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  • The problem of symmetries and conservation laws is a standard part of calculus of variations in mechanics as well as in the field theory. On the other hand, in theories describing constrained systems, especially non-holonomic ones, this problem is not studied satisfactorily. We study symmetries and corresponding conservation laws in non-holonomic first order mechanics (equations of motion are of the second order). Our considerations are based on the Krupková (Rossi) geometrical theory of non-holonomic mechanical systems on fibred manifolds and their jet prolongations. We show that this approach is extremely effective for studying non-holonomic systems. As a realistic example the problem of Chaplygin sleigh is presented.
  • The problem of symmetries and conservation laws is a standard part of calculus of variations in mechanics as well as in the field theory. On the other hand, in theories describing constrained systems, especially non-holonomic ones, this problem is not studied satisfactorily. We study symmetries and corresponding conservation laws in non-holonomic first order mechanics (equations of motion are of the second order). Our considerations are based on the Krupková (Rossi) geometrical theory of non-holonomic mechanical systems on fibred manifolds and their jet prolongations. We show that this approach is extremely effective for studying non-holonomic systems. As a realistic example the problem of Chaplygin sleigh is presented. (en)
Title
  • Dynamics of nonholonomic systems
  • Dynamics of nonholonomic systems (en)
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  • Dynamics of nonholonomic systems
  • Dynamics of nonholonomic systems (en)
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  • RIV/00216224:14310/14:00076366!RIV15-MSM-14310___
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  • RIV/00216224:14310/14:00076366
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  • nonholonomic systems; symmetries; conservation laws (en)
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  • [106335AB6F75]
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  • Musilová, Jana
  • Čech, Michal
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  • 14310
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