CONTROL OF UNSTABLE PERIODIC ORBIT BY MEANS OF PROJECTIVE OPERATOR METHOD

Authors
LIU ZH CHEN SG
Citation
Zh. Liu et Sg. Chen, CONTROL OF UNSTABLE PERIODIC ORBIT BY MEANS OF PROJECTIVE OPERATOR METHOD, Chinese Physics Letters, 14(7), 1997, pp. 499-502
Citations number
9
Categorie Soggetti
Physics
Journal title
Chinese Physics Letters → ACNP
ISSN journal
0256307X
Volume
14
Issue
7
Year of publication
1997
Pages
499 - 502
Database
ISI
SICI code
0256-307X(1997)14:7<499:COUPOB>2.0.ZU;2-M
Abstract
We define the projective operators for controlling unstable periodic o rbit(UPO), and project the eigenvectors of Jacobian matrix of a system in the direction of trajectory and in the direction perpendicular to the trajectory. Then the two eigenvalues in the perpendicular directio n are changed to negative ones by adjusting the controlling parameter. So the control of UPO can be implemented. It is also down that the pr ocedure is effective even in the presence of noise.