TY - JOUR
T1 - A multi-dimensional scheme for controlling unstable periodic orbits in chaotic systems
AU - Chakravarthy, Niranjan
AU - Tsakalis, Konstantinos
AU - Iasemidis, Leon D.
AU - Spanias, Andreas
PY - 2006/1/9
Y1 - 2006/1/9
N2 - The control of unstable periodic orbits (UPOs) in chaotic systems is herein investigated by applying a weighted sum of external periodic inputs. These inputs are drawn from a "generic" set of basis functions and used to stabilize different UPOs in a chaotic attractor. All parameters associated with this multi-dimensional control scheme are experimentally computed without a priori knowledge of the system, thus making it easily applicable to a wide variety of dynamical systems. The performance of this control scheme is illustrated with several well-established chaotic systems.
AB - The control of unstable periodic orbits (UPOs) in chaotic systems is herein investigated by applying a weighted sum of external periodic inputs. These inputs are drawn from a "generic" set of basis functions and used to stabilize different UPOs in a chaotic attractor. All parameters associated with this multi-dimensional control scheme are experimentally computed without a priori knowledge of the system, thus making it easily applicable to a wide variety of dynamical systems. The performance of this control scheme is illustrated with several well-established chaotic systems.
KW - Chaos
KW - Multi-dimensional control
KW - Unstable periodic orbit
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U2 - 10.1016/j.physleta.2005.08.087
DO - 10.1016/j.physleta.2005.08.087
M3 - Article
AN - SCOPUS:29544439661
SN - 0375-9601
VL - 349
SP - 116
EP - 127
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 1-4
ER -