1,076 research outputs found
A Novel Thermal Gradient Design for Small-bodied Ectotherms
For ectothermic organisms, environmental temperatures can influence a variety of life history traits. Experimental thermal gradients created in the laboratory are useful tools to examine the thermoregulatory behaviors of these organisms. Here, we provide details on the construction of a novel, cost-effective thermal gradient to study thermoregulatory behaviors in small-bodied nocturnal ectotherms
Topological properties and fractal analysis of recurrence network constructed from fractional Brownian motions
Many studies have shown that we can gain additional information on time
series by investigating their accompanying complex networks. In this work, we
investigate the fundamental topological and fractal properties of recurrence
networks constructed from fractional Brownian motions (FBMs). First, our
results indicate that the constructed recurrence networks have exponential
degree distributions; the relationship between and of recurrence networks decreases with the Hurst
index of the associated FBMs, and their dependence approximately satisfies
the linear formula . Moreover, our numerical results of
multifractal analysis show that the multifractality exists in these recurrence
networks, and the multifractality of these networks becomes stronger at first
and then weaker when the Hurst index of the associated time series becomes
larger from 0.4 to 0.95. In particular, the recurrence network with the Hurst
index possess the strongest multifractality. In addition, the
dependence relationships of the average information dimension on the Hurst index can also be
fitted well with linear functions. Our results strongly suggest that the
recurrence network inherits the basic characteristic and the fractal nature of
the associated FBM series.Comment: 25 pages, 1 table, 15 figures. accepted by Phys. Rev.
Phenomenology of production and decay of spinning extra-dimensional black holes at hadron colliders
We present results of CHARYBDIS2, a new Monte Carlo simulation of black hole
production and decay at hadron colliders in theories with large extra
dimensions and TeV-scale gravity. The main new feature of CHARYBDIS2 is a full
treatment of the spin-down phase of the decay process using the angular and
energy distributions of the associated Hawking radiation. Also included are
improved modelling of the loss of angular momentum and energy in the production
process as well as a wider range of options for the Planck-scale termination of
the decay. The new features allow us to study the effects of black hole spin
and the feasibility of its observation in such theories
Correlation entropy of synaptic input-output dynamics
The responses of synapses in the neocortex show highly stochastic and
nonlinear behavior. The microscopic dynamics underlying this behavior, and its
computational consequences during natural patterns of synaptic input, are not
explained by conventional macroscopic models of deterministic ensemble mean
dynamics. Here, we introduce the correlation entropy of the synaptic
input-output map as a measure of synaptic reliability which explicitly includes
the microscopic dynamics. Applying this to experimental data, we find that
cortical synapses show a low-dimensional chaos driven by the natural input
pattern.Comment: 7 pages, 6 Figures (7 figure files
Granger Causality and Cross Recurrence Plots in Rheochaos
Our stress relaxation measurements on wormlike micelles using a Rheo-SALS
(rheology + small angle light scattering) apparatus allow simultaneous
measurements of the stress and the scattered depolarised intensity. The latter
is sensitive to orientational ordering of the micelles. To determine the
presence of causal influences between the stress and the depolarised intensity
time series, we have used the technique of linear and nonlinear Granger
causality. We find there exists a feedback mechanism between the two time
series and that the orientational order has a stronger causal effect on the
stress than vice versa. We have also studied the phase space dynamics of the
stress and the depolarised intensity time series using the recently developed
technique of cross recurrence plots (CRPs). The presence of diagonal line
structures in the CRPs unambiguously proves that the two time series share
similar phase space dynamics.Comment: 10 pages, 7 figure
Recurrence Analysis of Converging and Diverging Trajectories in the Mandelbrot Set
Iterated dynamics of the Mandelbrot set (M-set) were studied at paired points close to, but on either side of seven specific borders regions. Cross recurrence analysis of the real versus imaginary variables of the converging and diverging trajectories were found to be similar until the final divergence was manifested after hundreds of iterations. This study show that recurrence strategies can be used to study the sensitive dependence of M-set dynamics on initial conditions of the Mandelbrot chaotic attractor
Recurrence Quantification Analysis of Human Gate Intervals
Human gate intervals of old and young subjects were studied using recurrence quantification analysis. Linear mean gate intervals were not significantly different between old and young subjects. However, nonlinear recurrence variables of Laminarity, Vmax and Traptime could distinguish between younger versus older subjects. Our findings support the conclusion that gate intervals in the younger people were more chaotic than the older individuals
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