- IOP PUBLISHING LTD
A new singular perturbation method based on the Lie symmetry group is presented to a system of difference equations. This method yields consistent derivation of a renormalization group equation which gives an asymptotic solution of the difference equation. The renormalization group equation is a Lie differential equation of a Lie group which leaves the system approximately invariant. For a 2D symplectic map, the renormalization group equation becomes a Hamiltonian system and a long-time behaviour of the symplectic map is described by the Hamiltonian. We study the Poincare-Birkoff bifurcation in the 2D symplectic map by means of the Hamiltonian and give a condition for the bifurcation.
Web of Science ® 被引用回数 : 3
Web of Science ® の 関連論文(Related Records®)ビュー