Iryna Sushko




e-mail: sushko@imath.kiev.ua


Institute of Mathematics
National Academy of Sciences of Ukraine
3, Tereshchenkivska st. 01601 Kiev-4 UKRAINE
tel: +38 044 234-63-22
Fax: +38 044 235-20-10



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  • Place of birth: Kiev region, Ukraine
  • 1984-1989 Student of Cybernetics Faculty at Kiev State University. Diploma of mathematician (Master.s degree)
  • 1989-1992 Post-graduate student at Institute of Mathematics, National Academy of Sciences of Ukraine
        (under supervision of Prof. A. Sharkovsky and Prof. Yu. Maistrenko)
  • 1993 Academic Degree of Candidate of Sciences in Physics and Mathematics (PhD)
  • 1993-2002 Scientific researcher, Ordinary Differential Equations Dept. at Institute of Mathematics, National Academy of Sciences of Ukraine
  • 2002-present Senior scientific researcher at Dept. of Differential Equations and Oscillation Theory
        Institute of Mathematics, National Academy of Sciences of Ukraine
  • 2004-2005 Scientific researcher, University of Urbino, Italy
        (Marie Curie Fellowship within the 6-th European Community Framework Programme)
  • Nov. 2009-July 2012 Visiting Professor at the Kyiv School of Economics (Economics Education and Research Consortium, Inc)







Scientific Interests

- Nonlinear dynamical systems: regular and chaotic attractors, basins of attraction, bifurcations, routes to chaos;
                    
- Piecewise smooth dynamical systems: border-collision bifurcation, normal forms, degenerate bifurcations;
                     
- Synchronization of periodic, quasiperiodic and chaotic processes;

- Applications in economics, radioengineering, etc.;
                     
- Computer simulation and numerical experiments.



