A new approach for obtaining normal forms of non-linear systems

Abstract

In this paper, a modified approach for obtaining normal forms of non-linear dynamical systems is described. This approach provides a number of significant advantages over the existing normal form theory, and improves the associated calculations. A brief discussion concerning the application of the new approach to high-dimensional systems is also presented. To illustrate the new approach, three examples are presented. (C) 1998 Academic Press Limited.