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Remarks on structures and preservation in forced discrete mechanical systems of Routh type.

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Title: Remarks on structures and preservation in forced discrete mechanical systems of Routh type.
Authors: Caruso, Matías I.1,2 (AUTHOR) matias.caruso@ib.edu.ar, Fernández, Javier1 (AUTHOR) jfernand@ib.edu.ar, Tori, Cora3,4 (AUTHOR) cora.tori@ing.unlp.edu.ar, Zuccalli, Marcela4,5 (AUTHOR) marce@mate.unlp.edu.ar
Source: Journal of Geometry & Physics. May2026, Vol. 223, pN.PAG-N.PAG. 1p.
Subjects: Symplectic geometry, Isotropy subgroups, Symplectic manifolds, Mathematical transformations
Abstract: We study a type of forced discrete mechanical system (Q , L d , f d) —that we name of Routh type— whose (discrete) time-flow preserves a symplectic structure on Q × Q. That structure arises as the pullback via the forced discrete Legendre transform of the canonical symplectic structure on T ⁎ Q modified by a "magnetic term". One example of this type of system is provided by the Lagrangian reduction of a symmetric (unforced) discrete mechanical system in the Routh style. In this particular case, we do not reduce by the full symmetry group but, rather, by an appropriate isotropy subgroup. In this context, the preserved symplectic structure can be alternatively seen as the Marsden-Weinstein reduction of the canonical symplectic structure ω L d on Q × Q. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Geometry & Physics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 191819391
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  Data: Remarks on structures and preservation in forced discrete mechanical systems of Routh type.
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  Data: We study a type of forced discrete mechanical system (Q , L d , f d) —that we name of Routh type— whose (discrete) time-flow preserves a symplectic structure on Q × Q. That structure arises as the pullback via the forced discrete Legendre transform of the canonical symplectic structure on T ⁎ Q modified by a "magnetic term". One example of this type of system is provided by the Lagrangian reduction of a symmetric (unforced) discrete mechanical system in the Routh style. In this particular case, we do not reduce by the full symmetry group but, rather, by an appropriate isotropy subgroup. In this context, the preserved symplectic structure can be alternatively seen as the Marsden-Weinstein reduction of the canonical symplectic structure ω L d on Q × Q. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Geometry & Physics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.geomphys.2026.105776
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      – Code: eng
        Text: English
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        StartPage: N.PAG
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      – SubjectFull: Symplectic geometry
        Type: general
      – SubjectFull: Isotropy subgroups
        Type: general
      – SubjectFull: Symplectic manifolds
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      – SubjectFull: Mathematical transformations
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      – TitleFull: Remarks on structures and preservation in forced discrete mechanical systems of Routh type.
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            – D: 01
              M: 05
              Text: May2026
              Type: published
              Y: 2026
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