dynamical-systems

There are 22 repositories under dynamical-systems topic.

SciML / DifferentialEquations.jl
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.
differential-equations differentialequations julia ode sde pde dae dde spde stochastic-processes stochastic-differential-equations delay-differential-equations partial-differential-equations differential-algebraic-equations dynamical-systems neural-differential-equations r python scientific-machine-learning sciml
Language:Julia 2754
google-research / torchsde
Differentiable SDE solvers with GPU support and efficient sensitivity analysis.
deep-learning deep-neural-networks differential-equations dynamical-systems neural-differential-equations pytorch stochastic-differential-equations stochastic-processes stochastic-volatility-models
Language:Python 1462
dynamicslab / pysindy
A package for the sparse identification of nonlinear dynamical systems from data
dynamical-systems machine-learning sparse-regression model-discovery system-identification nonlinear-dynamics
Language:Python 1286
DiffEqML / torchdyn
A PyTorch library entirely dedicated to neural differential equations, implicit models and related numerical methods
deep-learning neural-network neural-differential-equations pytorch dynamical-systems deep-equilibrium-models implicit-models control-theory neural-ode numerical-methods
Language:Jupyter Notebook 1272
patrick-kidger / diffrax
Numerical differential equation solvers in JAX. Autodifferentiable and GPU-capable. https://docs.kidger.site/diffrax/
differential-equations jax deep-learning neural-differential-equations machine-learning dynamical-systems neural-networks equinox
Language:Python 1220
Zymrael / awesome-neural-ode
A collection of resources regarding the interplay between differential equations, deep learning, dynamical systems, control and numerical methods.
deep-learning ordinary-differential-equations dynamical-systems dynamical-modeling ode-solver ode hamiltonian-dynamics implicit-models root-finding
1195
FRBNY-DSGE / DSGE.jl
Solve and estimate Dynamic Stochastic General Equilibrium models (including the New York Fed DSGE)
economics macroeconomics dsge bayesian-inference statistical-models dynamical-systems
Language:Julia 842
JuliaDynamics / DynamicalSystems.jl
Award winning software library for nonlinear dynamics and nonlinear timeseries analysis
physics mathematics dynamical-systems julia lyapunov dimension nonlinear chaos julialang entropy attractor nonlinear-dynamics delay-coordinates hacktoberfest
Language:Julia 800
pnnl / neuromancer
Pytorch-based framework for solving parametric constrained optimization problems, physics-informed system identification, and parametric model predictive control.
constrained-optimization control-systems deep-learning differentiable-programming dynamical-systems pytorch differentiable-optimization nonlinear-dynamics nonlinear-optimization differentiable-control physics-informed-ml
Language:Python 721
patrick-kidger / NeuralCDE
Code for "Neural Controlled Differential Equations for Irregular Time Series" (Neurips 2020 Spotlight)
machine-learning rough-paths neural-differential-equations time-series controlled-differential-equations deep-learning deep-neural-networks pytorch dynamical-systems differential-equations neural-networks
Language:Python 580
JuliaControl / ControlSystems.jl
A Control Systems Toolbox for Julia
control-systems dynamical-systems simulations control-theory automatic-control controls lti-system model-reduction feedback-systems feedback-controller pid-control lqg-controller lqr-controller kalman-filter riccati-equations bode-plot nyquist-diagrams delay-systems discrete-systems laplace-transform
Language:Julia 485
aristoteleo / dynamo-release
Inclusive model of expression dynamics with conventional or metabolic labeling based scRNA-seq / multiomics, vector field reconstruction and differential geometry analyses
dynamo scslam-seq scrna-seq vector-field potential-landscape nasc-seq sci-fate scnt-seq rna-velocity cell-fate dynamical-systems differential-geometry rna-jacobian rna-acceleration rna-curvature rna-divergence
Language:Python 401
patrick-kidger / torchcde
Differentiable controlled differential equation solvers for PyTorch with GPU support and memory-efficient adjoint backpropagation.
time-series machine-learning neural-differential-equations controlled-differential-equations deep-learning deep-neural-networks pytorch dynamical-systems differential-equations neural-networks
Language:Python 392
zwicker-group / py-pde
Python package for solving partial differential equations using finite differences.
python partial-differential-equations dynamical-systems pdes scientific-computing finite-difference-method
Language:Python 372
sysidentpy
wilsonrljr / sysidentpy
A Python Package For System Identification Using NARMAX Models
machine-learning system-identification narmax narx data-science time-series dynamical-systems
Language:Python 311
ComponentArrays.jl
jonniedie / ComponentArrays.jl
Arrays with arbitrarily nested named components.
differential-equations differentialequations control-systems controls-and-dynamics controls scientific-machine-learning modeling simulation simulation-modeling dynamical-systems array named-tuples arrays machine-learning julia neural-ode neural-networks optimization modeling-language
Language:Julia 277
easy-neural-ode
jacobjinkelly / easy-neural-ode
Code for the paper "Learning Differential Equations that are Easy to Solve"
neural-ode differential-equations machine-learning jax deep-learning deep-neural-networks dynamical-systems neural-differential-equations numerical-integration ode ode-solver
