TY - JOUR
T1 - Anticontrol of chaos in continuous-time systems via time-delay feedback
AU - Wang, Xiao Fan
AU - Chen, Guanrong
AU - Yu, Xinghuo
PY - 2000/12
Y1 - 2000/12
N2 - In this paper, a systematic design approach based on time-delay feedback is developed for anticontrol of chaos in a continuous-time system. This anticontrol method can drive a finite-dimensional, continuous-time, autonomous system from nonchaotic to chaotic, and can also enhance the existing chaos of 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 relationship and the differential-geometry control theory. Several examples are given to verify the effectiveness of the methodology and to illustrate the systematic design procedure. © 2000 American Institute of Physics.
AB - In this paper, a systematic design approach based on time-delay feedback is developed for anticontrol of chaos in a continuous-time system. This anticontrol method can drive a finite-dimensional, continuous-time, autonomous system from nonchaotic to chaotic, and can also enhance the existing chaos of 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 relationship and the differential-geometry control theory. Several examples are given to verify the effectiveness of the methodology and to illustrate the systematic design procedure. © 2000 American Institute of Physics.
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U2 - 10.1063/1.1322358
DO - 10.1063/1.1322358
M3 - RGC 21 - Publication in refereed journal
SN - 1054-1500
VL - 10
SP - 771
EP - 779
JO - Chaos
JF - Chaos
IS - 4
ER -