TY - JOUR
T1 - Driving trajectories to a desirable attractor by using small control
AU - Lai, Ying Cheng
N1 - Funding Information:
This work was supportedb y AFOSR under grant no. F49620-96-1-0066.T his work was also supported by the General Research Fund at the University of Kansas and by the Kansas Institute for Theoreticala nd Computational Science through the NSF/K*STAR EPSCoR Program.
PY - 1996/10/14
Y1 - 1996/10/14
N2 - Driving trajectories to a desirable attractor for dynamical systems with multiple coexisting attractors has been a challenging problem in the field of chaos control. We develop an algorithm to steer most trajectories to the desirable attractor by using only small feedback control. The idea is to build a hierarchy of paths to the desirable attractor and then stabilize trajectories around one of the paths in the hierarchy. A substantial improvement in the probability for a random trajectory to asymptote to the desirable attractor has been achieved when there are fractal basin boundaries in the phase space.
AB - Driving trajectories to a desirable attractor for dynamical systems with multiple coexisting attractors has been a challenging problem in the field of chaos control. We develop an algorithm to steer most trajectories to the desirable attractor by using only small feedback control. The idea is to build a hierarchy of paths to the desirable attractor and then stabilize trajectories around one of the paths in the hierarchy. A substantial improvement in the probability for a random trajectory to asymptote to the desirable attractor has been achieved when there are fractal basin boundaries in the phase space.
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U2 - 10.1016/0375-9601(96)00609-3
DO - 10.1016/0375-9601(96)00609-3
M3 - Article
AN - SCOPUS:0000806907
SN - 0375-9601
VL - 221
SP - 375
EP - 383
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 6
ER -