The geometric approach to the study of the Herglotz problem developed in Massa and Pagani [J. Math. Phys. 64, 102902 (2023)] is extended to the case in which the evolution of the system is subject to a set of non-holonomic constraints. The original setup is suitably adapted to the case in study. Various aspects of the problem are considered: the direct derivation of the evolution equations; the super-lagrangian approach; the resulting super-Hamiltonian and its relation with Pontryagin’s maximum principle; the abnormality index of the extremals; the invariance properties of the theory and the consequent existence of Herglotz Lagrangians gauge equivalent to ordinary ones.

The non-holonomic Herglotz variational problem / Massa, Enrico; Pagani, Enrico. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 1089-7658. - ELETTRONICO. - 2024, 65:3(2024), pp. 3290101-3290116. [10.1063/5.0181319]

The non-holonomic Herglotz variational problem

Pagani, Enrico
2024-01-01

Abstract

The geometric approach to the study of the Herglotz problem developed in Massa and Pagani [J. Math. Phys. 64, 102902 (2023)] is extended to the case in which the evolution of the system is subject to a set of non-holonomic constraints. The original setup is suitably adapted to the case in study. Various aspects of the problem are considered: the direct derivation of the evolution equations; the super-lagrangian approach; the resulting super-Hamiltonian and its relation with Pontryagin’s maximum principle; the abnormality index of the extremals; the invariance properties of the theory and the consequent existence of Herglotz Lagrangians gauge equivalent to ordinary ones.
2024
3
Massa, Enrico; Pagani, Enrico
The non-holonomic Herglotz variational problem / Massa, Enrico; Pagani, Enrico. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 1089-7658. - ELETTRONICO. - 2024, 65:3(2024), pp. 3290101-3290116. [10.1063/5.0181319]
File in questo prodotto:
File Dimensione Formato  
Massa - Pagani - The non-holonomic Herglotz problem - 032901_1_5.0181319.pdf

embargo fino al 28/03/2025

Tipologia: Versione editoriale (Publisher’s layout)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 4.34 MB
Formato Adobe PDF
4.34 MB Adobe PDF   Visualizza/Apri
Massa - Pagani -Herglotz_anolonomo copy.pdf

Solo gestori archivio

Tipologia: Pre-print non referato (Non-refereed preprint)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 410.19 kB
Formato Adobe PDF
410.19 kB Adobe PDF   Visualizza/Apri
2024-03-28 - Massa - Pagani - The non holonomic Herglotz problem - JMP23-AR-01686-1 (1).pdf

accesso aperto

Tipologia: Post-print referato (Refereed author’s manuscript)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 490.14 kB
Formato Adobe PDF
490.14 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/406115
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact