The center manifold theorem for a discrete system

Abstract

In this paper we give a new proof of the center manifold teorem for a system of difference equations. Our result is an analogue of the known classical results for systems of differential equations. For the existence of the center manifold we use the method of contracting maping rinciple.

Keywords:

• Difference equation
• existence theorem
• contraction principle
• invariant manifold
• center manifold

AMS:

• 39A10