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