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Or will there be?

In Newtonian formalism, we appoint a potential, then write newton's eq. which is equivolent to a initial value problem.

In Lagrangian formalism, we appoint a Lagrangian, then write Lagrangian eq.

In Hamiltonian formalism, we appoint a Hamiltonian, then write Hamilton-Jacobi eq.

Are other reasonable mechanisms that can generate dynamical systems?

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marked as duplicate by Qmechanic lagrangian-formalism Jun 9 '18 at 15:24

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