5,622 research outputs found
Phase Ordering in Chaotic Map Lattices with Additive Noise
We present some result about phase separation in coupled map lattices with
additive noise. We show that additive noise acts as an ordering agent in this
class of systems. In particular, in the weak coupling region, a suitable
quantity of noise leads to complete ordering. Extrapolating our results at
small coupling, we deduce that this phenomenon could take place also in the
limit of zero coupling.Comment: 8 pages, 7 figure
Dynamical Consequences of Bandpass Feedback Loops in a Bacterial Phosphorelay
Under conditions of nutrient limitation, Bacillus subtilis cells terminally differentiate into a dormant spore state. Progression to sporulation is controlled by a genetic circuit consisting of a phosphorelay embedded in multiple transcriptional feedback loops, which is used to activate the master regulator Spo0A by phosphorylation. These transcriptional regulatory interactions are “bandpass”-like, in the sense that activation occurs within a limited band of Spo0A~P concentrations. Additionally, recent results show that the phosphorelay activation occurs in pulses, in a cell-cycle dependent fashion. However, the impact of these pulsed bandpass interactions on the circuit dynamics preceding sporulation remains unclear. In order to address this question, we measured key features of the bandpass interactions at the single-cell level and analyzed them in the context of a simple mathematical model. The model predicted the emergence of a delayed phase shift between the pulsing activity of the different sporulation genes, as well as the existence of a stable state, with elevated Spo0A activity but no sporulation, embedded within the dynamical structure of the system. To test the model, we used time-lapse fluorescence microscopy to measure dynamics of single cells initiating sporulation. We observed the delayed phase shift emerging during the progression to sporulation, while a re-engineering of the sporulation circuit revealed behavior resembling the predicted additional state. These results show that periodically-driven bandpass feedback loops can give rise to complex dynamics in the progression towards sporulation
Cortical Spike Synchrony as a Measure of Input Familiarity
J.G.O. was supported by the Ministerio de Economia y Competividad and FEDER (Spain, project FIS2015-66503-C3-1-P) and the ICREA Academia programme. E.U. acknowledges support from the Scottish Universities Life Sciences Alliance (SULSA) and HPC-Europa2.Peer reviewedPostprin
Synchronization in semiconductor laser rings
We examine the dynamics of semiconductor lasers coupled in a ring
configuration. The lasers, which have stable output intensity when isolated,
behave chaotically when coupled unidirectionally in a closed chain. In this
way, we show that neither feedback nor bidirectional coupling is necessary to
induce chaotic dynamics at the laser output. We study the synchronization
phenomena arising in this particular coupling architecture, and discuss its
possible application to chaos-based communications. Next, we extend the study
to bidirectional coupling and propose an appropriate technique to optical chaos
encryption/decryption in closed chains of mutually coupled semiconductor
lasers.Comment: 15 pages, 7 figure
Dynamics and Scaling of Noise-Induced Domain Growth
The domain growth processes originating from noise-induced nonequilibrium
phase transitions are analyzed, both for non-conserved and conserved dynamics.
The existence of a dynamical scaling regime is established in the two cases,
and the corresponding growth laws are determined. The resulting universal
dynamical scaling scenarios are those of Allen-Cahn and Lifshitz-Slyozov,
respectively. Additionally, the effect of noise sources on the behaviour of the
pair correlation function at short distances is studied.Comment: 11 pages (including 13 figures) LaTeX file. Accepted in EPJ
Spatial Coherence Resonance near Pattern-Forming Instabilities
The analogue of temporal coherence resonance for spatial degrees of freedom
is reported. Specifically, we show that spatiotemporal noise is able to
optimally extract an intrinsic spatial scale in nonlinear media close to (but
before) a pattern-forming instability. This effect is observed in a model of
pattern-forming chemical reaction and in the Swift-Hohenberg model of fluid
convection. In the latter case, the phenomenon is described analytically via an
approximate approach.Comment: 4 pages, 4 figure
Crowd synchrony and quorum sensing in delay-coupled lasers
Crowd synchrony and quorum sensing arise when a large number of dynamical
elements communicate with each other via a common information pool. Previous
evidence in different fields, including chemistry, biology and civil
engineering, has shown that this type of coupling leads to synchronization,
when coupling is instantaneous and the number of coupled elements is large
enough. Here we consider a situation in which the transmission of information
between the system components and the coupling pool is not instantaneous. To
that end, we model a system of semiconductor lasers optically coupled to a
central laser with a delay. Our results show that, even though the lasers are
non-identical due to their distinct optical frequencies, zero-lag
synchronization arises. By changing a system parameter, we can switch between
two different types of synchronization transition. The dependence of the
transition with respect to the delay-coupling parameters is studied.Comment: 4 pages, 4 figure
- …