We study global attractors \(\mathcal {A}=\mathcal {A}_f\) of semiflows generated by semilinear partial parabolic differential equations the form \(u_t = u_{xx} + f(x,u,u_x), 0<x<1\), satisfying Neumann boundary conditions. The equilibria \(v\in \mathcal {E}\subset {A}\) semiflow are stationary solutions PDE, hence they corresponding second order ODE value problem. Assuming hyperbolicity all eq...

For every polynomial f of degree n with no double roots, there is an associated family C(f) of harmonic algebraic curves, fibred over the circle, with at most n−1 singular fibres. We study the combinatorial topology of C(f) in the generic case when there are exactly n − 1 singular fibres. In this case, the topology of C(f) is determined by the data of an n-tuple of noncrossing matchings on the ...

the set covering problem (scp) is a well-known combinatorial optimization problem. this paper investigates development of a local branching approach for the scp. this solution strategy is exact in nature, though it is designed to improve the heuristic behavior of the mixed integer programming solver. the algorithm parameters are tuned by design of experiments approach. the proposed method is te...

In today’s fast-paced business environment, having a strong understanding of the competitive landscapeis more important than ever. As old saying goes, “knowledge is power,” and this especiallytrue when it comes to staying ahead competition.Competitive intelligence process gathering, analyzing, disseminating informationabout products, services, strategies company’s competitors in order gain stra...

Porto, the institutional repository of the Politecnico di Torino, is provided by the University Library and the IT-Services. The aim is to enable open access to all the world. Please share with us how this access benefits you. Your story matters. [1] The occurrence of cutoff events, although sporadic, is a key component in the complex dynamics of meandering rivers. In the present work, we show ...

Ocean surface temperatures and wind speeds tend to vary together across ocean basins away from tropical regions. Typically, stronger surface winds are seen over cooler and weaker winds over warmer water, because strong winds cool the ocean surface by evaporation and by stirring up cold subsurface water. But is this always the case? Aside from warm tropical oceans, where moist air ascends high i...

We report on the extended infrared single-photon response of niobium nitride superconducting nanowires deposited by atomic layer deposition. The nanowire detectors are based 4.65 nm thick NbN, patterned into 100 meanders, and characterized at 2.5 K. verify sensitivity from 1310 to 2006 with saturated shorter wavelengths.