A canonical Hamiltonian is found for a reduced version of the Jackiw-Pi model bilayer graphene. From corresponding Lagrangian, Noether point symmetries and conserved quantities are determined. The symmetry group same as fifth-dimensional time-dependent harmonic oscillator. realization algebra achieved in terms just one particular solution g1 oscillator equation underlying model. Some numerical ...

In this work, a cosmological model is considered having two scalar fields minimally coupled to gravity with mixed kinetic term. The characterized by the coupling function and potential which are assumed depend on one of fields. Instead choosing these functions phenomenologically here, they evaluated assuming existence Noether symmetry. By appropriate choice point transformation in augmented spa...

In this article, the problems of fractional calculus variations are discussed based on generalized operators, and corresponding Lagrange equations established. Then, Noether symmetry method perturbation to analyzed in order find integrals equations. As a result, conserved quantities adiabatic invariants obtained. Due universality results achieved here can be used solve other specific problems. ...