  A canonical Hamiltonian is found for a reduced version of the Jackiw-Pi model
for bilayer graphene. From the corresponding Lagrangian, the Noether point
symmetries and conserved quantities are determined. The Noether symmetry group
is the same as the fifth-dimensional group for the time-dependent harmonic
oscillator. The realization of the algebra is achieved in terms of just one
particular solution $g_1$ of the time-dependent harmonic oscillator equation
underlying the reduced Jackiw-Pi model. Some numerical solutions are worked
out.