Language:Python 262
JuliaDynamics / NonlinearDynamicsTextbook
Nonlinear Dynamics: A concise introduction interlaced with code
nonlinear-dynamics julia springer-book nonlinear-timeseries-analysis chaos dynamical-systems complex-networks textbook tipping-point bifurcation-analysis
Language:Julia 207
JuliaDynamics / ChaosTools.jl
Tools for the exploration of chaos and nonlinear dynamics
physics nonlinear chaos entropy dynamical-systems lyapunov julia dimension attractor dynamicalsystems hacktoberfest
Language:Julia 185
JuliaReach / ReachabilityAnalysis.jl
Computing reachable states of dynamical systems in Julia
numerical-analysis hybrid-systems formal-verification cyber-physical-systems reachability-analysis rigorous-numerics differential-equations interval-arithmetic dynamical-systems control-systems verification ode julia automatic-control simulations set-propagation flowpipe
Language:Julia 185
Zymrael / gde
Neural Graph Differential Equations (Neural GDEs)
graph-neural-networks neural-ode dynamical-systems
Language:Jupyter Notebook 178
JuliaDynamics / InteractiveDynamics.jl
Fast, general-purpose interactive applications for complex systems
julia chaos interactive nonlinear dynamics dynamical-systems orbit-diagram bifurcation-diagram hacktoberfest agent-based-modeling gui-application
Language:Julia 169
petercorke / bdsim
Simulate dynamic systems expressed in block diagram form using Python
dynamical-systems dynamics-simulation diagram-form simulation block-diagram robotics python numpy
Language:HTML 161
springer-math / dynamical-systems-with-applications-using-python
Source code for 'Dynamical Systems with Applications Using Python' by Stephen Lynch
python dynamical-systems
Language:Python 144
wanxinjin / Pontryagin-Differentiable-Programming
A unified end-to-end learning and control framework that is able to learn a (neural) control objective function, dynamics equation, control policy, or/and optimal trajectory in a control system.
differentiable-programming end-to-end-learning inverse-reinforcement-learning learning-control trajectory-optimization motion-planning optimal-control system-identification control-systems dynamical-systems pontryagin-maximum-principle reinforcement-learning reinforcement-learning-environments imitation-learning control-learning trajectory-optimisation
Language:Python 144
robertobucher / pysimCoder
Block diagram editor and real time code generator for Python
python pysimcoder realtime-generator block-diagram-editor hybrid-simulation dynamical-systems
Language:C 126
ControlSystemIdentification.jl
baggepinnen / ControlSystemIdentification.jl
System Identification toolbox, compatible with ControlSystems.jl
estimation transfer-function-estimation identification arx system-identification control-systems dynamical-systems spectral-analysis state-space-systems lti-system coherence time-series-analysis time-series subspace-identification n4sid frequency-response kalman-filter controls parameter-estimation
Language:Julia 122
peterkrull / quad
Firmware, hardware and documentation for my autonomous quad copter project
async embedded flight-controller rust control-systems drone dynamical-systems modeling quadcopter
Language:Rust 114
auto-07p / auto-07p
AUTO is a publicly available software for continuation and bifurcation problems in ordinary differential equations originally written in 1980 and widely used in the dynamical systems community.
dynamical-systems ode ordinary-differential-equations
Language:Fortran 112
LowLevelParticleFilters.jl
baggepinnen / LowLevelParticleFilters.jl
State estimation, smoothing and parameter estimation using Kalman and particle filters.
particle-filter kalman-filter estimation state-estimation control-systems dynamical-systems sequential-monte-carlo bayesian-inference system-identification monte-carlo-methods unscented-kalman-filter extended-kalman-filter parameter-estimation prediction-error-method state-estimation-algorithms state-estimation-filters data-assimilation virtual-sensors controls virtual-sensing
Language:Julia 109
zekeriyasari / Causal.jl
Causal.jl - A modeling and simulation framework adopting causal modeling approach.
julia-package simulation-modeling dynamical-systems causal-modelling flow-based-programming
Language:Julia 109
kingaa / pomp
R package for statistical inference using partially observed Markov processes
pomp mathematical-modelling statistical-inference dynamical-systems stochastic-processes state-space markov-model particle-filter likelihood-free likelihood r simulation-modeling time-series abc markov-chain-monte-carlo sequential-monte-carlo sobol-sequence b-spline differential-equations measurement-error
Language:R 105
horchler / SDETools
Matlab Toolbox for the Numerical Solution of Stochastic Differential Equations
stochastic-differential-equations matlab sde numerical-integration simulation stochastic stochastic-processes dynamical-systems noise random
Language:MATLAB 93
PGelss / scikit_tt
Tensor Train Toolbox
tensor-decomposition tensor tensor-train als mals slim-decomposition mandy tensor-network data-driven scikit dynamical-systems dynamic-mode-decomposition extended-dynamic-mode-decomposition dmrg quantum-simulation
Language:Python 90
CADLabs / radCAD
A Python framework for designing, testing, and validating complex systems through modelling and simulation.
cadcad simulation modelling-framework modelling python dynamical-systems
Language:Python 85
MathEXLab / PySPOD
A Python package for spectral proper orthogonal decomposition (SPOD).
spod dynamical-systems data-mining coherent-structures
Language:Jupyter Notebook 85

