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?
