Chaotic behavior of the electrons in graphene superlattice

d'Alembert equation written for the electromagnetic waves propagating in the graphene superlattice is discussed. The chaotic behavior of the electrons in graphene superlattice is investigated by Melnikov method and by the method of Lyapunov exponents. Dynamic chaos of electron in graphene superlattice is shown to appear for certain intervals of amplitudes of preset alternate current.