Control of Unstable Periodic Orbit by Means of Projective Operator Method
LIU Zong-hua1, CHEN Shi-gang2
1Graduate School, China Academy of Engineering Physics, Beijing 100088, and Department of Physics, Guangxi University, Nanning 530004
2Institute of Applied Physics and Computational Mathematics, Beijing 100088
Control of Unstable Periodic Orbit by Means of Projective Operator Method
LIU Zong-hua1;CHEN Shi-gang2
1Graduate School, China Academy of Engineering Physics, Beijing 100088, and Department of Physics, Guangxi University, Nanning 530004
2Institute of Applied Physics and Computational Mathematics, Beijing 100088
Abstract： We define the projective operators for controlling unstable periodic orbit(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 direction are changed to negative ones by adjusting the controlling parameter. So the control of UPO can be implemented. It is also shown that the procedure is effective even in the presence of noise.
LIU Zong-hua;CHEN Shi-gang. Control of Unstable Periodic Orbit by Means of Projective Operator Method[J]. 中国物理快报, 1997, 14(7): 499-502.
LIU Zong-hua, CHEN Shi-gang. Control of Unstable Periodic Orbit by Means of Projective Operator Method. Chin. Phys. Lett., 1997, 14(7): 499-502.
1997, Vol. 14 
