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In this paper, we suggest an anticipating projective response scheme in coupled dynamical systems, from which a large class of different drive-response systems can be constructed by choosing different functions and changing the scaling factor. A specific case of the scheme, which is named the accelerative anticipating projective response scheme, is studied in detail. In this specific scheme, the amplitudes of the drive and response systems synchronize up to a scaling factor and the response system evolves with a faster speed. Further, the robustness of this scheme is proved under the existence of the small disturbance of the driving term, interference of the driving signal and parameter mismatches.
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Keywords:
- anticipating projective response /
- accelerative anticipating projective response /
- coupled dynamical systems /
- robustness
[1] Pecora L M, Carroll T L 1990 Phys. Rev. Lett. 64 821
[2] Cuomo K M, Oppenheim A V 1993 Phys. Rev. Lett. 71 65
[3] Hayes S, Grebog C, Ott E, Mark A 1994 Phys. Rev. Lett. 73 1781
[4] Rulkov N F, Sushchik M M, Tsimring L S, Abarbanel H D I 1995 Phys. Rev. E 51 980
[5] Kocarev L, Solak U 1996 Phys. Rev. Lett. 76 1816
[6] Hu A H, Xu Z Y, Guo L X 2009 Acta Phys. Sin. 58 6030 (in Chinese) [胡爱花、 徐振源、 过榴晓 2009 58 6030]
[7] Rosenblum M, Pikovsky A, Kurtz J 1996 Phys. Rev. Lett. 76 1804
[8] Liu Y 2009 Acta Phys. Sin. 58 749 (in Chinese) [刘 勇 2009 58 749]
[9] Mainieri R, Rehacek J 1999 Phys. Rev. Lett. 85 3024
[10] Hung Y C, Hwang C C, Liao T L 2006 Chaos 16 033125
[11] Wang X Y, Wang Y 2007 Acta Phys. Sin. 56 2498 (in Chinese) [王兴元、 王 勇 2007 56 2498]
[12] Cheng X R, Liu C X, Li Y X 2008 Acta Phys. Sin. 57 1453 (in Chinese) [陈向荣、 刘崇新、 李永勋 2008 57 1453]
[13] Chee C Y, Xu D L 2006 IEEE Proc. Circuits Devices Syst. 153 357
[14] Feng C F, Xu X J, Wang S J, Wang Y H 2008 Chaos 18 023117
[15] Ghosh D 2009 Chaos 19 013102
[16] Voss H U 2000 Phys. Rev. E 61 5115
[17] Shahverdiev E M, Sivaprakasam S, Shore K A 2002 Phys. Rev. E 66 017204
[18] Yan H, Wei P, Xiao X C 2009 Chaos 19 023122
[19] Mackey M, Glass L 1977 Science 197 287
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[1] Pecora L M, Carroll T L 1990 Phys. Rev. Lett. 64 821
[2] Cuomo K M, Oppenheim A V 1993 Phys. Rev. Lett. 71 65
[3] Hayes S, Grebog C, Ott E, Mark A 1994 Phys. Rev. Lett. 73 1781
[4] Rulkov N F, Sushchik M M, Tsimring L S, Abarbanel H D I 1995 Phys. Rev. E 51 980
[5] Kocarev L, Solak U 1996 Phys. Rev. Lett. 76 1816
[6] Hu A H, Xu Z Y, Guo L X 2009 Acta Phys. Sin. 58 6030 (in Chinese) [胡爱花、 徐振源、 过榴晓 2009 58 6030]
[7] Rosenblum M, Pikovsky A, Kurtz J 1996 Phys. Rev. Lett. 76 1804
[8] Liu Y 2009 Acta Phys. Sin. 58 749 (in Chinese) [刘 勇 2009 58 749]
[9] Mainieri R, Rehacek J 1999 Phys. Rev. Lett. 85 3024
[10] Hung Y C, Hwang C C, Liao T L 2006 Chaos 16 033125
[11] Wang X Y, Wang Y 2007 Acta Phys. Sin. 56 2498 (in Chinese) [王兴元、 王 勇 2007 56 2498]
[12] Cheng X R, Liu C X, Li Y X 2008 Acta Phys. Sin. 57 1453 (in Chinese) [陈向荣、 刘崇新、 李永勋 2008 57 1453]
[13] Chee C Y, Xu D L 2006 IEEE Proc. Circuits Devices Syst. 153 357
[14] Feng C F, Xu X J, Wang S J, Wang Y H 2008 Chaos 18 023117
[15] Ghosh D 2009 Chaos 19 013102
[16] Voss H U 2000 Phys. Rev. E 61 5115
[17] Shahverdiev E M, Sivaprakasam S, Shore K A 2002 Phys. Rev. E 66 017204
[18] Yan H, Wei P, Xiao X C 2009 Chaos 19 023122
[19] Mackey M, Glass L 1977 Science 197 287
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