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SUMMARY

Simulation framework for nonsmooth dynamical systems

README.md

Siconos

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A software package for the modeling and simulation of nonsmooth dynamical systems in C++ and Python.

📚 Examples and Tutorials: Most examples and tutorials are in the separate siconos-tutorials repository. Please ensure you use consistent versions of siconos and siconos-tutorials (e.g., both main branch or both same release version).

Homepage |
Documentation |
Tutorials |
GitLab


What is Siconos?

Siconos is an open-source scientific software package designed for modeling and simulating nonsmooth dynamical systems - systems where the dynamics are not continuous due to phenomena like impacts, friction, switches, or constraints.

Key Application Areas

Domain Examples
Mechanical Systems Rigid body dynamics with contact and friction, multibody systems, granular materials
Electrical Circuits Power converters, rectifiers, PLLs, ADCs with ideal components
Control Systems Sliding mode control, hybrid systems
Biology Gene regulatory networks
Optimization Complementarity systems, variational inequalities

Quick Start

Option 1: Try Online (No Installation)

Run Siconos directly in your browser via Binder:

Binder

Best for: Testing the software, tutorials, lightweight demos

Option 2: Docker (Recommended for Development)

Prerequisite: Docker

# Jupyter Lab with Siconos and tutorials
docker run --rm -p 8888:8888 -ti \
  gricad-registry.univ-grenoble-alpes.fr/nonsmooth/siconos-tutorials/siconoslab-main:latest

# Or command-line only
docker run --rm --entrypoint /bin/bash -ti \
  gricad-registry.univ-grenoble-alpes.fr/nonsmooth/siconos-tutorials/siconoslab-main:latest

Option 3: Build from Source

# Clone the repository
git clone https://github.com/siconos/siconos.git
cd siconos

# Configure and build
cmake -S . -B build -DUSER_OPTIONS_FILE=config_samples/default.cmake
cmake --build build -j$(nproc)

# Run tests (optional)
ctest --test-dir build

# Install
cmake --install build

📖 Detailed installation guide


Main Components

Each component can be used from C/C++ or Python.

siconos/numerics (C)

Low-level numerical algorithms for solving optimization problems:

  • Complementarity problems: LCP, MLCP, NCP
  • Friction-contact problems: 2D/3D with Coulomb friction, rolling friction
  • Variational inequalities: AVI, VI
  • Second-order cone programming (SOCP)
  • Relay problems

📖 Numerics documentation

siconos/kernel (C++)

Core library for modeling and simulation:

  • Dynamical systems: Lagrangian, Newton-Euler, first-order formulations
  • Numerical integration: Event-driven and time-stepping schemes
  • Nonsmooth laws: Impact, friction, complementarity, relay

siconos/mechanics (C++)

Mechanical simulation with contact detection:

siconos/control (C++)

Control systems with sliding mode control and implicit discretization.

siconos/io (C++)

Serialization and visualization:

  • HDF5 import/export
  • VTK visualization

Examples by Domain

The siconos-tutorials repository contains comprehensive examples for each application area:

Domain Example Topics Link
Mechanics Bouncing ball, slider-crank, gear transmission, robotics, granular materials Mechanics Tutorials
Electronics Power converters, rectifiers, PLLs, circuit simulation Electronics Tutorials
Control Sliding mode control, state observers, hybrid systems Control Tutorials
Numerics LCP solvers, friction contact, optimization problems Numerics Tutorials

📁 Browse all examples: siconos-tutorials repository


Example: Bouncing Ball

import siconos.modeling as sm
import siconos.simulation as ss
import numpy as np

# Parameters
t0, T, h = 0, 10, 0.005    # Time settings
r, g, m = 0.1, 9.81, 1      # Ball properties
e = 0.9                     # Restitution coefficient

# Create dynamical system (ball)
position = [1, 0, 0]
velocity = [0, 0, 0]
mass = np.eye(3) * m
mass[2, 2] = 2./5 * r * r

ball = sm.LagrangianLinearTIDS(position, velocity, mass)
ball.set_constant_fext(np.array([-m * g, 0, 0]))

# Interaction with floor
nslaw = sm.NewtonImpactNSL(e)
relation = sm.LagrangianLinearTIR(np.array([[1, 0, 0]]))
interaction = sm.Interaction(nslaw, relation)

# Model
model = sm.NonSmoothDynamicalSystem(t0, T)
model.insert_dynamical_system(ball)
model.link(interaction, ball)

# Simulation
osi = ss.MoreauJeanOSI(0.5)
td = ss.TimeDiscretisation(t0, h)
osnspb = ss.LCP()
sim = ss.TimeStepping(model, td, osi, osnspb)

# Run simulation
while sim.has_next_event():
    sim.compute_one_step()
    sim.next_step()

Documentation & Resources

Resource Link
User Guide https://nonsmooth.gricad-pages.univ-grenoble-alpes.fr/siconos
Tutorials https://nonsmooth.gricad-pages.univ-grenoble-alpes.fr/siconos-tutorials
API Reference (Doxygen) https://nonsmooth.gricad-pages.univ-grenoble-alpes.fr/siconos/doxygen
Bug Reports GitHub Issues

Citation

If you use Siconos in your research, please cite:

@software{siconos,
  title = {Siconos: A Software Package for Modeling and Simulation of Nonsmooth Dynamical Systems},
  author = {{Siconos Team}},
  url = {http://siconos.org},
  year = {2024}
}

License

Siconos is distributed under the Apache License, Version 2.0.


Maintained by: The Siconos Development Team
Contact: GitHub Issues

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