Recent Publications

Department No 22

1.      R. Andrushkiw, V. Gafiychuk, B. Datsko  Interface dynamics for quasi-stationary Stefan problem.  Mathematical and Computer Modelling, 45 (2007) 892–898

2.      B. Datsko, V. Meleshko, I.Mohylyak, Z.Swiatek, L.Litynska, P.Zieba. Interface Dynamics of melt instabilities on semiconductor surface. Solid state phenomena, 129, (2007) 137-143

3.      V.V.Gafiychuk, B.Y.Datsko,   New type of instability in fractional reaction-diusion systems. Math.meth. and phys. fields. V.50, #1, 2007, pp. 1-7

4.      V. V. Gafiychuk, B. Y. Datsko, V. Meleshko.  Nonlinear oscillations and stability domains in fractional reaction-diusion systems. arXiv:nlin.PS/0702013v1 (2007).

5.      V. V. Gafiychuk, B. Y. Datsko, V. Meleshko.  Mathematical modeling of pattern formation in sub- and supper- diffusive reaction-diffuusion systems. nlin.AO/0611005 (2006)

6.      B. Y. Datsko , V.Gafiychuk, I.A.Lubashesky, A.V.Priezzhev  “Self-localization of the necrosis formation in tissue with tumor due to the tissue response to local strong heating “  J. of Medical Engineering & Technology ,  30,  N.6 (2006) 390-396

7.      V. V. Gafiychuk, B. Y. Datsko, “Pattern formation in a fractional reaction-diffusion system” PHYSICA A,  365 (2006) 300-306

8.      R. Andrushkiw, V. Gafiychuk, B. Datsko  Interface dynamics for quasi-stationary Stefan problem. Mathematical and Computer Modelling, CASM Report 0607-13, Center for applied Math. And Statistics (2006)

9.      V.Gafiychuk, I.A.Lubashesky, B. Y. Datsko “ Fast heat propagation in living tissue caused by branching artery network “  Phys. Rev. E,  72,  051920 (2005)

10.  V.Gafiychuk, B.Datsko, J.Izmajlova  “ Analysys of data clusters obtained by selforganizing methods“  PHYSICA A, 341 (2004), p.547-555

11.  A. Prykarpatsky, V.Gafiychuk and M. Pytel-Kudela  Projected dynamical systems  related with analytical constraints in Hilbert spaces. Far East Journal of Dynamical Systems, 2006

12.  V. Gafiychuk, A. Prykarpatsky. Replicator - mutator evolutionary dynamics, J.of Nonlin. Math. Phys., (2004) 11, 350-360.

13.  V. Gafiychuk, A. Prykarpatsky. Replicator dynamics and mathematicaldescription of multi-agent interaction in complex systems, J. of Nonlin. Math. Phys., (2004) 11, 113-122.

14.  Mykytyuk I.V. Invariant hyperkahler structures on the cotangentbundles of Hermitian symmetric spaces. Sbornik: Mathematics, 2003, Vol.194, No.8, pp.~1225--1250.

15.  B.J.Datsko, S.G.Kyjak, I.P.Palywoda    Melt instabilities on semiconductor surfaces induced by laser radiation. Semiconductor physics quantum electronics and optoelectronics, V. 3, # 3, 2002, pp. 311- 315.

16.  Mykytyuk I.V., The Lie triple system of the symmetric space F_4/Spin(9). Asian Journal of Math., 2002, Vol.6, No.4, pp.~713--718.

17.  Mykytyuk I.V. Invariant Kahler structures on the cotangent bundle of compact symmetric spaces. Nagoya Math. Journal, 2003, Vol.169, pp.~191--217.

18.  Mykytyuk I.V., Panasyuk A. Bi-Poisson structures and integrability of geodesic flow on homogeneous spaces. Transformation Groups, 2004, Vol.9, No.3, pp.~289--308.

19.  Mykytyuk I.V. Invariant Kahler Structures on the Cotangent Bundle of Symmetric Spaces and Reduction. Reviews in Mathematics and Mathematical Physics, Cambridge Scientific Publishers, 2005, Vol.12, pp.~1--96.

20.  Mikityuk I.V. Hypercomplex and hyper-Kahlerian structures on tangent bundles of Hermitian symmetric spaces of rank-one. Russian Math. Surveys, 2003, Vol.58, No.1,pp.~185--186.

21.  B. Kotlyarchuk, V.Savchuk, D. Popovich, A. Serednytski Pulsed Laser Deposition of ZrO2 Thin Films for Application in Microelectronic Devices // Journal Physics and Chemistry of Solid State, V.4, N3, (2003), P.434-439.

22.  B. Kotlyarchuk, V.Savchuk Application of laser beam technology for deposition of oxide thin films // Proc. IEEE Conf. On Adv.Optoelec.&Laser (CAOL’2003), v.1, P.149-151.

23.  B. Kotlyarchuk, V.Savchuk, M.Oszwaldowski Production of Indium Doped Zinc Oxide Thin Films by Pulsed Laser Ablation // http://arxiv.org/abs/cond-mat/0504200

24.  B.Kotlyarchuk, A.Zaginey, V.Savchuk, B.Datsko, V.Zhyrovetski, M.Horak  Laser treatment of the AIIBVI Solid Solutions: Computer Simulation and Experimental Investigation // Proceeding of the VIII^th International Conference CADSM 2005, P.73-75.

25.  B. Kotlyarchuk, V.Savchuk, A.Zaginey, M.Oszwaldowski, J.Rzeszutek Investigation of Ablation Species Generated by High Power Laser Pulses // Proceeding CAOL-2005, P.138-141;(II^nd Inter. Conf. on Advanced Optoelectro-nics and Laser), Eds. Shukhoivanov I.A.

26.  B. Kotlyarchuk, V.Savchuk, M.Oszwaldowski  Preparetion of Undoped and Indium Doped  ZnO Thin Films by Pusled Laser Deposition Method // Crystal Research&Technology, vol.40, N12, P.1118-1123 (2005).

27.  B. Kotlyarchuk, V.Savchuk, R.Lesyuk  Crystalline structure of ZnTe films prepared by Pulsed Laser Deposition // Proceeding RNAOPM’2006 (IIIrd  Intern. Workshop “Relaxed, nonlinear and acoustic optical processes and materials”), P.21-24.

28.  B.K.Kotlyarchuk, D.I.Popovych, A.S.Serednytski. Fabrication of nitride thin films from laser plasma. Proceedings SPIE, V.5116, pp.829-835, 2003.

29.   B.K.Kotlyarchuk, D.I.Popovich, V.K.Savchuk, A.S.Serednytski. Study of formation processes of thin nitride materials layers from laser plasma, Functional materials, V.10, №2, pp 339-344, 2003.

30.  N.T.Pokladok, I.I.Grygorchak, B.A.Lukiyanets, D.I.Popovych, Structure and physical properties of gallium selenide of laser intercalation by nickеl. Physics of the Solid State, V49, N4, 681-684 pp., 2007.