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
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
Abstract:A method is used to stabilize the unstable discrete system: two-dimensional discrete Lorenz system and three-dimensional discrete Rössler system.
[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