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

UR - http://www.scopus.com/inward/record.url?scp=29544439661&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=29544439661&partnerID=8YFLogxK

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 -