Higher-order Hamilton dynamics and Hamilton–Jacobi divergence PDE

https://doi.org/10.1016/j.camwa.2017.09.033Get rights and content
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Abstract

This paper, using a non-standard Legendrian duality, investigates the Hamiltonian dynamics and formulates a Hamilton–Jacobi type divergence PDE governed by higher-order Lagrangians.

Keywords

Higher-order Lagrangian
Hamilton dynamics
Legendrian duality
Hamilton–Jacobi divergence PDE

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