Add to ORKGWe consider a 2-dimensional stochastic differential equation in polar coordinates depending on several parameters. We show that if these parameters belong to a specific regime then the deterministic system explodes in finite time, but the random dynamical system corresponding to the stochastic equation is not only strongly complete but even admits a random attractor.Comment: updated version. Small correction
Motivated by the possibility of noise to cure equations of finite-time blowup, recent work arXiv:210...
We consider slowly time-dependent stochastic partial differential equations (SPDEs) driven by space-...
We consider the dynamics of a two-dimensional ordinary differential equation exhibiting a Hopf bifur...
We study the asymptotic behaviour of a reaction-diffusion equation, and prove that the addition of m...
Stochastic differential equations (SDEs) have been subject of extensive research ever since the fou...
We establish criteria on the chemotactic sensitivity $\chi$ for the non-existence of global weak sol...
This paper concerns comparisons between attractors for random dynamical systems and their correspond...
Some results on stabilization of (deterministic and stochastic) partial differential equations are e...
Some results concerning the stability and stabilisation of stochastic linear partial differential eq...
We show that under a certain moderate deviation scaling, the multiplicative-noise stochastic heat eq...
We investigate the effect of perturbing the Chafee-Infante scalar reaction diffusion equation, ut - ...
Properties of the noise-driven escape kinetics are mainly determined by the stochastic component of ...
In this paper, we study an ordinary differential equation with a degenerate global attractor at the ...
We provide a framework for studying the expansion rate of the image of a bounded set under a flow in...
Many real-world systems exhibit noisy evolution; interpreting their finite-time behavior as arising ...
Motivated by the possibility of noise to cure equations of finite-time blowup, recent work arXiv:210...
We consider slowly time-dependent stochastic partial differential equations (SPDEs) driven by space-...
We consider the dynamics of a two-dimensional ordinary differential equation exhibiting a Hopf bifur...
We study the asymptotic behaviour of a reaction-diffusion equation, and prove that the addition of m...
Stochastic differential equations (SDEs) have been subject of extensive research ever since the fou...
We establish criteria on the chemotactic sensitivity $\chi$ for the non-existence of global weak sol...
This paper concerns comparisons between attractors for random dynamical systems and their correspond...
Some results on stabilization of (deterministic and stochastic) partial differential equations are e...
Some results concerning the stability and stabilisation of stochastic linear partial differential eq...
We show that under a certain moderate deviation scaling, the multiplicative-noise stochastic heat eq...
We investigate the effect of perturbing the Chafee-Infante scalar reaction diffusion equation, ut - ...
Properties of the noise-driven escape kinetics are mainly determined by the stochastic component of ...
In this paper, we study an ordinary differential equation with a degenerate global attractor at the ...
We provide a framework for studying the expansion rate of the image of a bounded set under a flow in...
Many real-world systems exhibit noisy evolution; interpreting their finite-time behavior as arising ...
Motivated by the possibility of noise to cure equations of finite-time blowup, recent work arXiv:210...
We consider slowly time-dependent stochastic partial differential equations (SPDEs) driven by space-...
We consider the dynamics of a two-dimensional ordinary differential equation exhibiting a Hopf bifur...