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 |