In this paper, we consider a lattice of the coupled logistic map with periodic boundary conditions. We prove that synchronization occurs in the one-dimensional lattice with lattice size n = 4 for any γ in the chaotic regime [γ∞ ≈ 3.57, 4]. It is worthwhile to emphasize that, despite of the fact that there is a rigorous proof for synchronization in many systems with continuous time, almost nothi...

In this paper, we study the Gauss map of a free boundary minimal surface. The main theorem asserts that if components are eigenfunctions Jacobi-Steklov operator, then surface must be rotationally symmetric.

Given a number L ≥ 1, a weakly L-quasiregular map on a domainΩ in spaceRn is amapu in a Sobolev spaceW 1,p loc (Ω;R n) that satisfies |Du(x)|n ≤ LdetDu(x) almost everywhere in Ω. In this paper, we study the problem concerning linear boundary values of weakly L-quasiregular mappings in spaceRn with dimension n ≥ 3. It turns out this problem depends on the power p of the underlyingSobolev space. ...

The Gauss map of a smooth doubly{curved surface characterizes the range of variation of the surface normal as an area on the unit sphere. An algorithm to approximate the Gauss map boundary to any desired accuracy is presented, in the context of a tensor{product polynomial surface patch, r(u;v) for (u; v) 2 0; 1 ] 0; 1 ]. Boundary segments of the Gauss map correspond to variations of the normal ...

Earth dams have been used widely recently in flood and sedimentation control projects and feeding ground waters in country's watersheds and correct locating for such structures is necessary for increasing their efficiency. In this work, it is attempted to determine the correct locations for constricting earth dams in Yoosef-abad watershed in Tabas using v and incorporating information layers. T...

forest classification on the basis of satellite images is a promising technique both for primary map production and for map updating and forest monitoring. for accurate for-est classification into three classes, using mapping by canopy cover density “high spatial resolution satellite images have to be used in order to obtain the required spatial detail” [schneider, 1999]. at the same time, the ...

In free-boundary problems, the accuracy of a goal quantity of interest depends on both the accuracy of the approximate solution and the accuracy of the domain approximation. We develop duality-based a posteriori error estimates for functional outputs of solutions of free-boundary problems that include both sources of error. The derivation of an appropriate dual problem (linearized adjoint) is, ...

Siegel disks are domains around fixed points of holomorphic maps in which the maps are locally linearizable (i.e., become a rotation under an appropriate change of coordinates which is analytic in a neighborhood of the origin). The dynamical behavior of the iterates of the map on the boundary of the Siegel disk exhibits strong scaling properties which have been intensively studied in the physic...

This work considers properties of the Neumann-to-Dirichlet map for the conductivity equation under the assumption that the conductivity is identically one close to the boundary of the examined smooth, bounded, and simply connected domain. It is demonstrated that the socalled bisweep data, i.e., the (relative) potential differences between two boundary points when delta currents of opposite sign...