A mathematical model describing the dynamics  of a  delayed  stage structure prey - predator  system  with  prey  refuge  is  considered.  The  existence,  uniqueness  and bounded- ness  of  the  solution  are  discussed.    All  the  feasibl e  equilibrium  points  are determined.  The   stability  analysis  of  them  are  investigated.  By  employ ing  the time delay as the bifurcation parame...

Mathematical modelling in applied analysis refers to exploiting mathematical knowledge about (classes of basic) equations with the aim to describe and analyse phenomena that appear in the natural and technical sciences. As an example we will show that low dimensional models can be derived for phenomena that appear in (perturbations of) dynamical Poisson systems with symmetries. We show that the...

Management of the communications among a set of concurrent processes arises in many applications and is a central concern in parallel and distributed computing. In this report, we introduce MANIFOLD: a coordination language for managing complex interconnections among sets of independent, concurrent, cooperating processes. The MANIFOLD system is suitable for massively parallel environments. Both...

The Lorenz manifold is an intriguing two-dimensional surface that illustrates chaotic dynamics in the well-known Lorenz system. While it is not possible to find the Lorenz manifold as an explicit analytic solution, we have developed a method for calculating a numerical approximation that builds the surface up as successive geodesic level sets. The resulting mesh approximation can be read as cro...

We model an elastic beam subject to a contact load which displaces under a chaotic external forcing, motivated by application of a ship carrying either a crane, or fluids in internal tanks. This model not only has rich dynamics and relevance in its own right, it gives rise to a Partial Differential Equation (PDE) whose solutions are chaotic, with an attractor whose points lie “near” a low-dimen...

The task of improving the economic and ecological parameters of the internal combustion engines remains topical within the frameworks of the modern engine-building technology. Since a combustion engine is a complex system combining such units as an intake manifold, combustion chamber, exhaust manifold, one of directions of the engine development is adjustment of the joint operation of its units...

UTEP has developed a dedicated E85 vehicle with superior emissions and cold starting characteristics when compared to the original gasoline vehicle, and with no apparent differences in performance and driveability. All fuel system components that were not E85 compatible have been replaced or modified. Cold start characteristics are improved by incorporating a high frequency multiple spark ignit...

In many applications, the real high-dimensional data occupy only a very small part in the high dimensional ‘observation space’ whose intrinsic dimension is small. The most popular model of such data is Manifold model which assumes that the data lie on or near an unknown manifold (Data Manifold, DM) of lower dimensionality embedded in an ambient high-dimensional input space (Manifold Assumption ...