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First integrals of Hamiltonian systems: The inverse problem

  • * Corresponding author: Fazal M Mahomed

    * Corresponding author: Fazal M Mahomed 
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  • There has, to date, been much focus on when a Hamiltonian operator or symmetry results in a first integral for Hamiltonian systems. Very little emphasis has been given to the inverse problem, viz. which operator arises from a first integral of a Hamiltonian system. In this note, we consider this problem with examples mainly taken from economic growth theory. We also provide an example from classical mechanics.

    Mathematics Subject Classification: 37N40, 76M60, 37K05.


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