GEOMETRIC ASPECTS OF CLASSICAL NONHOLONOMIC, SCLERONOMIC MECHANICAL SYSTEMS

  • VALER NIMINEŢ
    Department of Mathematics and Informatics, Faculty of Sciences, “Vasile Alecsandri” University of Bacău, Spiru Haret 8, 600114 Bacău, ROMANIA
    valern@ub.ro
  • VICTOR BLĂNUŢĂ
    Department of Mathematics and Informatics, Faculty of Sciences, “Vasile Alecsandri” University of Bacău, Spiru Haret 8, 600114 Bacău, ROMANIA
    vblanuta@ub.ro

Abstract

A classical nonholonomic, scleronomic mechanical system Σ(1.1) is considered, whose the evolution equations are (2.6.). We associate to system Σ a canonical semispray S* on the phases space TM and we use the differential geometry of Lagrange spaces to study the systems Σ.

Cuvinte cheie

classical nonholonomic mechanical systems semispray canonical nonlinear connection