Acta Physica Academiae Scientiarum Hungaricae

, Volume 42, Issue 3, pp 251–260 | Cite as

Analogy between dynamics and statics related to variational mechanics

  • P. Horváthy
  • L. Úry


Using modern differential geometry we complete the classical analogy between dynamics and statics in mechanics. For every mechanical system satisfying Maxwell’s Principle a local variational principle is valid which in some cases can be extended to a global one. If a further regularity condition holds then we can get a Lagrangian function. There exist mechanical systems in Nature which satisfy Maxwell’s Principle but do not have a global variational formalism: such an example is the case of a polarized particle or a particle with spin.


Lagrangian Function Local Group Directional Derivative Evolution Curve Local Solvability 
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Copyright information

© with the authors 1977

Authors and Affiliations

  • P. Horváthy
    • 1
  • L. Úry
    • 2
  1. 1.Institute of Chemical System EngineeringVeszprém University of Chemical EngineeringVeszprém
  2. 2.Department of MathematicsLorand Eötvös UniversityBudapest

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