<p><b>A</b> Time evolution of the concentration for . Error bars denote the fluctuations size in each state, which is much higher in the ON state. <b>B</b> Fluctuations in the OFF steady state (filled symbols) and in the ON steady state (empty symbols) for the multiplicative noise model (red) and for the additive noise model (black). Fluctuations are measured as the standard deviation from the steady state. For the multiplicative noise model, fluctuations in the ON state are larger than in the OFF state. For the additive noise model, fluctuations in the OFF and ON states are similar. Standard deviations have been computed over samples of sizes ranging from 100 to 1000 repetitions of the corresponding Langevin dynamics at time t = 100. For ...
An effect of multiplicative noise in the time-dependent Ginzburg-Landau model is reported, namely, t...
University of Minnesota Ph.D. dissertation. May 2011. Major: Physics. Advisor: Alex Kamenev. 1 compu...
<div><p>Multistability and scale-invariant fluctuations occur in a wide variety of biological organi...
<p>Switching rates for stochastic transitions from ON to OFF (blue) and viceversa (green) for the ad...
<p>Stochastic potential of the additive noise model (black dashed line, Eq (15)) and of the multipli...
<p>A: Bimodal power PDFs B: Stretched exponential dwell time CDFs for the two modes. C: Time series,...
Relaxational processes in bistable potentials close to marginal conditions are studied under the com...
The phenomenon of anomalous fluctuations associated with the decay of an unstable state is analyzed ...
It is found that the theoretical behaviour of the relaxation time T for the random growing rate mode...
We study two dynamical systems submitted to white and Gaussian random noise acting multiplicatively....
Characterizing population fluctuations and their causes is a major theme in population ecology. The ...
<p>Time evolution of <i>P</i>(<i>C</i><sub><i>l</i></sub>, <i>t</i>) shown at <i>t</i> = 0.001 + 0.4...
Multistability and scale-invariant fluctuations occur in a wide variety of biological organisms from...
International audienceA bifurcating system subject to multiplicative noise can exhibit on-off interm...
The stochastic dynamics of a population growth model with size-dependent carrying capacity is consid...
An effect of multiplicative noise in the time-dependent Ginzburg-Landau model is reported, namely, t...
University of Minnesota Ph.D. dissertation. May 2011. Major: Physics. Advisor: Alex Kamenev. 1 compu...
<div><p>Multistability and scale-invariant fluctuations occur in a wide variety of biological organi...
<p>Switching rates for stochastic transitions from ON to OFF (blue) and viceversa (green) for the ad...
<p>Stochastic potential of the additive noise model (black dashed line, Eq (15)) and of the multipli...
<p>A: Bimodal power PDFs B: Stretched exponential dwell time CDFs for the two modes. C: Time series,...
Relaxational processes in bistable potentials close to marginal conditions are studied under the com...
The phenomenon of anomalous fluctuations associated with the decay of an unstable state is analyzed ...
It is found that the theoretical behaviour of the relaxation time T for the random growing rate mode...
We study two dynamical systems submitted to white and Gaussian random noise acting multiplicatively....
Characterizing population fluctuations and their causes is a major theme in population ecology. The ...
<p>Time evolution of <i>P</i>(<i>C</i><sub><i>l</i></sub>, <i>t</i>) shown at <i>t</i> = 0.001 + 0.4...
Multistability and scale-invariant fluctuations occur in a wide variety of biological organisms from...
International audienceA bifurcating system subject to multiplicative noise can exhibit on-off interm...
The stochastic dynamics of a population growth model with size-dependent carrying capacity is consid...
An effect of multiplicative noise in the time-dependent Ginzburg-Landau model is reported, namely, t...
University of Minnesota Ph.D. dissertation. May 2011. Major: Physics. Advisor: Alex Kamenev. 1 compu...
<div><p>Multistability and scale-invariant fluctuations occur in a wide variety of biological organi...