ENES YILMAZ

EDUCATION

Ph.D. in Mathematics
Middle East Technical University
Dissertation: “Neural Networks with Piecewise Constant Argument and Impact Activation”

MSc. in Mathematics
Ege University
Thesis: Minimal Curves and Introduction to Minimal Surfaces

B.Sc. in Mathematics
Ege University

RESEARCH INTERESTS

• Mathematical Neurosciences
• Theory of Discontinuous Dynamical Systems
• Differential Equations with Piecewise Constant Argument of Generalized Type
• Impulsive Differential Equations

PUBLICATIONS

• Hopfield type neural network systems with piecewise constant argument, Inter. Jour.of Qual. Theory of Dif. Eqns. and App. Vol. 3, No. 1-2 (2009) 8-14.(with M. Akhmet)
• Stability in cellular neural networks with piecewise constant argument, J. Comput.Appl. Math., 233 (2010) 2365-2373. (with M. Akhmet and D. Arugaslan)
• Impulsive Hopfield type neural network systems with piecewise constant argument, Nonlinear Anal.: RWA., 11 (2010) 2584-2593. (with M. Akhmet)
• Stability analysis of recurrent neural networks with piecewise constant argument of generalized type, Neural Networks, 23 (2010) 805-811. (with M. Akhmet and D. Arugaslan)
• Global Attractivity in impulsive neural networks with piecewise constant delay, Proceedings of Neural, Parallel, and Scientific Computations, Atlanta, Georgia, Dynamic Publishers, Inc. USA, 2010, 11-18. (with M. Akhmet)
• Method of Lyapunov functions for differential equations with piecewise constant delay, Journal of computational and applied mathematics, 235, 2011, 4554-4560. (with M. Akhmet and D. Arugaslan)
• Global exponential stability of neural networks with nonsmooth and impact activations,(Submitted for publication).
• Global stability in cellular neural networks with variable moments of impulses, (in preparation).
• Almost periodic solutions of impulsive neural networks with variable moments of impulses,(in preparation).
• Cohen-Grossberg neural networks with piecewise constant argument of generalized type, (in preparation).
• Stability of Bidirectioanal Associative Memory neural networks with piecewise constant delay, (in preparation).

CONFERENCES

• Analysis of neural networks with piecewise constant argument of generalized type, International Conference on Applied Mathematics, Modeling and Computational Science (AMMCS), Wilfrid Laurier University, Waterloo, Ontario, Canada, July 25-29, 2011.
• Global Attractivity in impulsive neural networks with piecewise constant delay, Invited speaker of The Fourth International Conference on neural, parallel and scienti c computations,Morehouse College, Atlanta, Georgia, August 11-14, 2010.
• Stability analysis of recurrent neural networks with deviated argument of mixed type, 14th International Congress on Computational and Applied Mathematics(ICCAM2009), Antalya, Turkey, September 28- October 2, 2009.
• Lyapunov functions for di erential equations with piecewise constant delay and its application to Neural networks model, International Workshop on Resonance Oscillations and Stability of Nonsmooth Systems, Imperial College, London, UK, June 16-25, 2009.
• Increasing the Motivation of SMEs for Project Development, Innovative Approaches to University & Small and Medium Enterprises (SMEs) Cooperation, Siauliai, Lithuania, March 19-20, 2009.
• An SME Oriented Course Design for Information System Development, Innovative Approaches to University & Small and Medium Enterprises (SMEs) Cooperation, Siauliai, Lithuania, March 19-20, 2009.
• Impulsive Hopfield type neural networks system with piecewise constant argument, International Conference on Differential and Difference Equations, Veszprem, Hungary, July 14-17, 2008.
• Parçalý Sabit Argümanlý Ýmpalsiv Hopfield Tipi Sinir Ađlarý Sistemi, Ankara Mathematics Days Symposium, Ankara, Turkey May 22-23, 2008.

ADRESS

The Scientific and Technological Research Council of Turkey (TÜBÝTAK), Tunus Caddesi No:80 06100 Kavaklýdere / Ankara, Turkey.
Phone :
E-mail: enesyilmaztr[at]gmail.com