In this paper, a systematic design approach based on time-delay feedback is
developed for anticontrol of chaos in a continuous-time system. This antic
ontrol method can drive a finite-dimensional, continuous-time, autonomous s
ystem from nonchaotic to chaotic, and can also enhance the existing chaos o
f an originally chaotic system. Asymptotic analysis is used to establish an
approximate relationship between a time-delay differential equation and a
discrete map. Anticontrol of chaos is then accomplished based on this relat
ionship and the differential-geometry control theory. Several examples are
given to verify the effectiveness of the methodology and to illustrate the
systematic design procedure. (C) 2000 American Institute of Physics. [S1054
-1500(00)00904-6].