Stochastic Dynamics & Complex Systems

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Home People Sergey Melnik

Dr. Sergey Melnik

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Sergey Melnik

Dr. Sergey Melnik

Department of Mathematics and Statistics,
University of Limerick, Ireland
Telephone: +353 61 233264
Office: A-2015, Main building, UL.
Email: sergey-dot-melnik-at-ul-dot-ie

 

I am an IRCSET-Marie Curie Research Fellow at the University of Limerick and the University of Oxford. I have previously held a postdoctoral position at the University of Limerick. I was born in Samara, Russia and received MSc in Applied Mathematics & Computer Science (2003, Nayanova University, Russia) and PhD in Physics (2008, University College Cork, Ireland).

Research Interests

Much of my present work focuses on cascade dynamics on complex networks, and on understanding the power and limitations of tree approximations of network topology in modeling these dynamics. I am also interested in bifurcation analysis of dynamical systems such as epidemic models, and in investigating properties of online social networks. My research involves analytical and numerical approaches to these problems. I also have a strong background in computer science and in dynamics of semiconductor lasers. My interests in network science, and in complex systems in general, are quite broad.

  • Cascades on random networks
  • Online social networks
  • Bifurcation analysis
  • Parallel computation

Education

  • 2003-2008: PhD in Physics, University College Cork, Ireland. Thesis title: "Nonlinear and stochastic dynamics of semiconductor laser systems"
  • 1999-2003: MSc (with 1st honours) in Applied Mathematics and Computer Science, Samara, Russia.

Awards

  • 2009: Short Term Travel Fellowship from Science Foundation Ireland. This fellowship covered a 3-month research visit to the group of Dr. Mason A. Porter at the University of Oxford, UK.
  • 2010: Selected to attend the competitive 3-week long Santa Fe Insititute's Complex Systems Summer School in NM, USA. Entitled to financial support from ERA-Complexity, Ireland.
  • 2010: INSPIRE: IRCSET-Marie Curie International Mobility Fellowship in Science Engineering and Technology.
  • 2010: Second prize in the Best Paper Awards at ECCS'10: European Conference on Complex Systems, September 13-17, 2010, Lisbon, Portugal.

Work Experience

  • 09/2010 - present: INSPIRE: IRCSET-Marie Curie International Research Fellow at the University of Limerick and the University of Oxford.
  • 03/2008 - 09/2010: Postdoctoral researcher, Department of Mathematics and Statistics, University of Limerick, Ireland.
  • 01/2010 - 04/2010: Academic visitor at Dr. M.A. Porter's group, OCIAM, University of Oxford, UK.
  • 01/2008 - 03/2008: Research assistant, Photonic Device Dynamics Group, Tyndall National Institute, Cork.
  • 01/2006 - 03/2006: Tutorials in "Numerical Methods and Programming in MatLab" (AM2032), Applied Math Dept., National University of Ireland, Cork.
  • 10/2004 - 03/2006: Practical demonstrator in Physics (PY1052/PY1053), Physics Dept., National University of Ireland, Cork.
  • 10/2003 - 03/2004: Physics Helpdesk, Physics Dept., National University of Ireland, Cork.
  • 06/2002 - 07/2003: Software Engineer, Institute of Industrial Automation, Samara, Russia.
  • 01/1998 - 07/2003: Computer System Administrator, Audit Company "Kornaud-S", Samara, Russia.

Computer Skills

  • Generic Programming: C/C++/MPI/Java/Perl/Pascal/Assembler.
  • Specialized packages: AUTO, XPPAUT, Mathematica, MATLAB, Mathcad.
  • Linux-based computer systems administration.
  • Windows-based computer systems administration.

Papers

  1. S. Melnik, J. A. Ward, J. P. Gleeson, and M. A. Porter, "Multi-stage complex contagions" [arXiv:1111.1596] (2011).
  2. J. P. Gleeson, S. Melnik, J. A. Ward,  M. A. Porter, and P. J. Mucha, "Accuracy of mean-field theory for dynamics on real-world networks", Phys. Rev. E 85, 026106, (2012). [arXiv:1011.3710]
  3. A. Hackett, S. Melnik, and J. P. Gleeson, "Cascades on a class of clustered random networks", Phys. Rev. E 83, 056107, (2011). [arXiv:1012.3651]
  4. S. Melnik, A. Hackett, M. A. Porter, P. J. Mucha, and J. P. Gleeson, "The unreasonable effectiveness of tree-based theory for networks with clustering", Phys. Rev. E 83, 036112 (2011).
  5. J. P. Gleeson, S. Melnik, and A. Hackett, "How clustering affects the bond percolation threshold in complex networks", Phys. Rev. E 81, 066114 (2010).
  6. J. P. Gleeson and S. Melnik, "Analytical results for bond percolation and k-core sizes on clustered networks", Phys. Rev. E 80, 046121 (2009). [arXiv:0811.4511]
  7. S. Melnik, O. Rasskazov, and G. Huyet, "A Route to Robust Double Pulse Excitability in Optically Injected Semiconductor Lasers", J. Phys. Conf. Ser. 138, 012014 (2008).
  8. D. Goulding, S. Melnik, D. Curtin, T. Piwonski, J. Houlihan, J. P. Gleeson and G. Huyet, "Kramers' Law for a Bistable System with Time-Delayed Noise", Phys. Rev. E. 76, 031128 (2007). Or Printer friendly version with a few typos corrected.
  9. D. Goulding, S. P. Hegarty, O. Rasskazov, S. Melnik,· M. Hartnett, G. Greene, J. G. McInerney, D. Rachinskii, and G. Huyet, "Excitability in a Quantum Dot Semiconductor Laser with Optical Injection", Phys. Rev. Lett. 98, 153903 (2007).
  10. S. Melnik, G. Huyet, A.V. Uskov, "The Linewidth Enchancement Factor Alpha of Quantum Dot Semiconductor Lasers", Opt. Express 14, 2950-2955 (2006).

