The Isogeometric Analysis (IA) is utilized for structural topology optimization  considering minimization of weight and local stress constraints. For this purpose, material density of the structure  is  assumed  as  a  continuous  function  throughout  the  design  domain  and approximated using the Non-Uniform Rational B-Spline (NURBS) basis functions. Control points of the density surface are...

We investigated the influence of network topology on light-path blocking probability in wavelength-routed optical networks (WRONs) carrying non-uniform traffic loads. Through extensive simulations of a number of similar networks, it is shown that even small differences in the topology can result in large variations in the blocking probability. The results of the simulations are used to assess t...

This paper introduces a conception that any weighted directed network topology is almost decouplable, which can help to transform the topology into a similar form being composed of uncoupled vertices, and thus reduce the complexity of analysis for networked dynamical systems. As an example of its application, the consensus problem of linear multi-agent systems with time-varying network topologi...

An efficient algorithm for topology construction from a set of line segments is considered in the paper. The algorithm works in two steps: input analyzing, and topology construction. In the first step, inconsistencies in input are solved. The second step consists of two parts: the envelope construction, and determination of neighbouring relations between the obtained neighbouring The time compl...

We prove that in the weak topology of measure preserving transformations , a dense G has purely singular continuous spectrum in the orthocomplement of the constant functions. In the uniform topology, a dense G of aperiodic transformations has singular continuous spectrum. We show that a dense G of shift-invariant measures has purely singular continuous spectrum. These results stay true for Z d ...

It is known that a generalized open Jackson queueing network after appropriate scaling (in both time and space) converges almost surely to a uid network under the uniform topology. Under the same topology, we show that the distance between the scaled queue length process of the queueing network and the uid level process of the corresponding uid network converges to zero in probability at an exp...

In this paper, we obtain a generalization of Grothendieck's theorem for the space continuous mappings Cλ,μ(X,Y) where Y is complete uniform with uniformity μ endowed topology convergence on family λ subsets X. A new topological game defined - Asanov-Velichko game, which makes it possible to single out class spaces Grothendieck type. The developed technique used generalize set-open topology.

Recently, data collection from seabed by means of underwater wireless sensor networks (UWSN) has attracted considerable attention. Autonomous underwater vehicles (AUVs) are increasingly used as UWSNs in underwater missions. Events and environmental parameters in underwater regions have a stochastic nature. The target area must be covered by sensors to observe and report events. A ‘topology cont...

Dirac operators in non-trivial topology backgrounds in a finite box are reviewed. We analyze how the formalism translates to the lattice, with special emphasis on uniform field backgrounds.

The paper presents a topology-based visualization method for time-dependent two-dimensional vector fields. A time interpolation enables the accurate tracking of critical points and closed orbits as well as the detection and identification of structural changes. This completely characterizes the topology of the unsteady flow. Bifurcation theory provides the theoretical framework. The results are...