of
the evolution of the fundamental modes by complex demodulation techniques. The
B\' enard-Marangoni convection accounts for the different dynamics depending on
the depth of the fluid layer and on the vertical temperature difference. The
existence of a hysteresis cycle has been evaluated quantitatively. When the
bifurcation to traveling waves is measured in the vicinity of the codimension-2
bifurcation point, we measure a decrease of the subcritical interval in which
the traveling mode becomes unstable. From the traveling wave state the system
under goes a {\it new} global secondary bifurcation to an alternating pattern
which doubles the wavelength () of the primary cellular pattern, this
result compares well with theoretical predictions [P. Coullet and G. Ioss, {\em
Phys. Rev. Lett.} {\bf 64}, 8 66 (1990)]. In this cascade of bifurcations
towards a defect dynamics, bistability due to the subcritical behavior of our
system is the reason for the coexistence of two different modulated patterns
connected by a front. These fronts are stationary for a finite interval of the
control parameters.Comment: 13 pages, 12 figure
EuGène-maize: a web site for maize gene prediction
Motivation:A large part of the maize B73 genome sequence is now available and emerging sequencing technologies will offer cheap and easy ways to sequence areas of interest from many other maize genotypes. One of the steps required to turn these sequences into valuable information is gene content prediction. To date, there is no publicly available gene predictor specifically trained for maize sequences. To this end, we have chosen to train the EuGène software that can combine several sources of evidence into a consolidated gene model prediction
On the deflection of light by topological defects in nematic liquid crystals
The influence of controlable parameters like temperature and wavelength on
the trajectories of light in a nematic liquid crystal with topological defects
is studied through a geometric model. The model incorporates phenomenological
details as how the refractive indices depend on such parameters. The deflection
of light by the topological defect is then shown to be greater at lower
temperatures and shorter wavelengths.Comment: To appear in Eur. Phys. J.
Fluctuation and Dissipation in Liquid Crystal Electroconvection
In this experiment a steady state current is maintained through a liquid
crystal thin film. When the applied voltage is increased through a threshold, a
phase transition is observed into a convective state characterized by the
chaotic motion of rolls. Above the threshold, an increase in power consumption
is observed that is manifested by an increase in the mean conductivity. A sharp
increase in the ratio of the power fluctuations to the mean power dissipated is
observed above the transition. This ratio is compared to the predictions of the
fluctuation theorem of Gallavotti and Cohen using an effective temperature
associated with the rolls' chaotic motion.Comment: 4 pages, 3 figures, revtex forma
Translational recoding as a feedback controller : systems approaches reveal polyamine-specific effects on the antizyme ribosomal frameshift
Peer reviewedPublisher PD
Fundamental scaling laws of on-off intermittency in a stochastically driven dissipative pattern forming system
Noise driven electroconvection in sandwich cells of nematic liquid crystals
exhibits on-off intermittent behaviour at the onset of the instability. We
study laser scattering of convection rolls to characterize the wavelengths and
the trajectories of the stochastic amplitudes of the intermittent structures.
The pattern wavelengths and the statistics of these trajectories are in
quantitative agreement with simulations of the linearized electrohydrodynamic
equations. The fundamental distribution law for the durations
of laminar phases as well as the power law of the amplitude distribution
of intermittent bursts are confirmed in the experiments. Power spectral
densities of the experimental and numerically simulated trajectories are
discussed.Comment: 20 pages and 17 figure
Modulation of Localized States in Electroconvection
We report on the effects of temporal modulation of the driving force on a
particular class of localized states, known as worms, that have been observed
in electroconvection in nematic liquid crystals. The worms consist of the
superposition of traveling waves and have been observed to have unique, small
widths, but to vary in length. The transition from the pure conduction state to
worms occurs via a backward bifurcation. A possible explanation of the
formation of the worms has been given in terms of coupled amplitude equations.
Because the worms consist of the superposition of traveling waves, temporal
modulation of the control parameter is a useful probe of the dynamics of the
system. We observe that temporal modulation increases the average length of the
worms and stabilizes worms below the transition point in the absence of
modulation.Comment: 4 pages, 4 figure
Global stability properties of a hyperbolic system arising in pattern formation
Global stability properties of a hyperbolic system arising in pattern formatio
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