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Keywords:
Hamilton extremals; Dedecker–Hamilton extremals; Hamilton equations; Lagrangian; Lepagean equivalents; Poincaré–Cartan form; regular and strongly regular systems
Hamilton extremals; Dedecker–Hamilton extremals; Hamilton equations; Lagrangian; Lepagean equivalents; Poincaré–Cartan form; regular and strongly regular systems
Summary:
This paper is devoted to geometric formulation of the regular (resp. strongly regular) Hamiltonian system. The notion of the regularization of the second order Lagrangians is presented. The regularization procedure is applied to concrete example.
References:
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