Control of unstable periodic orbit by means of projective operator method

Zong Hua Liu; Shi Gang Chen

doi:10.1088/0256-307X/14/7/006

Control of unstable periodic orbit by means of projective operator method

Zong Hua Liu, Shi Gang Chen

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We define the protective 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.

Original language	English
Pages (from-to)	499-502
Number of pages	4
Journal	Chinese Physics Letters
Volume	14
Issue number	7
DOIs	https://doi.org/10.1088/0256-307X/14/7/006
State	Published - 1997
Externally published	Yes

Access to Document

10.1088/0256-307X/14/7/006

Cite this

@article{4983851b6076450096f8ef81668a043c,

title = "Control of unstable periodic orbit by means of projective operator method",

abstract = "We define the protective 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.",

author = "Liu, \{Zong Hua\} and Chen, \{Shi Gang\}",

year = "1997",

doi = "10.1088/0256-307X/14/7/006",

language = "英语",

volume = "14",

pages = "499--502",

journal = "Chinese Physics Letters",

issn = "0256-307X",

publisher = "IOP Publishing Ltd.",

number = "7",

}

TY - JOUR

T1 - Control of unstable periodic orbit by means of projective operator method

AU - Liu, Zong Hua

AU - Chen, Shi Gang

PY - 1997

Y1 - 1997

N2 - We define the protective 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.

AB - We define the protective 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.

UR - https://www.scopus.com/pages/publications/0031323652

U2 - 10.1088/0256-307X/14/7/006

DO - 10.1088/0256-307X/14/7/006

M3 - 文章

AN - SCOPUS:0031323652

SN - 0256-307X

VL - 14

SP - 499

EP - 502

JO - Chinese Physics Letters

JF - Chinese Physics Letters

IS - 7

ER -

Control of unstable periodic orbit by means of projective operator method

Abstract

Access to Document

Other files and links

Fingerprint

Cite this