Ehresmann connection in the geometry of nonholonomic systems | Zendy

Aleksandar Baksa | Zendy

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Ehresmann connection in the geometry of nonholonomic systems

Author(s) -

Aleksandar Baksa

Publication year - 2012

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim1205019b

Subject(s) - nonholonomic system , connection (principal bundle) , affine transformation , torsion (gastropod) , mathematics , motion (physics) , geometry , computer science , computer vision , artificial intelligence , robot , mobile robot , medicine , surgery

This article deals with a dynamic system whose motion is constrained by nonholonomic, reonomic, affine constraints. The article analyses the geometrical properties of the “reactions" of nonholonomic constraints in Voronets’s equations of motion. The analysis shows their link with the torsion of the Ehresmann connection, which is defined by the nonholonomic constraints.

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