Shlizerman's Research Group on
Data-driven Dynamical Systems
Data driven Dynamical Systems
   Publications


    Classification of Fixed Point Network Dynamics From Multiple Node Timeseries Data
D. Blaszka, E. Sanders, J. Riffell, E Shlizerman
Front Neuroinform. (2017) | Github

    Fokas’s Unified Transform Method for linear systems
B. Deconinck, Q. Guo, E. Shlizerman, V. Vasan
Quarterly of Applied Mathematics (2017) | Arxiv

    Multistability and Long-Timescale Transients Encoded by Network Structure in a Model of C. elegans Connectome Dynamics
J. Kunert, E. Shlizerman, A. Walker, J. N. Kutz
Front. Comp. Neuro. (2017)

    Neural integration underlying a time-compensated sun compass in the migrating monarch butterfly
E. Shlizerman, J. Phillips, D. Forger, S. Reppert
Cell Reports 2016 | Project Webpage | Cell Press | UW News

    Neural integration underlying a time-compensated sun compass in the migrating monarch butterfly
E. Shlizerman, J. Phillips, D. Forger, S. Reppert
Cosyne (2016), Oral presentation.


    Symmetries constrain dynamics in a family of balanced neural networks
A. Barreiro, J.N. Kutz and E. Shlizerman
J. Math. Neuro. (2017), arXiv:1602.05092.

    Closing the Loop: Optimal Stimulation of C. elegans Neuronal Network via Adaptive Control to Exhibit Full Body Movements
J. Santos, E. Shlizerman
BMC Neuroscience, CNS 2015 (Oral).

    Inference of Functional Sub-Circuits in the Dynamical Connectome of the C. elegans Worm
E. Shlizerman and S. G. Babb
Cosyne (2015)

    Identifying proxies for behavior in full-network C. elegans neural simulations
J. Kunert, E. Shlizerman and J. N. Kutz
Cosyne (2015)

    Flower discrimination by pollinators in a dynamic chemical environment
J. Riffell, E. Shlizerman, E. Sanders, L. Abrell, B. Medina, A. J. Hinterwirth, and J. N. Kutz
Science (2014) | Project Webpage | Science Perspective | Science Highlight | UW News

    Data-driven inference of network connectivity for modeling the dynamics of neural codes in the insect antennal lobe
E. Shlizerman, J. Riffell and J. N. Kutz,
Front. Comp. Neuro. (2014) | Project Webpage | arXiv:1311.7450 (2013).

    Low-dimensional functionality of complex network dynamics: Neuro-sensory integration in the C. elegans connectome
J. Kunert, E. Shlizerman, and J. N. Kutz,
Phys. Rev. E, 89, 052805 (2014)  arXiv: :1310.6689 (2013).

    Competing spatiotemporal neural codes in the olfaction of the Manduca sexta moth
E. Shlizerman, J. Riffell and J. N. Kutz,
BMC Neuroscience / CNS Proc. (2012) Pdf

    Neural dynamics, bifurcations and firing rates in a quadratic integrate-and-fire model with a recovery variable. I: deterministic behavior
E. Shlizerman and P. Holmes,
Neural Computation 24(8), 2078–2118 (2012). Pdf

  Neural Activity Measures and Their Dynamics
E. Shlizerman, K. Schroder and J. N. Kutz
SIAM J. Appl. Math., 72(4), 1260–1291 (2012). Pdf

  The Low Dimensionality of Time-Periodic Standing Waves in Water of Finite and Infinite Depth
M.O. Williams, E. Shlizerman, J. Wilkening, and J.N. Kutz,
SIAM J. App. Dyn. Sys., 11(3), 1033-1061 (2012).

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

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

  Characterizing and suppressing multi-pulsing instabilities in mode-locked lasers
E. Shlizerman, E. Ding, M.O. Williams and J.N. Kutz
Proc. of Phot. West (2011) Pdf

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

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

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

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

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

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

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

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

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

    Energy surfaces and Hierarchies of bifurcations - Instabilities in the forced truncated NLS
E. Shlizerman and V. Rom-Kedar,
Chaotic Dynamics and Transport in Classical and Quantum Systems, 2005. Pdf Webpage