In this paper we will show that noise can make a given system whose solutions grow exponentially become a new system whose solutions will grow at most polynomially. On the other hand, we will also show that noise can make a given system whose solutions are bounded become a new system whose solutions will grow exponentially. In other words, we reveal that the noise can suppress or expresses exponential growth
In exponential population growth, variability in the timing of individual division events and enviro...
International audienceAdditive noise has been known for a long time to not change a systems stabilit...
We investigate the existence, uniqueness and exponential stability of non-constant stationary soluti...
In this paper we will show that noise can make a given system whose solutions grow exponentially bec...
Consider a given system under regime switching whose solution grows at most polynomially, and suppos...
AbstractConsider a given system under regime switching whose solution grows exponentially, and suppo...
Consider a given system under regime switching whose solution grows expo- nentially, and suppose tha...
In this paper, we consider the impacts of noise on ordinary differential equations. We first prove t...
Noise and fluctuations are at the seat of all physical phenomena. It is well known that, in linear s...
In this article we study a model from epitaxial thin-film growth. It was originally introduced as a ...
We investigate the effect of perturbing the Chafee-Infante scalar reaction diffusion equation, ut - ...
In this paper we consider a stochastic nonlinear system under regime switching. Given a system ( ) ...
AbstractThis paper examines the asymptotic behaviour of the stochastic extension of a fundamentally ...
Population systems are often subject to environmental noise, and our aim is to show that (surprising...
Some results on stabilization of (deterministic and stochastic) partial differential equations are e...
In exponential population growth, variability in the timing of individual division events and enviro...
International audienceAdditive noise has been known for a long time to not change a systems stabilit...
We investigate the existence, uniqueness and exponential stability of non-constant stationary soluti...
In this paper we will show that noise can make a given system whose solutions grow exponentially bec...
Consider a given system under regime switching whose solution grows at most polynomially, and suppos...
AbstractConsider a given system under regime switching whose solution grows exponentially, and suppo...
Consider a given system under regime switching whose solution grows expo- nentially, and suppose tha...
In this paper, we consider the impacts of noise on ordinary differential equations. We first prove t...
Noise and fluctuations are at the seat of all physical phenomena. It is well known that, in linear s...
In this article we study a model from epitaxial thin-film growth. It was originally introduced as a ...
We investigate the effect of perturbing the Chafee-Infante scalar reaction diffusion equation, ut - ...
In this paper we consider a stochastic nonlinear system under regime switching. Given a system ( ) ...
AbstractThis paper examines the asymptotic behaviour of the stochastic extension of a fundamentally ...
Population systems are often subject to environmental noise, and our aim is to show that (surprising...
Some results on stabilization of (deterministic and stochastic) partial differential equations are e...
In exponential population growth, variability in the timing of individual division events and enviro...
International audienceAdditive noise has been known for a long time to not change a systems stabilit...
We investigate the existence, uniqueness and exponential stability of non-constant stationary soluti...