solver-arcsos-t

To certify existence of a Local Lyapunov Function on Arcs for generalized Kuramoto Models.

https://github.com/swap-tripathi/solver-arcsos-t

Science Score: 44.0%

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Repository

To certify existence of a Local Lyapunov Function on Arcs for generalized Kuramoto Models.

Basic Info
  • Host: GitHub
  • Owner: Swap-Tripathi
  • Language: MATLAB
  • Default Branch: main
  • Size: 12.7 KB
Statistics
  • Stars: 0
  • Watchers: 1
  • Forks: 0
  • Open Issues: 0
  • Releases: 0
Created 10 months ago · Last pushed 7 months ago
Metadata Files
Readme Citation

Readme.txt

To certify existence of a Local Lyapunov Function on Arcs for generalized Kuramoto Models. Add CVX library to the path before executing the main file (driverd2.m).

Owner

  • Name: Swapnil Tripathi
  • Login: Swap-Tripathi
  • Kind: user
  • Location: Istanbul, Turkey

Citation (citation.cff)

# This CITATION.cff file was generated with cffinit.
# Visit https://bit.ly/cffinit to generate yours today!

cff-version: 1.2.0
title: >-
  Software: arcSOS-t-Solver

message: >-
  If you use this software, please cite it using the
  metadata from this file.
type: software
authors:
  - given-names: Swapnil
    family-names: Tripathi
    email: swap_trip@outlook.com
    affiliation: 'Kadir Has University, Istanbul, Turkey'
    orcid: 'https://orcid.org/0000-0002-5726-1813'
  - given-names: Alkım
    orcid: 'https://orcid.org/0000-0002-8131-388X'
    family-names: Gökçen
    affiliation: 'Izmir Katip Celebi University, Izmir, Turkey'
  - given-names: Mahmut
    family-names: Kudeyt
    orcid: 'https://orcid.org/0000-0002-0457-9027'
  - given-names: Ozkan
    family-names: Karabacak
    affiliation: 'Kadir Has University, Istanbul, Turkey'
    orcid: 'https://orcid.org/0000-0002-8350-193X'
  - given-names: Savaş
    family-names: Şahin
    orcid: 'https://orcid.org/0000-0003-2065-6907'
identifiers:
  - type: doi
    value: 10.20944/preprints202409.1361.v1
    description: >-
      Paper on finding Lyapunov Certificates for systems on
      torus.
repository-code: >-
  https://github.com/Swap-Tripathi/Solver-arcSOS-t
abstract: >-
  The repository contains programs to obtain the expression
  of Lyapunov density as per Theorem 4 in an upcoming conference paper
  "Semidefinite Programming Certificates for Synchronization of Kuramoto Oscillators on Arcs" which is part of the preprint.
  (https://www.preprints.org/manuscript/202409.1361/v1).
keywords:
  - Trigonometric polynomials
  - LaSalle and Lyapunov theorem
  - Coupled oscillators
  - local phase synchronization
license: CC-BY-4.0
commit: Original_codes
version: '1.0'
date-released: '2025-05-01'

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