Eli Shlizerman

Eli Shlizerman
Acting Assistant Professor
Department of Applied Mathematics
University of Washington

Teaching  |  Publications  |  Talks  |  Conferences

Contact: 
E-mail:shlizeeuw.edu
Office:Guggenheim, 418D
Phone:206 543 6658
Fax:206 685 1440

Teaching: 
2012: Applied PDEs, Beginning Scientific Computing (UW)
2010-2011:Beginning Scientific Computing (UW)
2009-2010:Beginning Scientific Computing (UW)
2008-2009:Dynamical Systems and Modeling (WIS)
2007:Students Course (WIS)

Research Interests:also featured in AMATH Newsletter 2011 (page 4).
Dynamical Systems & Chaos
Mathematical Neuroscience
Nonlinear Waves and Applications of nonlinear PDEs
Eli Shlizerman

Publications and Submitted Manuscripts

  In Mathematical Neuroscience:


    Eli Shlizerman, Jeff Riffell and J. Nathan Kutz,
Competing spatiotemporal neural codes in the olfaction of the Manduca sexta moth
preprint.
Abstract

    Eli Shlizerman and Philip Holmes,
Neural dynamics, bifurcations and firing rates in a quadratic integrate-and-fire model with a recovery variable. I: deterministic behavior
Neural Computation, to appear.
Pdf

  Eli Shlizerman, Konrad Schroder and J. Nathan Kutz
Neural Activity Measures and Their Dynamics
SIAM J. on App. Math. (SIAP), to appear.
Pdf | Webpage

  In Dissipative Solitons / Mode-Locked Lasers:


  M.O. Williams, J. Wilkening, E. Shlizerman and J.N. Kutz
Continuation of Periodic Solutions in the Waveguide Array Mode-Locked Laser
Physica D, 240, 1791-1804 (2011).
Pdf

  E. Shlizerman, E. Ding, M.O. Williams and J.N. Kutz
The Proper Orthogonal Decomposition for Dimensionality Reduction in Mode-Locked Lasers and Optical Systems
Int. J. of Optics, 831604 (2012).
Pdf

  E. Shlizerman, E. Ding, M.O. Williams and J.N. Kutz
Characterizing and suppressing multi-pulsing instabilities in mode-locked lasers
Proceedings of Photonics West 2011
Pdf | Journal

  Edwin Ding, Eli Shlizerman, and J. Nathan Kutz
A Generalized Master Equation for High-Energy Passive Mode-Locking: The Sinusoidal Ginzburg-Landau Equation
IEEE J. of Quant. Elec., 47:5, 705-714 (2011)
Journal

  M.O. Williams, E. Shlizerman and J.N. Kutz
The Multi-Pulsing Transition in Mode-Locked Lasers: A Low-Dimensional Approach using Waveguide Arrays
J. Opt. Soc. Am. B, 27, 2471-2481 (2010)
Journal

  E. Ding, E. Shlizerman and J.N. Kutz
Modeling Multi-Pulsing Transition in Ring Cavity Lasers with Proper Orthogonal Decomposition
Phys. Rev. A, 82, 023823 (2010).
Journal

  In NLS / Near-Integrable PDEs / Hamiltonian systems:


  M.O. Williams, E. Shlizerman, J. Wilkening, and J.N. Kutz,
The Low Dimensionality of Time-Periodic Standing Waves in Water of Finite and Infinite Depth
SIAM J. App. Dyn. Sys. (SIADS), submitted.

  E. Shlizerman and V. Rom-Kedar,
Classification of solutions of the forced periodic nonlinear Schrödinger equation
Nonlinearity (In highly downloaded collection 2010), 23, 2183-2218 (2010).
Highly downloaded collection 2010 | Journal

    E. Shlizerman and V. Rom-Kedar,
Parabolic Resonance: A Route to Hamiltonian Spatio-Temporal Chaos
Physical Review Letters, 102, 033901 (2009).
Journal

    E.W. Kirr, P. Kevrekides, E. Shlizerman and M.I. Weinstein
Symmetry Breaking Bifurcation in the Nonlinear Schrödinger - Gross-Pitaevskii Equations
SIAM J. Math. Anal. (SIMA), Volume 40, Issue 2, pp. 566-604 (2008).
Journal

    E. Shlizerman and V. Rom-Kedar,
Three types of chaos in the forced nonlinear Schrödinger equation
Physical Review Letters, 96, 024104 (2006).
Pdf | Journal | Webpage (includes Movies)

    E. Shlizerman and V. Rom-Kedar,
Characterization of Orbits in the Truncated Nonlinear Schrödinger Model
ENOC-2005, Fifth EUROMECH Nonlinear Dynamics Conference.
Pdf | Updated | Webpage

    E. Shlizerman and V. Rom-Kedar,
Hierarchy of bifurcations in the truncated and forced NLS model
CHAOS, 15(1), March, 2005.
Pdf | Journal | Webpage

    E. Shlizerman and V. Rom-Kedar,
Energy surfaces and Hierarchies of bifurcations - Instabilities in the forced truncated NLS
In Proceedings of the International Summer School on Chaotic Dynamics and Transport in Classical and Quantum Systems. October, 2004.
Pdf | Book on Amazon | Webpage

