On a Generalisation of Metriplectic Systems

Authors

Jonas Kirchhoff, Bernhard Maschke

Abstract

This note presents a notion of generalised metriplectic systems which includes not necessarily holonomic constraints using methods from port-Hamiltonian systems theory. Metriplectic systems can be written as particular dissipative Hamiltonian systems with the exergy as Hamiltonian. Within the generalised dissipative Hamiltonian systems, a generalisation of metriplectic systems is identified.

Keywords

geometric methods, metriplectic systems, port-hamiltonian systems

Citation

• ISBN: 9783032039200
• Publisher: Springer Nature Switzerland
• DOI: 10.1007/978-3-032-03921-7_25
• Note: International Conference on Geometric Science of Information

BibTeX

@inbook{Kirchhoff_2025,
  title={{On a Generalisation of Metriplectic Systems}},
  ISBN={9783032039217},
  ISSN={1611-3349},
  DOI={10.1007/978-3-032-03921-7_25},
  booktitle={{Geometric Science of Information}},
  publisher={Springer Nature Switzerland},
  author={Kirchhoff, Jonas and Maschke, Bernhard},
  year={2025},
  pages={242--250}
}

Download the bib file

References

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