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A two-dimensional time-delay chaotic system is designed and realized in an electronic circuit based on its dynamical behavior. Then a generalized synchronization chaotic system is designed by linear transformation method. The generalized synchronization condition is obtained by mathematical analysis, and generalized synchronization is realized in an electronic circuit. The results of numerical calculation conform the exactness and validity of theoretical analysis and circuit design.
[1] ［1］Carrol T L, Pecora L M 1991 IEEE Trans. Circ. Sys. 38 453
[2] ［2］Peng J H, Ding E L, Ding M, Wang W 1996 Phys. Rev. Lett. 76 904
[3] ［3］Wang X Y, Meng J 2008 Acta Phys. Sin. 57 726 (in Chinese) ［王兴元、孟娟 2008 57 726］
[4] ［4］Li J F, Li N, Liu Y P, Gan Y 2009 Acta Phys. Sin. 58 779 (in Chinese) ［李建芬、李农、刘宇平、甘轶 2009 58 779］
[5] ［5］Rosenblum M G, Pikovsky A S, Kurths J 1996 Phys. Rev. Lett. 76 1804
[6] ［6］Yang T,Yang L B 1998 Phys. Lett. A 245 495
[7] ［7］Short K M, Parker A T 1998 Phys. Rev. E 58 1159
[8] ［8］Zhang C X, Yu S M 2009 Acta Phys. Sin. 58 120 (in Chinese) ［张朝霞、禹思敏 2009 58 120］
[9] ［9］Luo X H, Li H Q, Dai X G 2008 Acta Phys. Sin. 57 7511 (in Chinese) ［罗小华、李华青、代祥光 2008 57 7511］
[10] ］Yang W M 1994 Spatial Chaos and Coupled Map Lattice (Shanghai: Shanghai Science and Technological Education Press) P12 (in Chinese) ［杨维明 1994 时空混沌和耦合映像格子（上海：上海科技教育出版社） 第12页］
[11] ］Pyragas K 1998 Phys. Rev.E 58 3067
[12] ］Mackey M C, Glass L 1977 Science 197 287
[13] ］Viktor K J, Ding M Z 2004 Phys. Rev. Lett. 93 070602
[14] ］Li C D, Liao X F 2005 Chaos 15 043103
[15] ］Pyragas V, Pyragas K 2006 Phys. Rev.E 73 036215
[16] ］Zhang X M 2004 M.S. Dissertation (Changchun: Northeast Normal University) (in Chinese) ［张晓明 2004 年硕士学位论文(长春：东北师范大学)］
[17] ］Ruan S G, Wei J J 2001 IMA. J. Math. Appl. Medic. Biol. 18 41
[18] ］Tao C H, Lu J A, Lü J H 2002 Acta Phys. Sin. 51 1497(in Chinese) ［陶朝海、陆君安、吕军虎 2002 51 1497 ］
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[1] ［1］Carrol T L, Pecora L M 1991 IEEE Trans. Circ. Sys. 38 453
[2] ［2］Peng J H, Ding E L, Ding M, Wang W 1996 Phys. Rev. Lett. 76 904
[3] ［3］Wang X Y, Meng J 2008 Acta Phys. Sin. 57 726 (in Chinese) ［王兴元、孟娟 2008 57 726］
[4] ［4］Li J F, Li N, Liu Y P, Gan Y 2009 Acta Phys. Sin. 58 779 (in Chinese) ［李建芬、李农、刘宇平、甘轶 2009 58 779］
[5] ［5］Rosenblum M G, Pikovsky A S, Kurths J 1996 Phys. Rev. Lett. 76 1804
[6] ［6］Yang T,Yang L B 1998 Phys. Lett. A 245 495
[7] ［7］Short K M, Parker A T 1998 Phys. Rev. E 58 1159
[8] ［8］Zhang C X, Yu S M 2009 Acta Phys. Sin. 58 120 (in Chinese) ［张朝霞、禹思敏 2009 58 120］
[9] ［9］Luo X H, Li H Q, Dai X G 2008 Acta Phys. Sin. 57 7511 (in Chinese) ［罗小华、李华青、代祥光 2008 57 7511］
[10] ］Yang W M 1994 Spatial Chaos and Coupled Map Lattice (Shanghai: Shanghai Science and Technological Education Press) P12 (in Chinese) ［杨维明 1994 时空混沌和耦合映像格子（上海：上海科技教育出版社） 第12页］
[11] ］Pyragas K 1998 Phys. Rev.E 58 3067
[12] ］Mackey M C, Glass L 1977 Science 197 287
[13] ］Viktor K J, Ding M Z 2004 Phys. Rev. Lett. 93 070602
[14] ］Li C D, Liao X F 2005 Chaos 15 043103
[15] ］Pyragas V, Pyragas K 2006 Phys. Rev.E 73 036215
[16] ］Zhang X M 2004 M.S. Dissertation (Changchun: Northeast Normal University) (in Chinese) ［张晓明 2004 年硕士学位论文(长春：东北师范大学)］
[17] ］Ruan S G, Wei J J 2001 IMA. J. Math. Appl. Medic. Biol. 18 41
[18] ］Tao C H, Lu J A, Lü J H 2002 Acta Phys. Sin. 51 1497(in Chinese) ［陶朝海、陆君安、吕军虎 2002 51 1497 ］
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