        IRYNA SUSHKO
             website
List of Publications

  • G.-I. Bischi, F. Lamantia and I. Sushko. Border Collision Bifurcations in a simple oligopoly model with production constraints. Int. J. Appl. Math. and Statistics, Vol. 26, No. 2 (2012), 121-135.
  • L. Gardini, I. Sushko, V. Avrutin, M. Schanz. Critical homoclinic orbits lead to snap-back repellers, Chaos, Solitons & Fractals, 44 (2011) 433-449.
  • L. Gardini, F. Tramontana, I. Sushko. Border Collision Bifurcations in one-dimensional linear-hyperbolic maps, Mathematics and Computers in Simulation, Vol. 81, Issue 4 (2010), 899-914.
  • S. Brianzoni, E. Michetti, I. Sushko. Border Collision Bifurcations of Superstable Cycles in a One-Dimensional Piecewise Smooth Map. Mathematics and Computers in Simulation, 81 (2010), 52-61.
  • I. Sushko and L. Gardini. Degenerate Bifurcations and Border Collisions in Piecewise Smooth 1D and 2D Maps. Int. J. Bifurcation and Chaos, Vol 20, No. 7 (2010), 2045-2070.
  • I. Sushko, L. Gardini and T. Puu. Regular and Chaotic Growth in a Hicksian Floor/Ceiling Model. Journal of Economic Behaviour and Organization, 75 (2010), 77-94.
  • L. Gardini and I. Sushko. Center Bifurcation of a point on the Poincaré Equator. Proc. of ECIT 2008, Grazer Math. Ber. No. 354 (2009), 254-279.
  • I. Sushko and L. Gardini. Degenerate bifurcations in one- and two-dimensional piecewise smooth maps. Proc. of NOMA 2009, 1-4.
  • I. Sushko, M. Wegener, F. Westerhoff, and G. Zaklan. Endogenous business cycle dynamics within the inventory model of Metzler: Adding an inventory floor. Nonlinear Dynamics, Psychology and Life Sciences, Vol. 13, No. 2 (2009), 225-235.
  • L. Gardini, I. Sushko and A. Naimzada. Growing Through Chaotic Intervals. Journal of Economic Theory 143 (2008), 541-557.
  • I. Sushko and L. Gardini. Center Bifurcation for Two-Dimensional Border-Collision Normal Form, Int. J. Bifurcation and Chaos, Vol. 18, Issue 4 (2008), 1029-1050.
  • I. Sushko, T. Puu and L. Gardini. Chapter 12. A Goodwin-type Model with Cubic Investment Function. In: Business Cycles Dynamics. Models and Tools (T. Puu and I.Sushko Ed.s), Springer, 2006.
  • L. Gardini, T. Puu and I. Sushko. A Goodwin-type Model with a Piecewise Linear Investment Function. In: Business Cycles Dynamics. Models and Tools (T. Puu and I.Sushko Ed.s), Springer, 2006.
  • L. Gardini, T. Puu and I. Sushko. The Hicksian Model with Investment Floor and Income Ceiling. In: Business Cycles Dynamics. Models and Tools (T. Puu and I.Sushko Ed.s), Springer, 2006.
  • I. Sushko and L. Gardini. Center Bifurcation for a Two-Dimensio- nal Piecewise Linear Map. In: Business Cycles Dynamics. Models and Tools (T. Puu and I.Sushko Ed.s), Springer, 2006.
  • I. Sushko, A. Agliari and L. Gardini. Bifurcation Structure of Parameter Plane for a Family of Unimodal Piecewise Smooth Maps: Border-Collision Bifurcation Curves. In: Dynamic Modelling in Economics and Finance in honour of Professor Carl Chiarella (G.I. Bischi and I. Sushko Ed.s), Chaos, Solitons & Fractals, Vol. 29, Issue 3 (2006), 756-770.
  • T. Puu, L. Gardini and I. Sushko. On the Change of Periodicities in the Hicksian Multiplier-Accelerator Model with a Consumption Floor. In: Dynamic Modelling in Economics and Finance in honour of Professor Carl Chiarella (G.I. Bischi and I. Sushko Ed.s), Chaos, Solitons & Fractals, Vol. 29, Issue 3 (2006), 681-696.
  • G.-I. Bischi and I. Sushko. Foreword "Dynamic Modelling in Economics and Finance" in honour of Professor Carl Chiarella, Chaos, Solitons & Fractals, Vol. 29, Issue 3 (2006), 515-516.
  • I. Sushko, A. Agliari and L. Gardini. Bistability and Border-Collision Bifurcations for a Family of Unimodal Piecewise Smooth Maps. Discrete and Continuous Dynamical Systems, Series B (2005), Vol. 5, N 3, 881-897.
  • T. Puu, L. Gardini and I. Sushko. A Hicksian Multiplier-Accelerator Model with Floor Determined by Capital Stock, Journal of Economic Behaviour and Organization, Vol. 56 (2005), 331-348.
  • G. Kristensen and I. Sushko. Complex Market Dynamics under Box-Cox Monopoly, Chaos, Solitons & Fractals 21 (2004), 591-602.
  • I. Sushko, L. Gardini and T. Puu. Tongues of Periodicity in a Family of Two-dimensional Discontinuous Maps of Real Möbius Type, Chaos, Solitons & Fractals 21 (2004), 403-412.
  • T. Puu, I. Sushko. A Business Cycle Model with Cubic Nonlinearity, Chaos, Solitons & Fractals, Vol. 19, (2004), 597-612.
  • M. Gallegati, L. Gardini, T. Puu and I. Sushko. Hicks' Trade Cycle Revisited: Cycles and Bifurcations, Mathematics and Computers in Simulation, 63 (2003). 505-527.
  • I. Sushko, T. Puu and L. Gardini. The Hicksian Floor-Roof Model for two Regions Linked by Interregional Trade. Chaos, Solitons & Fractals, Vol.18, No.3 (2003), 593-612.
  • G. Kristensen, S. Yanchuk and I. Sushko. Dynamical Approach to Complex Regional Economic Growth based on Keynesian Model for China. Chaos, Solitons & Fractals, Vol.18, No.5 (2003), 937-952.
  • E. Neumann, I. Sushko, Yu. Maistrenko, U. Feudel. Synchronization and desynchronization under the influence of quasiperiodic forcing. Physical Review E 67, 026202, 2003.
  • I. Sushko, L. Gardini and T. Puu. Duopoly with Piecewise Linear Discontinuous Reaction Functions. In: Oligopoly and Complex Dynamics: Models and Tools, T. Puu and I. Sushko (Ed.s), Springer, 2002.
  • T. Puu, L. Gardini and I. Sushko. Cournot Duopoly with Kinked Linear Demand According to Palander and Wald. In: Oligopoly and Complex Dynamics: Models and Tools, T. Puu and I. Sushko (Ed.s), Springer, 2002.
  • I. Sushko, Y.Maistrenko and L.Gardini. On chaotic attractors at the transition from homeomorphism to endomorphism in a family of two-dimensional maps. Grazer Math. Ber., Nr. 339 (1999), 335-346.
  • Yu. Maistrenko, I.Sushko and L.Gardini. About Two Mechanisms of Reunion of Chaotic Attractors, Chaos, Solitons & Fractals, Vol.9, No.8, (1998), 1373-1390.
  • Yu.L. Maistrenko and I.M. Sushko. Bifurcation phenomena for two-dimensional piecewise linear maps, J. Tech. Phys., Vol. 37, No. 3-4 (1996), 371-378.
  • Ch.Mira, Ch. Rauzy, Yu.L.Maistrenko, & I.M.Sushko. Some properties of a two-dimensional piecewise-linear noninvertible map, Int. J. Bifurcation and Chaos, Vol. 6, No. 12A (1996), 2299-2319.
  • Yu. Maistrenko, I.Sushko. Bifurcation phenomena in autooscillation systems with delay leading to two-dimensional piecewise linear maps. Proceeding NDES 95, Dublin, 1995.
  • Yu.L.Maistrenko, V.L.Maistrenko, I.M.Sushko. Order for the appearance of attractors in piecewise linear systems. In a book: Chaos and Nonlinear Mechanics, Series B, vol. 7, World Scientific, 1994.
  • Yu.L.Maistrenko, V.L.Maistrenko, I.M.Sushko. Bifurcation phenomena in generators with delay lines. J. "Radioengineering and electronics", Moscow, No. 8-9, 1994, 1367-1380.
  • Yu.L.Maistrenko, V.L.Maistrenko, I.M.Sushko. Period adding phenomenon in piecewise linear endomorphisms arising from electronic systems. Proc. of the Workshop NDES-94, Krakow, Poland, 1994, 39-44.
  • V.L.Maistrenko, Yu.L.Maistrenko, I.M.Sushko. Noninvertible two-dimen- sional maps arising in radiophysics. Int. J. "Bifurcation and Chaos", Vol. 4, No. 2 (1994) 383-400.
  • I.M.Sushko. Thesis "Stability and bifurcations of solutions of the families of difference equations with two deviations of argument". Institute of Mathematics of the Academy of Sciences of Ukraine, 1993, 76 p.
  • Yu.L.Maistrenko, V.L.Maistrenko, I.M.Sushko. Attractors of piecewise linear maps of straight line and plane. Preprint of the Institute of Mathematics of the Academy of Sciences of Ukraine, 1992, 55 p.
  • V.L.Maistrenko, Yu.L.Maistrenko, I.M.Sushko. On one noninvertible plane map arising in radiophysics. Preprint of the Institute of Mathematics of the Academy of Science of Ukraine, 1992, 33 p.