We consider the evolution of a compact segment of an analytic curve on the unit tangent bundle of a finite volume hyperbolic n-manifold under the geodesic flow. Suppose that the curve is not contained in a stable leaf of the flow. It is shown that under the geodesic flow, the normalized parameter measure on the curve gets asymptotically equidistributed with respect to the normalized natural Rie...

This paper studies controllability for the class of control systems commonly called (continuous-time) recurrent neural networks. It is shown that, under a generic condition on the input matrix, the system is controllable, for every possible state matrix. The result holds when the activation function is the hyperbolic tangent.

The article proposes an approach based on the concept of Artificial Intelligence for categorization urban areas Internet content by corporate customers. applicability different neural apparatus was analyzed as well three-layer Backpropagation Neural Networks (BPN) and four-layer Probabilistic (PNN) most suitable purpose study were selected. synthesis BPN architectures traffic identification car...

Laboratory tests for the estimation of compaction parameters, namely maximum dry density (MDD) and optimum moisture content (OMC) are time-consuming costly. Thus, this paper employs artificial neural network technique prediction OMC MDD aggregate base course from relatively easier index properties tests. The grain size distribution, plastic limit, liquid limits used as inputs development ANNs. ...

Chaos in a fractional-order jerk model using hyperbolic tangent nonlinearity is presented. A fractional integrator in the model is approximated by linear transfer function approximation in the frequency domain. Resulting chaotic attractors are demonstrated with the system orders as low as 2.1.

We construct a template with two ribbons that describes the topology of all periodic orbits of the geodesic flow on the unit tangent bundle to any sphere with three cone points with hyperbolic metric. The construction relies on the existence of a particular coding with two letters for the geodesics on these orbifolds.

A linear time dependent singularly perturbed convection-diffusion problem is examined. The convective coefficient contains an interior layer (with a hyperbolic tangent profile), which in turn induces an interior layer in the solution. A numerical method consisting of a monotone finite difference operator and a piecewise-uniform Shishkin mesh is constructed and analysed. Neglecting logarithmic f...

A modified edge detection algorithm has been presented here that uses logarithmic transform and Hyperbolic Tangent (HBT) filter. The proposed algorithm incorporates Logarithmic transform along with Luminance and Contrast-Invariant Edge Similarity Measure algorithm for edge detection. The proposed algorithm gives a good quality edge detection of images with improved SSIM value and almost equal o...

In this paper we give a method for constructing complex valued harmonic morphisms in some pseudo-Riemannian manifolds using a parametrization of isotropic subbundles of the complexified tangent bundle. As a result we construct the first known examples of complex valued harmonic morphisms in real hyperbolic spaces of even dimension not equal to 4 which do not have totally geodesic fibres.

We study topological and ergodic properties of some almost hyperbolic diffeomorphisms on two dimensional manifolds. Under generic conditions, diffeomorphisms obtained from Anosov by an isotopy pushing together the stable and unstable manifolds to be tangent at a fixed point, are conjugate to Anosov. For a finite codimension subset at the boundary of Anosov there exist a SRB measure and an uniqu...