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  • A general mathematical theory covering higher-order mechanical systems subject to constraints of arbitrary order is presented, including higher-order holonomic systems as a particular case. Within differential geometric setting on higher-order jet bundles, the concept of a mechanical system is introduced to be a class of 2-forms equivalent with a dynamical form. Dynamics are then represented by means of corresponding exterior differential systems. Higher-order constraint structure on a fibered manifoldis defined to be a submanifold endowed with a distribution (canonical distribution, higher-order Chetaev bundle). With help of a constraint structure a constraint force is naturally introduced. Higher-order mechanical systems subject to different kinds of higher-order constraints are then geometrically characterized and their dynamics are studied from a geometrical point of view. Regular and Lagrangian systems appear as important particular cases within the general scheme.
  • A general mathematical theory covering higher-order mechanical systems subject to constraints of arbitrary order is presented, including higher-order holonomic systems as a particular case. Within differential geometric setting on higher-order jet bundles, the concept of a mechanical system is introduced to be a class of 2-forms equivalent with a dynamical form. Dynamics are then represented by means of corresponding exterior differential systems. Higher-order constraint structure on a fibered manifoldis defined to be a submanifold endowed with a distribution (canonical distribution, higher-order Chetaev bundle). With help of a constraint structure a constraint force is naturally introduced. Higher-order mechanical systems subject to different kinds of higher-order constraints are then geometrically characterized and their dynamics are studied from a geometrical point of view. Regular and Lagrangian systems appear as important particular cases within the general scheme. (en)
Title
  • Higher-order mechanical systems with constraints
  • Higher-order mechanical systems with constraints (en)
skos:prefLabel
  • Higher-order mechanical systems with constraints
  • Higher-order mechanical systems with constraints (en)
skos:notation
  • RIV/47813059:19610/00:00000042!RIV/2001/MSM/196101/N
http://linked.open.../vavai/riv/strany
  • 5304
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM 192400002)
http://linked.open...iv/cisloPeriodika
  • 8
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
  • Krupková, Olga
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 712420
http://linked.open...ai/riv/idVysledku
  • RIV/47813059:19610/00:00000042
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Higher-order mechanical system; Lagrangian system; higher-order constraint; non-holonomic; semiholon (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [7B1FA6B4304A]
http://linked.open...i/riv/nazevZdroje
  • Journal of Mathematical Physics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 41
http://linked.open...iv/tvurceVysledku
  • Krupková, Olga
http://linked.open...n/vavai/riv/zamer
issn
  • 0022-2488
number of pages
http://localhost/t...ganizacniJednotka
  • 19610
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