Conference Presentations

  1. S. Melnik, A. Hackett, M. A. Porter, P. J. Mucha, and J. P. Gleeson, "The unreasonable effectiveness of tree-based theory for bond percolation on networks with clustering", European Conference on Complex Systems (ECCS'10), September 13-17, 2010, Lisbon, Portugal. Best Paper Awards, 2nd prize.
  2. S. Melnik, A. Hackett, M. A. Porter, P. J. Mucha, and J. P. Gleeson, "The unreasonable effectiveness of tree-based theory for networks with clustering", poster presentation. International School and Conference on Network Science (NetSci'10), May 10-14, 2010, Boston, MA, USA.
  3. J. P. Gleeson, S. Melnik and A. Hackett. "How clustering affects a network’s bond percolation threshold", poster presentation. International School and Conference on Network Science (NetSci'10), May 10-14, 2010, Boston, MA, USA.
  4. A. Hackett, J. P. Gleeson, and S. Melnik. "Percolation in a class of clustered random networks", poster presentation. International School and Conference on Network Science (NetSci'10), May 10-14, 2010, Boston, MA, USA.
  5. S. Melnik and J.P. Gleeson, "Analyzing the impact of network clustering on bond percolation and k-core sizes", The 6th European Conference on Complex Systems (ECCS'09), September 21-25, 2009, Warwick, UK
  6. S. Melnik and J.P. Gleeson, “Analytical results for bond percolation on clustered random networks”, International Workshop and Conference on Complex Networks and their Applications (NetSci’09), June 29-July 03, 2009, Venice, Italy
  7. S. Melnik and J.P. Gleeson, "Analytical approach to bond percolation on clustered networks", International Workshop on Complex Networks (CompleNet’09), May 26-27, 2009, Catania, Italy
  8. S. Melnik and J.P. Gleeson, “Cascades on random networks”, poster presentation, The 5th European Conference on Complex Systems (ECCS'08), September 14-19, 2008, Jerusalem, Israel
  9. J.P. Gleeson and S. Melnik, “Cascades on correlated and modular networks”, International Workshop and Conference on Network Science (NetSci’08), June 23-27, 2008, Norwich, UK
  10. G. Huyet, D. Goulding, S Melnik, O. Rasskazov, S.P. Hegarty, D. Rachinskii, "Instabilities in quantum dot semiconductor lasers at 1.3 micron", Invited Presentation, CLEO EUROPE IQEC 2007, June 17-22, Munich, Germany
  11. D. Goulding, S.P. Hegarty, S. Melnik, M. Hartnett, J.G. McInerney, G. Huyet, "Excitability in a quantum dot semiconductor laser with optical injection", 6468-33, Photonics West 2007, January 20-25, San Jose, California, USA
  12. G. Huyet, D. Goulding, S.P. Hegarty, S. Melnik, O. Rasskazov, and D. Rachinskii, "Excitability of an injected quantum dot laser", Workshop "Nonlinear Dynamics in Semiconductor Lasers", November 19-21, 2007, Berlin, Germany
  13. D. Goulding, S.P. Hegarty, S. Melnik, M. Hartnett, J.G. McInerney, G. Huyet, "Injection Locking of 1320 nm Quantum-Dot Lasers",· CThGG3, CLEO/QELS 2006, May 21-26, Long Beach, California, USA
  14. Y. Chu, M.G. Thompson, R.V. Penty, I.H. White, S. Melnik, S.P. Hegarty, G.Huyet, F. Hopfer, M. Laemmlin, D. Bimberg, A.R. Kovsh, "1.3 micron Quantum Dot Laser Linewidth Rebroadening", CThX3, CLEO/QELS 2006, May 21-26, Long Beach, California, USA
  15. D. Goulding, S.P. Hegarty, S. Melnik, M. Hartnett, J.G. McInerney, G. Huyet, "An Excitable Laser", Multi-Rate Processes & Hysteresis MURPHYS 2006, April 3-8 2006, Cork, Ireland
  16. S.P. Hegarty, S. Melnik, G. Huyet, "Phase-amplitude coupling of quantum dot lasers", Invited Presentation, paper 6184-42, 06/04/2006, Photonics Europe 2006, April 3-7 2006, Strasbourg, France
  17. S. Melnik, G. Huyet, A.V. Uskov, "Phase-amplitude coupling of semiconductor quantum dot lasers", poster presentation, EA-14-MON, CLEO EUROPE EQEC 2005, June 12-17 2005, Munich, Germany
  18. A. V. Uskov, E. P. O'Reilly, G. Huyet, S. Melnik, D. O'Brien, "Theory of nonlinear gain due to spectral hole burning in quantum dot semiconductor lasers", paper 5628-12 (invited), Photonics Asia 2004, November 8-12 2004, Beijing, China
  19. G. Huyet, D. O'Brien, S.P. Hegarty, J. Houlihan, O. Caroll, S. Melnik, J. Muszalski and A.V. Uskov, "Quantum dot semiconductor lasers: linewidth enhancement factor and sensitivity to external optical feedback", European Semiconductor Laser Workshop, Sep. 3-4 2004, Saro, Gotenburg, Sweden
  20. S. Melnik, D. O'Brien, S.P. Hegarty, G. Huyet and A.V. Uskov, "Carrier capture dynamics in quantum dot lasers and the implications for modulation bandwidth", poster presentation, Emerging Technologies in Optical Sciences 2004, July 26-29 2004, Cork, Ireland

 

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