Current Issue : July - September Volume : 2019 Issue Number : 3 Articles : 6 Articles
This paper proposes an associative memory model based on a coupled system\nof Gaussian maps. A one-dimensional Gaussian map describes a discrete-time\ndynamical system, and the coupled system of Gaussian maps can generate various\nphenomena including asymmetric fixed and periodic points. The Gaussian\nassociative memory can effectively recall one of the stored patterns, which were\ntriggered by an input pattern by associating the asymmetric two-periodic\npoints observed in the coupled system with the binary values of output patterns.\nTo investigate the Gaussian associative memory model, we formed its\nreduced model and analyzed the bifurcation structure. Pseudo-patterns were\nobserved for the proposed model along with other conventional associative\nmemory models, and the obtained patterns were related to the high-order or\nquasi-periodic points and the chaotic trajectories. In this paper, the structure\nof the Gaussian associative memory and its reduced models are introduced as\nwell as the results of the bifurcation analysis are presented. Furthermore, the\noutput sequences obtained from simulation of the recalling process are presented.\nWe discuss the mechanism and the characteristics of the Gaussian\nassociative memory based on the results of the analysis and the simulations\nconducted....
The similarity transformation is introduced for studying free boundary value problems for a class of generalized convectiondiffusion\nequation. A class of singular nonlinear boundary value problems are obtained and solved by using Adomian\ndecomposition method (ADM). The approximate solution can be expressed in terms of a rapid convergent power series with\neasily computable terms The efficiency and reliability of the approximate solution are verified by numerical ones. The effects of\nthe variable thermal conduction.......
A normal mode analysis of a vibrating mechanical or electrical system gives rise to an eigenvalue problem. Faber made a fairly\ncomplete study of the existence and asymptotic behavior of eigenvalues and eigenfunctions, Greenâ??s function, and expansion\nproperties.We will investigate a new characterization of some class nonlinear eigenvalue problem....
In this paper, we develop some quantum estimates of Hermite-Hadamard type\ninequalities for quasi-convex functions. In some special cases, these quantum estimates reduce\nto the known results....
We study a dynamic three-dimensional (3D) field localized states in a medium with percolation disorder, where the percolation\ncluster is filled by the active nanoemitters. In such a system, the incipient percolating cluster generates a fractal radiating structure\nin which the field is radiated and scattered by the anisotropic inhomogeneity. Our numerical 3D simulations show that such a\nnonlinear system with noninteger fractal dimension has well-defined localized solutions for fields (3D speckles). The statistics of\nspeckles is studied too....
We investigate some geometrical properties of magnetic curves in S3 under the action of the Killing magnetic.................
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