Curriculum
- 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.
- Frequency clusterization in systems of coupled phase oscillators.
- 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.
| April 2011 |
Doctor of Philosophy Degree in «Mathematical modeling and computational methods». |
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| 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). |
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| June-August 2006 |
Visiting researcher at the Technical University of Denmark, Lyngby, Denmark. |
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| 2002-2003 |
Visiting researcher in the Laboratory of Nonlinear Systems, Swiss Federal Institute of Technology Lausanne. |
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| 2001 |
Visiting researcher in the Institute for Chemistry and Biology of the Marine Environment, Carl von Ossietzky University, Oldenburg, Germany. |
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| 2001 |
Master of Science Degree in Electronic Engineering from the University College Dublin. |
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| 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. |