Boundary crisis is a mechanism for destroying a chaotic attractor when one parameter is varied. In a two-parameter setting the locus of boundary crisis is associated with curves of homoor heteroclinic tangency bifurcations of saddle periodic orbits. It is known that the locus of boundary crisis contains many gaps, corresponding to channels (regions of positive measure) where a non-chaotic attra...

In some of the engineering problems, it is necessary to analyze the three-dimensional temperature profiles. In order to solve a typical problem numerically, the three-dimensional temperature diffusion equation is chosen as the mathematical model. The finite volume formulation is derived using Galerkin approach for the mesh of tetrahedral elements, which facilitates solving temperature problems ...

How to treat well boundary conditions is a difficult issue when formulating and coding a multiphase numerical reservoir simulator. The difficulty arises because the partial differential equations governing multiphase subsurface flow are of a mixed parabolic-hyperbolic type. Maximum changes in primary variables and mass/heat fluxes occur only at boundaries or well nodes. Consequently, these well...

Spot patterns, whereby the activator field becomes spatially localized near certain dynamically-evolving discrete spatial locations in a bounded multi-dimensional domain, is a common occurrence for two-component reaction-diffusion (RD) systems in the singular limit of a large diffusivity ratio. In previous studies of 2-D localized spot patterns for various specific well-known RD systems, the do...

direct regenerations by using mature cotyledonary node as a explants has been shown to be time-saving and convenient strategy for micropropagation of soybean. so we have evaluated regeneration protocol through single shoot using cotyledonary node as a rapid and efficient protocol for two soybean cultivars and one mutant line. cotyledonary nodes explants obtained from 7-days-old in vitro seedlin...

nineteen lymph node biopsies, 3 curetting, 15 blood samples obtained from patients with lymphadenitis and high titers of toxoplasma antibodies, and 27 tonsillar tissues removed from patients because of chronic tonsillitis were inoculated intraperitoneally into mice for isolation of toxoplasma gondii. toxoplasms were isolated from 5 lymph node biopsies, one curettage material, 2 tonsillar tissue...

This paper presents achievable regions in slotted ALOHA throughput both without and with network coding for one-relay twohop wireless networks between two end node groups. In this paper, there are no restrictions on the total traffic and the number of end nodes per group. It follows that the relay node will be generally involved with asymmetric bidirectional traffic. This paper derives closed-f...

Usually the boundary of a community in a network is drawn between nodes and thus crosses its outgoing links. If we construct overlapping communities by applying the link-clustering approach nodes and links interchange their roles. Therefore, boundaries must drawn through the nodes shared by two or more communities. For the purpose of community evaluation we define a conductance of boundary node...

We consider the solutions lying on the global attractor of the two-dimensional Navier–Stokes equations with periodic boundary conditions and analytic forcing. We show that in this case the value of a solution at a finite number of nodes determines elements of the attractor uniquely, proving a conjecture due to Foias and Temam. Our results also hold for the complex Ginzburg–Landau equation, the ...