The correct determination of deformation capacity of a structural member will become more important in the future since nonlinear design methods will be used more often. This report deals with the examination of deformation capacity of the concrete compression zone. The influence of size and the effect of transversal reinforcement of prisms under eccentric compression on their deformation capac...

We consider a finite difference semi-discrete scheme for the approximation of the boundary controls of a 1-D equation modelling the transversal vibrations of a hinged beam. It is known that, due to the high frequency numerical spurious oscillations, the uniform (with respect to the mesh-size) controllability property of the semi-discrete model fails in the natural setting. Consequently, the con...

We study the limit of the three-dimensional Schrödinger-Poisson system with a singular perturbation, to model a quantum electron gas that is strongly confined near an axis. For well-prepared data, which are polarized on the ground space of the transversal Hamiltonian, the resulting model is the cubic defocusing nonlinear Schrödinger equation. Our main tool is a refined analysis of the Poisson k...

We consider 2D localized rotating patterns which solve a parabolic system of PDEs on the spatial domain R2. Under suitable assumptions, we prove nonlinear stability with asymptotic phase with respect to the norm in the Sobolev space H2. The stability result is obtained by a combination of energy and resolvent estimates, after the dynamics is decomposed into an evolution within a three–dimension...

We introduce a new method to bound attractors of dissipative dynamical systems in phase and parameters spaces. The method is based on the determination of families of transversal surfaces (surfaces crossed by the ow in only one direction). This technique yields very restrictive geometric bounds in phase space for the attractors. It also gives ranges of parameters of the system for which no chao...

Abstract—This work denotes an insight into dynamic synthesis of multibody systems. A set of mechanism parameters design variable are synthetized based on a desired mechanism response, such as, velocity, acceleration and bodies deformations. Moreover, knowing the work space, for a robot, and mechanism response allow defining optimal parameters mechanism handling with the desired target response....

Given a closed hyperbolic 3-manifold M with a quasigeodesic flow we construct a π1-equivariant sphere-filling curve in the boundary of hyperbolic space. Specifically, we show that any complete transversal P to the lifted flow on H3 has a natural compactification as a closed disc that inherits a π1 action. The embedding P →֒ H3 extends continuously to the compactification and the restriction S1 →...

A line ` is a transversal to a family F of convex polytopes in R if it intersects every member of F . If, in addition, ` is an isolated point of the space of line transversals to F , we say that F is a pinning of `. We show that any minimal pinning of a line by polytopes in R such that no face of a polytope is coplanar with the line has size at most eight. If in addition the polytopes are pairw...

and refer to [2] and [3] for more background information. Here, M is the wanted eigenvalue of the invariant mass squared operator, with associated eigenfunction ψ ≡ Ψqq̄. It is the probability amplitude for finding in the qq̄–space a quark with the effective (constituent) mass m1, longitudinal momentum fraction x, transversal momentum ~k⊥ and helicity λ1, and correspondingly for the anti– quark w...

In this paper, we introduce a new type of contrast pattern, the minimal contrast subgraph. It is able to capture structural differences between any two collections of graphs and can be useful in chemical compound comparison and building graph classification models. However, mining minimal contrast subgraphs is a challenging task, due to the exponentially large search space and graph (sub)isomor...