The statistical properties of a one-dimensional reaction-diffusion system undergoing a Hopf bifurcation are studied using the master equation approach. The analysis reveals nontrivial interferences between macroscopic dynamics and mesoscopic local fluctuations that eventually wipe out any trace of homogeneous oscillations, even though the latter are asymptotically stable solutions of the deterministic equations.SCOPUS: ar.jinfo:eu-repo/semantics/publishe
A framework for the analysis of stochastic models of chemical systems for which the deterministic me...
We report on an instability arising in activator-inhibitor reaction-diffusion (RD) systems with a si...
In the article, the traveling wave solutions to a hydrodynamic model for relaxing media ar...
Turing–Hopf instabilities for reaction-diffusion systems provide spatially inhomogeneous time-period...
The statistical properties of non-linear dynamical systems are studied using the master equation app...
Bistability generated via a noise-induced phase transition is reexamined from the view of macroscopi...
Noise is ubiquitous in a system and can induce some spontaneous pattern formations on a spatially ho...
Spatially extended systems are widely encountered in physics, chemistry, and biology for studying ma...
The multivariate master equation for a general reaction-diffusion system is solved perturbatively, i...
International audienceThe spectrum of the generator (Kolmogorov operator) of a diffusion process, re...
Several approaches exist to model the evolution of dynamical systems with large populations. These a...
The reaction diffusion system is one of the important models to describe the objective world. It is ...
We consider a diffusion model with limit cycle reaction functions. In an unbounded domain, diffusion...
The effect of internal noise on the period-2 behavior is investigated in low-dimensional dynamical s...
A new method of asymptotic analysis of the multivariate master equation for nonequilibrium reaction-...
A framework for the analysis of stochastic models of chemical systems for which the deterministic me...
We report on an instability arising in activator-inhibitor reaction-diffusion (RD) systems with a si...
In the article, the traveling wave solutions to a hydrodynamic model for relaxing media ar...
Turing–Hopf instabilities for reaction-diffusion systems provide spatially inhomogeneous time-period...
The statistical properties of non-linear dynamical systems are studied using the master equation app...
Bistability generated via a noise-induced phase transition is reexamined from the view of macroscopi...
Noise is ubiquitous in a system and can induce some spontaneous pattern formations on a spatially ho...
Spatially extended systems are widely encountered in physics, chemistry, and biology for studying ma...
The multivariate master equation for a general reaction-diffusion system is solved perturbatively, i...
International audienceThe spectrum of the generator (Kolmogorov operator) of a diffusion process, re...
Several approaches exist to model the evolution of dynamical systems with large populations. These a...
The reaction diffusion system is one of the important models to describe the objective world. It is ...
We consider a diffusion model with limit cycle reaction functions. In an unbounded domain, diffusion...
The effect of internal noise on the period-2 behavior is investigated in low-dimensional dynamical s...
A new method of asymptotic analysis of the multivariate master equation for nonequilibrium reaction-...
A framework for the analysis of stochastic models of chemical systems for which the deterministic me...
We report on an instability arising in activator-inhibitor reaction-diffusion (RD) systems with a si...
In the article, the traveling wave solutions to a hydrodynamic model for relaxing media ar...
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