Invited Talks

  Dec 2011, The Hebrew University, Nonlinear Dynamics Seminar
  Dec 2011, Weizmann Inst. of Science, Mathematical Analysis and Applications Seminar
  Dec 2011, University of Oxford, Centre for Industrial and Applied Mathematics
  Nov 2011, University of Washington, The Daniel Lab, Biology Department
  Oct 2011, Princeton University, Dynamical Systems & Nonlinear Science Seminar
  Oct 2011, Columbia University, Applied Mathematics Colloquium
  Oct 2011, Cornell University, Computational and Applied Mathematics Seminar
  Oct 2011, Brown University, Lefschetz Center for Dynamical Systems Seminar
  Oct 2011, Boston University, Mathematical Neuroscience Group Seminar
  Oct 2011, University of Massachusetts Amherst, Applied Analysis & Computation Seminar
  Apr 2011, UC Berkeley, Applied Mathematics Seminar
  Feb 2010, Princeton University, Dynamical Systems & Nonlinear Science Seminar
  Jan 2010, University of Washington, SIAM-UW Seminar
  May 2009, Tel Aviv University, Applied Mathematics Seminar
  Feb 2009, UC Santa Barbara, Dynamical Systems Seminar
  Feb 2009, Brown University, Lefschetz Center for Dynamical Systems Seminar
  Jan 2009, Columbia University, Applied Mathematics Colloquium
  Jul 2006, Columbia University, Applied Mathematics Colloquium
  Jun 2005, Caltech, CIMMS Lunchtime Series

Conferences Presentations

Competing spatiotemporal neural codes in the olfaction of the Manduca sexta moth
  Israeli Applied Mathematics Workshop, Dec, 2011.
Principal component analysis for low-dimensional modeling of mode-locked lasers
  WAVES, Vancouver, Jul, 2011.
   * Received "SIAM Early Career Travel Award".
Neural activity measures and their dynamics (Invited Speaker)
  Frontiers in Computational and Applied Mathematics (FACM), NJIT, June, 2011.
Mini-simposium co-organizer: Dynamics and Statistics of Neural Networks and Fields I II,
  Speakers:  MS I: Paul C. Bressloff, Eli Shlizerman, Kevin Ford and Carson C. Chow
                   MS II:  Katherine Newhall, Chin-Yueh Liu, Andrea K. Barreiro and Sara A. Solla
  Talk title: Neural Activity Measures and Their Dynamics
  Co-authors' talks: Vered Rom-Kedar, Edwin Ding, J. Nathan Kutz, Mathew O. Williams.
  SIAM DS Conference, Snowbird, May, 2011.
Characterizing and suppressing multi-pulsing instabilities in mode-locked lasers,
  SPIE OPTO Photonics West, San Francisco, January, 2011
Principal compent analysis for low-dimensional modeling of mode-locked lasers (Invited Speaker),
  International Conference on Applications in Nonlinear Dynamics, Lake Louise, Canada, September, 2010
Meanfield modeling for a network of interacting neurons,
  Workshop for Young Researchers in Mathematical Biology, MBI, September, 2010
Mini-simposium organizer: Reduced Models of Nonlinear Evolution Equations and Their Dynamics,
  Speakers: Jeremy Marzuola, Richard O. Moore, Eli Shlizerman and Eduard Kirr
  Talk title: Transitional Dynamics in the Reduced Model of a Mode-locking Waveguide Array (with M.O. Williams, J.N. Kutz)
  SIAM NW and CS Conference, Philadelphia, August, 2010.
Parabolic Resonance - A Route to Spatio Temporal Chaos,
  SIAM Conference on Applications of Dynamical Systems, Snowbird - Utah, USA, May, 2009.
   * Received "SIAM Student Travel Award" at DS'09.
Parabolic Resonance- A Route to Spatio Temporal Chaos,
  Workshop on Stability and Instability in Mechanical Systems: Applications and Numerical Tools, Barcelona, Dec, 2008.
Instabilities in the Forced Periodic Non-linear Schrödinger Equation - Part II (Spatio Temporal chaos),
  SIAM Conference on Nonlinear Waves and Coherent Structures, Rome, July, 2007.
Resonant Surface Waves - new theory of old experiments,
  Sixth Negev Workshop on Applied Mathematics, Blaustein Institute For Advanced Studies in Mathematics,
  Sede-Boqer Campus, July, 2007.
Resonant Surface Waves - new theory of old experiments,
  SIAM Conference on Applications of Dynamical Systems, Snowbird - Utah, USA, May, 2007.
   * Chair of concurrent session (CP1) on "Dynamics of Waves".
Mechanisms of chaos in the forced nonlinear Schrödinger equation,
  Israeli Applied Math. Workshop, Tel Aviv University, Israel, January, 2006. ppt
Instabilities in the Forced and Truncated Non-linear Schrödinger Equation,
  SIAM Conference on Applications of Dynamical Systems, Snowbird - Utah, USA, May, 2005. ppt
   * Received "SIAM Student Travel Award" at DS'05.
Instabilities in the Forced and Truncated Non-linear Schrödinger Equation,
  Israeli Applied Math. Workshop, Bar-Ilan University, Israel, December, 2004. ppt
Energy surfaces and Hierarchies of bifurcations,
  International Summer School on Chaotic Dynamics and Transport in Classical and Quantum Systems,
  Cargese, France, August, 2003. ppt
Department of Applied Mathematics, University of Washington, Guggenheim Hall #414, Box 352420, Seattle, WA 98195-2420 USA
Email 'info' (at amath.washington.edu) Phone 206-543-5493 Fax 206-685-1440