In a previous paper [12], we have shown that locally, in the vicinity of hyperbolic equilibria of autonomous ordinary differential equations, the time-h-map of the induced dynamical system is conjugate to the h-discretized system i.e. to the discrete dynamical system obtained via one-step discretization with stepsize h. The present paper is devoted to Morse-Smale dynamical systems defined on pl...

‎In the following text for arbitrary $X$ with at least two elements‎, ‎nonempty countable set $Gamma$‎ ‎we make a comparative study on the collection of generalized shift dynamical systems like $(X^Gamma,sigma_varphi)$ where $varphi:GammatoGamma$ is an arbitrary self-map‎. ‎We pay attention to sub-systems and combinations of generalized shifts with counterexamples regarding Devaney‎, ‎exact Dev...

The domain theoretic notion of lifting allows one to extend a partial order in a trivial way by a minimum. In the context of Quantitative Domain Theory (e.g. [BvBR98] and [FK93]) partial orders are represented as quasi-metric spaces. For such spaces, the notion of the extension by an extremal element turns out to be non trivial. To some extent motivated by these considerations, we characterize ...

The block preconditioned conjugate gradient (BPCG) methods, even if very effective for solving the linear systems deriving from the discretization of partial differential equations, are not efficient for parallel computers. The bottleneck for their parallel implementation is represented by the solution of the linear system to obtain the preconditioned residual. Here, we present a parallel versi...

We consider continuous SL(2,R)-cocycles over a strictly ergodic homeomorphism which fibers over an almost periodic dynamical system (generalized skew-shifts). We prove that any cocycle which is not uniformly hyperbolic can be approximated by one which is conjugate to an SO(2,R)-cocycle. Using this, we show that if a cocycle’s homotopy class does not display a certain obstruction to uniform hype...

We show that there exist a complex projective K3 surface X and an automorphism σ ∈ Aut(C) such that the conjugate K3 surface X is a non-isomorphic Fourier Mukai partner of X.