Article Contents
Article Contents

# First integrals of Hamiltonian systems: The inverse problem

• * Corresponding author: Fazal M Mahomed
• 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.

 Citation:

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