In this paper, authors examine flows with a finite hyperbolic chain-recurrent set without heteroclinic intersections on arbitrary closed n-manifolds. For such flows, the existence of dual attractor and repeller is proved. These points are separated by (n−1)-dimensional sphere, which secant for wandering trajectories in complement to repeller. The study flow dynamics makes it possible obtain top...

The increasing transparency and accountability of all organisations , including public service and government, together with the modern complexity, penetration and importance of ITC (information and communications technology), for even very small organisations nowadays, has tended to heighten demand for process improvement everywhere. This means that Business Process Modelling is arguably more ...

We report experiments on the overall phase diagram of granular flows on an incline with emphasis on high inclination angles where the mean layer velocity approaches the terminal velocity of a single particle free falling in air. The granular flow was characterized by measurements of the surface velocity, the average layer height, and the mean density of the layer as functions of the hopper open...

Several constructions on directed graphs originating in the study of flow equivalence symbolic dynamics (e.g., splittings and delays) are known to preserve Morita class Leavitt path algebras over any coefficient field F. We prove that many these results not only independent F, but largely linear algebra altogether. do this by formulating proving generalisations theorems which category F-vector ...

The generally accepted phase diagrams for the discrete ZZN spin models in two dimensions imply the existence of certain renormalisation group flows, both between conformal field theories and into a massive phase. Integral equations are proposed to describe these flows, and some properties of their solutions are discussed. The infrared behaviour in massless and massive directions is analysed in ...

This paper addresses two shortcomings of the data-driven stochastic fundamental diagram for freeway traffic. The first shortcoming is related to least-squares methods which have been widely used in establishing traffic flow diagrams. We argue that these are not suitable generate percentile-based diagrams, because results generated by represent weighted sample mean, rather than percentile. secon...