DYNAMIC PROPERTY OF THE HOMEOMORPHISMS OF A PLANE IN THE NEIGHBORHOODOF A FIXED-POINT WITH AN INDEX GREATER-THAN ONE

We prove that every orientation preserving homeomorphism f of the plan e defined locally around an isolated Bred point of Lefschetz index str ictly larger than 1 has a positively or negatively wandering domain in this neighbourhood. Such a situation cannot occur when f is area pres erving and the index must be smaller or equal to 1. (C) 1998 Elsevier Science Ltd. All rights reserved.