BIFURCATION BEHAVIOR OF THE GENERALIZED LORENZ EQUATIONS AT LARGE ROTATION NUMBERS

The bifurcation structure and periodic orbits of the Lorenz-Stenflo eq uations at large rotation numbers are given. It is shown that rotation can lead to a much richer dynamical behavior than that of the origina l Lorenz system and can be used to control or modify the latter's chao s behavior. Orbits with new topology arising from the merging and spli tting of different periodic windows are observed. Abrupt changes in th e one-dimensional map are pointed out and studied in terms of the inte raction of the interior and exterior boundaries. (C) 1997 American Ins titute of Physics.