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nonsmoothdynamics.jl

Numerical methods for nonsmooth dynamics

https://github.com/tmigot/nonsmoothdynamics.jl

Science Score: 54.0%

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    Low similarity (14.2%) to scientific vocabulary
Last synced: 6 months ago · JSON representation ·

Repository

Numerical methods for nonsmooth dynamics

Basic Info
  • Host: GitHub
  • Owner: tmigot
  • License: mit
  • Language: Julia
  • Default Branch: main
  • Size: 472 KB
Statistics
  • Stars: 2
  • Watchers: 1
  • Forks: 0
  • Open Issues: 10
  • Releases: 0
Created about 1 year ago · Last pushed 6 months ago
Metadata Files
Readme License Code of conduct Citation

README.md

NonSmoothDynamics

Stable Documentation In development documentation Build Status Test workflow status Lint workflow Status Docs workflow Status Coverage DOI Contributor Covenant All Contributors BestieTemplate

Projected Dynamical Systems (PDS)

Projected Dynamical Systems (PDS) extend classical dynamical systems by incorporating constraints that keep the system's state within a feasible set. The evolution of the system is described by:

Alt

where:

  • x(t) is the state of the system at time t,
  • F(x) is a vector field representing the dynamics (e.g., gradient, payoff vector),
  • P_{T_C} is the projection operator ensuring that x(t) remains in the feasible set C.

PDS is widely used in optimization, equilibrium modeling, and game theory to describe systems evolving under constraints. Applications include traffic flow, economic equilibria, and constrained optimization problems.

PDS are also highly connected with another nonsmooth dynamical system, the Moreau sweeping process.

This repository provides tools to simulate PDS, including discretized solutions and visualization of trajectories.

How to Cite

If you use NonSmoothDynamics.jl in your work, please cite using the reference given in CITATION.cff.

Contributing

If you want to make contributions of any kind, please first that a look into our contributing guide directly on GitHub or the contributing page on the website

Contributors

Tangi Migot
Tangi Migot
🚇 ⚠️ 💻

Owner

  • Login: tmigot
  • Kind: user
  • Location: Montréal

Citation (CITATION.cff) 

# Go to https://citation-file-format.github.io/cff-initializer-javascript/#/ to finish this
cff-version: 1.2.0
title: NonSmoothDynamics.jl
message: >-
  If you use this software, please cite it using the
  metadata from this file.
type: software
authors:
  - given-names: Tangi Migot
    email: tangi.migot@gmail.com

GitHub Events

Total
  • Issues event: 7
  • Watch event: 2
  • Delete event: 20
  • Issue comment event: 6
  • Public event: 1
  • Push event: 22
  • Pull request review event: 4
  • Pull request event: 25
  • Create event: 13
Last Year
  • Issues event: 7
  • Watch event: 2
  • Delete event: 20
  • Issue comment event: 6
  • Public event: 1
  • Push event: 22
  • Pull request review event: 4
  • Pull request event: 25
  • Create event: 13

Issues and Pull Requests

Last synced: 6 months ago

All Time
  • Total issues: 8
  • Total pull requests: 24
  • Average time to close issues: N/A
  • Average time to close pull requests: 1 day
  • Total issue authors: 2
  • Total pull request authors: 4
  • Average comments per issue: 0.0
  • Average comments per pull request: 0.21
  • Merged pull requests: 20
  • Bot issues: 1
  • Bot pull requests: 15
Past Year
  • Issues: 8
  • Pull requests: 24
  • Average time to close issues: N/A
  • Average time to close pull requests: 1 day
  • Issue authors: 2
  • Pull request authors: 4
  • Average comments per issue: 0.0
  • Average comments per pull request: 0.21
  • Merged pull requests: 20
  • Bot issues: 1
  • Bot pull requests: 15
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Top Authors
Issue Authors
  • tmigot (7)
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  • github-actions[bot] (10)
  • tmigot (9)
  • allcontributors[bot] (2)
  • dependabot[bot] (2)
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Dependencies

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