CENTER MANIFOLD APPROACH TO CONTROLLING CHAOS

Existing methods of controlling chaos can be generalized using ideas o f center manifold theory. This approach extends the existing linear th eory into the nonlinear regime, thus enlarging the range in phase spac e where control is possible. At the same time, sensitivity of the stab ilized system against noise is reduced. In addition, this procedure le ads to nonlinear time delay feedback rules in a constructive way. (C) 1997 Elsevier Science B.V.