No. 109 (00233, 00985) Family name : Konash Given name : Aliaksei Affiliation : Institute of Molecular and Atomic Physics Abbreviation : iMApH & IMC E-mail address : konash@imaph.bas-net.by Title : Numerical experiments with ground on AED-theory. Authors : Konash A*,+, Buka P.**,+ , Bagnich S.*, Kaupuzs++ J., Mahnke R. +++ * Institute of Atomic and Molecular Physics, konash@imaph.bas-net.by ** Belarus State University, Belarus, buka@bsu.by + Institute of Mathematics&Cybernetics, 220064, Mensk/Minsk, Belarus, P.O. Box 48, imc_fin@tut.by ++Institute of Mathematics and Computer Science, Latvia, kaupuzs@latnet.lv +++ Universitaet Rostock, Germany, reinhard.mahnke@physik.uni-rostock.de Abstract : We report about our success in construction of soft methods for numerical experiments with mathematical definition by hierarchical multilevel systems (according AED-theory) and program realization in terms of object-oriented language Delphi. The methods have been applied already for computer research of optical device (bistable Fabri-Perot Interferometer (FPI) with chaotic behavior), process of percolation in heterogeneous systems and for investigation of energy migration in disordered media. The detailed description of AED theory can be found in [1], mathematical definition and reasons for application of the theory was reported for case of FPI in [2], and references [3,4,5] present our recent results in research of percolation phenomena in heterogeneous 2D & 3D systems. Achievements in computerization of energy wandering in disordered 1D and 2D lattices - our new results. We will talk on actuality of the methods for goals of design & probing of new devices by numerical tools, for aims of learning (training) and for fundamental science. 1. S. Novikava, N. Karcanias, S.Gancharova, P. Buka. Mathematics Constructions In Aed Theory, Proceedings of IFAC/IFORS/IMACS Symposium on Large Scale Systems, LSS'98, Patras, Greece, 1998. 2. Pavel Buka, Simulating of Optoelectronic and Nanoelectronic Devices Based on Low-Dimensional Materials with Hierarchical Mathematics. Proceedings of Final conference of EU project Dynamic Control and Management Systems in Manufacturing Processes for the Optimization of Throughput and Energy Usage - DYCOMANS Phase 2 (INCO Copernicus Network of excellence/working group: 977022). Bucharest, Romania. September 25-29, 2001. 3. Bagnich S.A., Konash A.V. The influence of inhomogeneous properties of a system on the percolation process in two-dimensional space.// Phys. Solid State.- 2001. V. 43, N 12. P. 2313-2320. 4. Bagnich S.A., Konash A.V. Computational study of the percolation phenomena in inhomogeneous two- and three-dimensional systems. // J. Phys. A: Math. Gen. 36 N 1 (10 January 2003) 1-13 5. Konash A.V., Bagnich S.A. Computer Investigation of the Percolation Processes in Two- and Three-Dimensional Systems with Heterogeneous Internal Structure//(ACAT'2002 Proceedings) Nuclear Inst. and Methods in Physics Research, A - 2002. v 502/2-3 pp 731 - 732. The work under energy wandering of one of the authors (Konash A.) was awarded with INTAS grant for Young Scientists YSF ¹2002-385