TRUNCATING EXPANSIONS IN BIORTHOGONAL BASES - WHAT IS PRESERVED

In this work, we test the survival of topological information of an at tractor under the truncations of a bi-orthogonal decomposition. We gen erate synthetic patterns which evolve dynamically in a desired way, an d investigate the number of modes which should be kept in a truncation in order to be able to recover the information which we provided to t he system. We show that a premature truncation of this kind of decompo sition, based on existing energy criteria, leads to orbits that do not preserve the topological properties of the original signal. (C) 1997 Elsevier Science B.V.