One Specific State Variable for a Class of Fractional-Order Chaotic Systems and Its Applications
ZHOU Ping1,2, CHENG Yuan-Ming2
1Key Laboratory of Network Control and Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 4000652Institute of Applied Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065
One Specific State Variable for a Class of Fractional-Order Chaotic Systems and Its Applications
ZHOU Ping1,2, CHENG Yuan-Ming2
1Key Laboratory of Network Control and Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 4000652Institute of Applied Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065
摘要We present a specific state variable for a class of fractional-order chaotic systems. By using a specific state variable and its (q-order, 2q-order, ..., and (n-1) q-order) time derivatives, all the state variables can be obtained. Several fractional-order chaotic systems are used to demonstrate this idea. A hybrid projective synchronization scheme is presented to show its applications.
Abstract：We present a specific state variable for a class of fractional-order chaotic systems. By using a specific state variable and its (q-order, 2q-order, ..., and (n-1) q-order) time derivatives, all the state variables can be obtained. Several fractional-order chaotic systems are used to demonstrate this idea. A hybrid projective synchronization scheme is presented to show its applications.
ZHOU Ping;CHENG Yuan-Ming. One Specific State Variable for a Class of Fractional-Order Chaotic Systems and Its Applications[J]. 中国物理快报, 2009, 26(12): 120503-120503.
ZHOU Ping, CHENG Yuan-Ming. One Specific State Variable for a Class of Fractional-Order Chaotic Systems and Its Applications. Chin. Phys. Lett., 2009, 26(12): 120503-120503.
[1] Pecora L M and Carroll T L 1990 Phys. Rev. Lett. 64 821 [2] Miliou A N, Antoniades I P and Stavrinides S G 2007 Nonlinear Anal. 8 1003 [3] Aguirre C, Campos D, Pascual P and Serrano E 2006 Neurocomputing 69 1116 [4] Gross N, Kinzel W, Kanter I, Rosenbluh M and Khaykovich L2006 Opt. Commun. 267 464 [5] Ge Z M and Ou C Y 2007 Chaos Solitons and Fractals 34 262 [6]Li C G and Chen G R 2004 Physica A 341 55 [7] Peng G J and Jiang Y L 2008 Phys. Lett. A 3723963 [8] Chen X R, Liu C X and Li Y X 2008 Acta. Phys. Sin. 57 1453 (in Chinese) [9] Peng G J, Jiang Y L and Chen F 2008 Physica A 387 3738 [10] Shao S Q 2009 Chaos, Solitons and Fractals 391572 [11]Zhong Q S, Bao J F, Yu Y B and Liao X F 2008 Chin.Phys. Lett. 25 2812 [12] Yang X S 1999 Phys. Lett. A 260 340 [13] Caputo M and Geophys J R 1967 Astron. Soc. 13529 [14]Yang X S 2002 Int. J. Bifur. Chaos 12 1159 [15] Wang X Y and He Y J 2008 Phys. Lett. A 372435 [16]Zhou P, Wei L J and Chen X F 2009 Chin. Phys. B 18 2674 [17]Chen X R, Liu C X and Wang F Q 2008 Chin. Phys. B 17 1664 [18] Zhang R X and Yang S P 2009 Chin. Phys. B 183295
2009, Vol. 26 
