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SciML /DifferentialEquations.jl

Sponsor

Star3.1k

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equations (SDEs), delay differential equations (DDEs), differential-algebraic equations (DAEs), and more in Julia.

python r julia ode dde scientific dynamical-systems differential-equations differentialequations sde dae spde stochastic-differential-equations delay-differential-equations numerical stochastic-processes differential-algebraic-equations scientific-machine-learning neural-differential-equations sciml

UpdatedFeb 8, 2026
Julia

knightnemo /Awesome-World-Models

Star2k

A Curated List of Awesome Works in World Modeling, Aiming to Serve as a One-stop Resource for Researchers, Practitioners, and Enthusiasts Interested in World Modeling.

generative-model awesome-list dynamical-systems world-models embodied-ai

UpdatedFeb 15, 2026

patrick-kidger /diffrax

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Star1.9k

Numerical differential equation solvers in JAX. Autodifferentiable and GPU-capable.https://docs.kidger.site/diffrax/

machine-learning deep-learning neural-networks dynamical-systems differential-equations equinox jax neural-differential-equations

UpdatedFeb 18, 2026
Python

dynamicslab /pysindy

Star1.7k

A package for the sparse identification of nonlinear dynamical systems from data

machine-learning dynamical-systems nonlinear-dynamics system-identification sparse-regression model-discovery

UpdatedFeb 19, 2026
Python

google-research /torchsde

Star1.7k

Differentiable SDE solvers with GPU support and efficient sensitivity analysis.

deep-neural-networks deep-learning pytorch dynamical-systems differential-equations stochastic-differential-equations stochastic-processes stochastic-volatility-models neural-differential-equations

UpdatedDec 30, 2024
Python

DiffEqML /torchdyn

Star1.6k

A PyTorch library entirely dedicated to neural differential equations, implicit models and related numerical methods

deep-learning neural-network pytorch dynamical-systems numerical-methods control-theory neural-ode neural-differential-equations deep-equilibrium-models implicit-models

UpdatedMay 2, 2024
Jupyter Notebook

Zymrael /awesome-neural-ode

Star1.5k

A collection of resources regarding the interplay between differential equations, deep learning, dynamical systems, control and numerical methods.

deep-learning root-finding ode dynamical-systems ordinary-differential-equations dynamical-modeling ode-solver hamiltonian-dynamics implicit-models

UpdatedSep 13, 2024

pnnl /neuromancer

Star1.3k

Pytorch-based framework for solving parametric constrained optimization problems, physics-informed system identification, and parametric model predictive control.

deep-learning pytorch constrained-optimization dynamical-systems control-systems nonlinear-dynamics nonlinear-optimization differentiable-programming physics-informed-ml differentiable-optimization differentiable-control

UpdatedJan 29, 2026
Python

FRBNY-DSGE /DSGE.jl

Star921

Solve and estimate Dynamic Stochastic General Equilibrium models (including the New York Fed DSGE)

economics dynamical-systems bayesian-inference statistical-models dsge macroeconomics

UpdatedJan 9, 2026
Julia

JuliaDynamics /DynamicalSystems.jl

Star919

Award winning software library for nonlinear dynamics and nonlinear timeseries analysis

entropy physics mathematics chaos nonlinear complexity dynamical-systems nonlinear-dynamics hacktoberfest lyapunov fractal-dimension attractor delay-coordinates

UpdatedJan 30, 2026
Julia

patrick-kidger /NeuralCDE

Sponsor

Star698

Code for "Neural Controlled Differential Equations for Irregular Time Series" (Neurips 2020 Spotlight)

machine-learning deep-neural-networks deep-learning time-series pytorch neural-networks dynamical-systems differential-equations rough-paths neural-differential-equations controlled-differential-equations

UpdatedOct 22, 2022
Python

JuliaControl /ControlSystems.jl

Star573

A Control Systems Toolbox for Julia

controls lti-system simulations dynamical-systems control-systems laplace-transform feedback-systems model-reduction pid-control control-theory kalman-filter feedback-controller bode-plot lqr-controller automatic-control nyquist-diagrams delay-systems discrete-systems riccati-equations lqg-controller

UpdatedJan 28, 2026
Julia

aristoteleo /dynamo-release

Star490

Inclusive model of expression dynamics with conventional or metabolic labeling based scRNA-seq / multiomics, vector field reconstruction and differential geometry analyses

dynamo scrna-seq differential-geometry dynamical-systems vector-field scslam-seq potential-landscape nasc-seq sci-fate scnt-seq rna-velocity cell-fate rna-jacobian rna-acceleration rna-curvature rna-divergence