ON THE FINSLERIAN MECHANICAL SYSTEMS
2012jcq | Miron Radu  // University Transilvania of Brasov, Brasov, Romania

The notion of Finslerian Mechanical Systems was been introduced by author as a triple Sum F = (M, EF, Fe) formed by configuration space M, kinetic energy EF of a semidefinite Finsler space Fn=(M,F) and the external forces Fe. Fundamental equations of Sum F are the Lagrange equations. One determines the canonical semispray S and proves that the integral curves of S are the evolution curves of Sum F. Thus, the geometrical theory of the Finslerian mechanical systems Sum F can be studied by means of dynamical systems S on the velocity space TM.

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