Li Ziping, Jing Jian. On the Invalidity of Dirac's Conjecture for A System with Singular Higher-order Lagrangian[J]. Journal of Beijing University of Technology, 1998, 24(2): 7-11.
    Citation: Li Ziping, Jing Jian. On the Invalidity of Dirac's Conjecture for A System with Singular Higher-order Lagrangian[J]. Journal of Beijing University of Technology, 1998, 24(2): 7-11.

    On the Invalidity of Dirac's Conjecture for A System with Singular Higher-order Lagrangian

    • Based on the canonical Noether's theorem and Poincarè-Cartan integral invariant for a system with singular higher-order Lagrangian, we present a counterexample with 3-order derivatives in which there is no linearization of constraints for such system to show that Dirac's conjecture is invalid.
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