A study of conservation laws of dynamical systems by means of the differential variational principles of Jourdain and Gauss | Zendy

B. Vujanović | Zendy

Open Access

A study of conservation laws of dynamical systems by means of the differential variational principles of Jourdain and Gauss

Author(s) -

B. Vujanović

Publication year - 1987

Publication title -

acta mechanica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.69

H-Index - 74

eISSN - 1619-6937

pISSN - 0001-5970

DOI - 10.1007/bf01176873

Subject(s) - gauss , conservation law , mathematics , dynamical systems theory , holonomic constraints , variational principle , differential (mechanical device) , holonomic , variational integrator , solid mechanics , integrating factor , differential equation , ordinary differential equation , classical mechanics , mathematical analysis , physics , differential algebraic equation , quantum mechanics , voltage , integrator , thermodynamics

International audienceIn this report we consider the possibility of using the differential variational principles of Jourdain and Gauss as a starting point for the study of conservation laws of holonomic conservative and nonconservative dynamical systems with a finite number of degrees of freedom. We demonstrate that this approach has the same status as the method based on the D'Alembert's differential variational principle developed in a previous paper

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