2 citations · 2 across the 3 of their papers we have counts for
6 papers
The perfection of local semi-flows and local random dynamical systems with applications to SDEs
Chengcheng Ling, Michael Scheutzow, Isabell Vorkastner
We provide a rather general perfection result for crude local semi-flows taking values in a Polish space showing that a crude semi-flow has a modification which is a (perfect) loca…
A prey-predator model with three interacting species
Uygun Jamilov, Michael Scheutzow, Isabell Vorkastner
In this paper we consider a class of discrete time prey-predator models with three interacting species defined on the two-dimensional simplex. For some choices of parameters of the…
On the approaching time towards the attractor of differential equations perturbed by small noise
Isabell Vorkastner
We estimate the time a point or set, respectively, requires to approach the attractor of a radially symmetric gradient type stochastic differential equation driven by small noise.…
Connectedness of random set attractors
Michael Scheutzow, Isabell Vorkastner
We examine the question whether random set attractors for continuous-time random dynamical systems on a connected state space are connected. In the deterministic case, these attrac…
Synchronization, Lyapunov exponents and stable manifolds for random dynamical systems
Michael Scheutzow, Isabell Vorkastner
During the past decades, the question of existence and properties of a random attractor of a random dynamical system generated by an S(P)DE has received considerable attention, for…
Noise dependent synchronization of a degenerate SDE
Isabell Vorkastner
We provide an example of an SDE with degenerate additive noise where synchronization depends on the strength of noise and the number of directions in which the noise acts. Here, sy…