GENERAL |
|
|
|
|
Stabilizing of Two-Dimensional Discrete Lorenz Chaotic System and Three-Dimensional Discrete Röossler Hyperchaotic System |
LI Xin1, CHEN Yong2 |
1Department of Mathematics, Changshu Institute of Technology, Changshu 2155002Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062 |
|
Cite this article: |
LI Xin, CHEN Yong 2009 Chin. Phys. Lett. 26 090503 |
|
|
Abstract A method is used to stabilize the unstable discrete system: two-dimensional discrete Lorenz system and three-dimensional discrete Rössler system.
|
Keywords:
05.45.-a
05.45.Xt
05.45.Gg
|
|
Received: 25 March 2009
Published: 28 August 2009
|
|
PACS: |
05.45.-a
|
(Nonlinear dynamics and chaos)
|
|
05.45.Xt
|
(Synchronization; coupled oscillators)
|
|
05.45.Gg
|
(Control of chaos, applications of chaos)
|
|
|
|
|
[1] Ott E, Grebogi C and York J A 1990 Phys. Rev. Lett. 64 1196 [2]Zhou C S and Chen T L 1996 Chin. Phys. Lett. 13 572 [3]Tan W and Wang Y N 2005 Chin. Phys. 14 72 [4]Chen G R and L\"u J H 2003 (Beijing: Science Press) (in Chinese) [5]Peng B, Petro V and Showalter K 1991 J. Phys. Chem. 95 4957 [6]Wang J G and Zhao Y 2005 Chin. Phys. Lett. 22 2508 [7]Pyragas K 1992 Phys. Lett. A 170 421 [8]Abed F H, Wang H O and Chen R C 1994 Physica D 70 154 [9]Mirus K A and Sprott J C 1999 Phys. Rev. E 59 5313 [10]Guo L X, Xu Z Y and Hu M F 2008 Chin. Phys. B 17 4067 [11]Yang L, Liu Z and Mao J 2000 Phys. Rev. Lett. 84 67 [12]Bu S, Wang S and Ye H 2001 Phys. Rev. E 64 046209 [13]Lorenz E N 1963 J. Atmos. Sci. 20 130 [14]R\"ossler O E 1979 Phys. Lett. A 71 397 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|