Anna Vasylenko, Ph.D., M.S.

   Curriculum

    April 2011  

    Doctor of Philosophy Degree in «Mathematical modeling and computational methods».

    2004 – present  

    Research fellow at:

    International Research and Training Center for Information Technologies and Systems of NASU and Ministry of Education and Science of Ukraine (2004 - present).

    National Scientific Centre for Medical and Biotechnical Research, NAS of Ukraine (2008 - present).

    Institute of Mathematics, NAS of Ukraine (2004 - 2008).

    June-August 2006  

    Visiting researcher at the Technical University of Denmark, Lyngby, Denmark.

    2002-2003  

    Visiting researcher in the Laboratory of Nonlinear Systems, Swiss Federal Institute of Technology Lausanne.

    2001  

    Visiting researcher in the Institute for Chemistry and Biology of the Marine Environment, Carl von Ossietzky University, Oldenburg, Germany.

    2001  

    Master of Science Degree in Electronic Engineering from the University College Dublin.

    1998  

    Master of Science Degree in Mathematics from the National Taras Shevchenko University of Kyiv and Master of Science Degree in Radioecology from the Ukrainian Radiologic Centre, Kyiv, Ukraine.

    Topics of interest

    • Theory of nonlinear dynamical systems, bifurcation theory and their applications in biology, neuroscience, engineering and other fields.
    • Nonlinear dynamics of systems of coupled phase oscillators.
    • Phase synchronization, desynchronization, chaos, hyperchos.
    • Computer simulations of the dynamics of complex systems.

    Present Project

    • Frequency clusterization in systems of coupled phase oscillators.

    Publications

    • A. Vasylenko, Mathematical modelling of nonlinear processes of phase synchronization and chaos (in Ukrainian). PhD thesis (manuscript), 2010. Kyiv, Ukraine.
    • V. Maistrenko, A. Vasylenko , Yu. Maistrenko , E. Mosekilde Phase Chaos in the Discrete Kuramoto Model. International Journal of Bifurcation and Chaos. Vol.20, № 6 (2010), 1811-1823.
    • A.A.Vasylenko, V.L.Maistrenko, and Yu.L.Maistrenko, Hyperchaos in time-discrete Kuramoto model, Proceedings of Ukrainian Mathematical Congress – 2009, Kyiv, Ukraine.
    • A. Vasylenko, V. Maistrenko, Yu. Maistrenko Impact of discreteness on hyperchaos in the Kuramoto model. Proceedings of NDES-2009, Zurich, 74-77.
    • V. Maistrenko, A. Vasylenko, Yu. Maistrenko and E. Mosekilde, Phase chaos and multistability in the discrete Kuramoto model. Nonlinear Oscillations, Vol. 11, 2, 2008, 217-229.
    • A. Vasylenko, Phase dynamics and synchronization in a system of globally coupled oscillators (in Ukrainian). Visnyk of Kyiv University, Vol.7, 2007, 7-13.
    • A. Vasylenko, Yu. Maistrenko and M. Hasler, Synchronization in Discrete Kuramoto Model: Two and Three Coupled Phase Oscillators, Proceedings of the 2nd IEEE International conference on Circuits and Systems for Communications ICCSC'04, Moscow, Russia.
    • A. Vasylenko, Yu. Maistrenko and M. Hasler, Modelling the Phase Synchronization in Systems of Two and Three Coupled Oscillators. Nonlinear Oscillations, Vol. 7, No 3 (2004) 311-327.
    • A. Vasylenko, Yu. Maistrenko and M. Hasler, Synchronization in Models of Discrete Phase Oscillators. Proceedings of NDES-2004, Evora, Portugal, 2004, 360-363.
    • A. Vasylenko, Yu. Maistrenko, O. Feely and U. Feudel, Mode-locking in Quasi-periodically Forced System with Very Small Driving Frequency. International Journal of Bifurcation and Chaos, Vol. 14, № 5 (2004) 1643-1654.
    • A. Vasylenko and O. Feely, Dynamics of Phase-locked Loop with FM Input and Low Modulating Frequency. International Journal of Bifurcation and Chaos, Vol. 12, № 7 (2002) 1633-1642.
    • A. Vasylenko, O. Feely and Yu. Maistrenko, Mode-Locking and Strange Nonchaotic Attractors in a Digital Phase-Locked Loop with FM Input. Proceedings of the European Conference on Curcuit Theory and Design, Vol. II, Helsinki, August 2001, 169-172.
    • A. Vasylenko and O. Feely, Nonlinear Dynamics of First-Order DPLL with Frequency Modulated Input. Proceedings of the IEEE International Symposium on Circuits and Systems, Vol.2, Sydney, May 2001, 775-778.
    • A. Vasylenko and O. Feely, Nonlinear Dynamics of First-Order Digital Phase-locked Loop with Frequency-Modulated Input Signal. Proceedings of the 1st European Interdisciplinary School on Nonlinear Dynamics for System and Signal Analysis Euroattractor 2000, Pabst Science Publishers, 2001, 205-214.
    • A. Vasylenko and O. Feely, Nonlinear Dynamics of First-Order DPLL with Frequency Modulated Input. Proceedings of the International Symposium on Nonlinear theory and its Applications, Dresden, 2000, 457-460.