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uw.eduPublications and Submitted Manuscripts
In Mathematical Neuroscience:
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Eli Shlizerman, Jeff Riffell and J. Nathan Kutz, Competing spatiotemporal neural codes in the olfaction of the Manduca sexta moth preprint. Abstract |
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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. |
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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:
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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). |
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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). |
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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 |
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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 |
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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 |
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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:
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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. |
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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 |
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E. Shlizerman and V. Rom-Kedar, Parabolic Resonance: A Route to Hamiltonian Spatio-Temporal Chaos Physical Review Letters, 102, 033901 (2009). Journal |
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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 |
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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) |
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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 |
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E. Shlizerman and V. Rom-Kedar, Hierarchy of bifurcations in the truncated and forced NLS model CHAOS, 15(1), March, 2005. Pdf | Journal | Webpage |
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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. |
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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 |