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    22 repositories

    • SSMLearn

      Public
      Data-driven reduced order modeling for nonlinear dynamical systems
      dynamical-systemsnonlinear-dynamicsdata-driven-modelreduced-order-models
      MATLAB
      •
      GNU Affero General Public License v3.0
      •27•49•0•0•Updated Nov 26, 2024Nov 26, 2024

    • SSMLearnPy

      Public
      Data-driven reduced order modeling for nonlinear dynamical systems
      Jupyter Notebook
      •
      GNU General Public License v3.0
      •5•19•0•0•Updated Sep 11, 2024Sep 11, 2024

    • Relative-Fluid-Stretching-and-Rotation-for-Sparse-Trajectory-Observations

      Public
      This repository contains the code to compute ralpha and rTSE in both 2D and 3D flows following the paper: "Relative Fluid Stretching and Rotation for Sparse Trajectory Observations" by Nikolas Aksamit, Alex P. Encinas Bartos, George Haller and David Rival (2024).
      Jupyter Notebook
      •1•0•0•0•Updated Aug 29, 2024Aug 29, 2024

    • DataDrivenLinearization

      Public
      Constructing linearizing transformations for reduced-order modeling of nonlinear dynamical systems
      dynamical-systemsnonlinear-dynamicsdynamic-mode-decompositiondata-driven-modelreduced-order-models
      Python
      •
      GNU General Public License v3.0
      •1•10•0•0•Updated Jul 23, 2024Jul 23, 2024

    • TBarrier

      Public
      Methods to extract advective, diffusive, stochastic and active transport barriers from 2D and 3D data.
      Jupyter Notebook
      •
      GNU General Public License v3.0
      •14•22•0•0•Updated Jun 18, 2024Jun 18, 2024

    • Material-Barriers-to-the-Diffusion-of-the-Magnetic-Field-in-MHD

      Public
      Datasets and Codes for the paper "Material Barriers to the Diffusion of the Magnetic Field".
      1•0•0•0•Updated May 18, 2024May 18, 2024

    • Aperiodic-SSMs

      Public
      Aperiodic spectral submanifold computation
      MATLAB
      •
      GNU General Public License v3.0
      •0•2•0•0•Updated Apr 15, 2024Apr 15, 2024

    • SSMTool-2.4

      Public
      Computation of invariant manifolds in high-dimensional mechanics problems
      MATLAB
      •
      GNU General Public License v3.0
      •9•23•0•0•Updated Aug 10, 2023Aug 10, 2023

    • DeformationVelocity

      Public
      Jupyter Notebook
      •1•1•0•0•Updated Dec 13, 2022Dec 13, 2022

    • QuasiObjectiveEddyVisualizationFromSparseDrifterData

      Public
      This repository contains the code generating the figures in the paper: Encinas-Bartos, A. P., Aksamit, N. O., & Haller, G. (2022). Quasi-objective eddy visualization from sparse drifter data. Chaos: An Interdisciplinary Journal of Nonlinear Science, 32(11), 113143.
      Jupyter Notebook
      •
      MIT License
      •3•0•0•0•Updated Nov 29, 2022Nov 29, 2022

    • TRA_TSE

      Public
      Compute the single Lagrangian trajectory diagnostics: Trajectory Rotation Average (TRA) and Trajectory Stretching Exponent (TSE)
      MATLAB
      •
      GNU General Public License v3.0
      •4•3•0•0•Updated Jun 23, 2021Jun 23, 2021

    • ModelSensitivity

      Public
      Numerical implementation for the calculation of bounds on prediction errors in dynamical systems subject to modeling uncertainties.
      Jupyter Notebook
      •
      GNU General Public License v3.0
      •3•1•0•0•Updated Jul 16, 2020Jul 16, 2020

    • TRAPs

      Public
      This code computes Transient Attracting Profiles TRAPs, also called Attracting Objective Eulerian Coherent Structures(OECSs).
      BSD 2-Clause "Simplified" License
      •3•2•0•0•Updated Jul 8, 2020Jul 8, 2020

    • BarrierTool

      Public
      Automated extraction of barriers to diffusive transport in two-dimensional velocity fields
      MATLAB
      •10•4•0•0•Updated Jul 2, 2020Jul 2, 2020

    • active-LCS-3D

      Public
      Active barriers to transport of momentum and vorticity
      GNU General Public License v3.0
      •5•1•0•0•Updated Jul 1, 2020Jul 1, 2020

    • active-LCS-2D

      Public
      Extraction of objective material barriers to the transport of momentum and vorticity in 2D flows.
      MATLAB
      •2•1•0•0•Updated Jun 21, 2020Jun 21, 2020

    • SteadyStateTool

      Public
      This program computes the steady-state response (SSR) of multi-degree-of-freedom nonlinear mechanical systems under multi-frequency forcing using integral equations approach.
      MATLAB
      •
      GNU General Public License v3.0
      •4•3•0•0•Updated Oct 1, 2019Oct 1, 2019

    • SSMtool

      Public
      SSMtool is an automated computational algorithm for computing two-dimensional spectral submanifolds (SSMs)
      MATLAB
      •6•6•0•0•Updated Mar 4, 2019Mar 4, 2019

    • Closed-Null-Geodesics-2D

      Public
      This code computes elliptic LCSs in 2D, and can be used to compute general null-geodesics with minor modifications.
      MATLAB
      •
      BSD 2-Clause "Simplified" License
      •11•3•0•0•Updated Nov 10, 2016Nov 10, 2016

    • Lagrangian-Averaged-Vorticity-Deviation-LAVD

      Public
      LAVD is a tool to detect Rotationally coherent Lagrangian vortices automatically in 2D/3D unsteady flows
      MATLAB
      •23•5•0•0•Updated Feb 27, 2016Feb 27, 2016

    • Elliptic_LCS_2D

      Public
      Elliptic_LCS_2D is a tool to detect Geodesic transport barriers automatically in 2D unsteady flows
      MATLAB
      •
      BSD 2-Clause "Simplified" License
      •13•4•0•0•Updated Feb 27, 2016Feb 27, 2016

    • LCStool

      Public
      LCS Tool is a computational engine for analyzing fluid flows by extracting their most influential material surfaces, Lagrangian Coherent Structures.
      MATLAB
      •14•26•1•0•Updated Jun 10, 2015Jun 10, 2015