dynamical-systems

SciML / DifferentialEquations.jl

google-research / torchsde

dynamicslab / pysindy

DiffEqML / torchdyn

patrick-kidger / diffrax

Zymrael / awesome-neural-ode

FRBNY-DSGE / DSGE.jl

JuliaDynamics / DynamicalSystems.jl

pnnl / neuromancer

patrick-kidger / NeuralCDE

JuliaControl / ControlSystems.jl

aristoteleo / dynamo-release

patrick-kidger / torchcde

zwicker-group / py-pde

wilsonrljr / sysidentpy

jonniedie / ComponentArrays.jl

jacobjinkelly / easy-neural-ode

JuliaDynamics / NonlinearDynamicsTextbook

JuliaDynamics / ChaosTools.jl

JuliaReach / ReachabilityAnalysis.jl

Zymrael / gde

JuliaDynamics / InteractiveDynamics.jl

petercorke / bdsim

springer-math / dynamical-systems-with-applications-using-python

wanxinjin / Pontryagin-Differentiable-Programming

robertobucher / pysimCoder

baggepinnen / ControlSystemIdentification.jl

peterkrull / quad

auto-07p / auto-07p

baggepinnen / LowLevelParticleFilters.jl

zekeriyasari / Causal.jl

kingaa / pomp

horchler / SDETools

PGelss / scikit_tt

CADLabs / radCAD

MathEXLab / PySPOD