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The dynamic behavior of ring coupled Duffing oscillators driven by non-periodic signal is investigated, a phenomenon is discovered, which shows that when ring coupled Duffing oscillators are in the period-doubling bifurcation phase state and one of the oscillators is driven by pulse signal under certain parameter conditions, this oscillator and the other oscillators suddenly change from synchronization to transient non-synchronization and then rapidly return to synchronization, which is defined as transient synchronization mutation. This phenomenon can be used to accurately detect weak pulse signal in strong noise environments, which can further extend the weak signal detection range based on the Duffing oscillator.
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Keywords:
- transient synchronization mutation /
- weak signal detection /
- pulse signal /
- Duffing oscillator
[1] Li Y, Yang B J, Du L Z, Yuan Y 2003 Chin. Phys. 12 0714
[2] [3] Wang Y C, Zhao Q C, Wang A B 2008 Chin. Phys B 17 2373
[4] [5] Xiang X Q, Shi B C 2010 Chaos 20 013104
[6] Wang Y S, Jiang W Z, Zhao J J, Fan H D 2008 Acta Phys. Sin. 57 2053(in Chinese)[王永生、姜文志、赵建军、范洪达2008 57 2053]
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[15] [16] Li Y, Yang B J, Yuan Y, Liu X H 2007 Chin. Phys. 16 1072
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[26] Pecora L M, Carroll T L 1990 Phys. Rev. Lett. 64 821
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[30] Fu G Y, Li Z S 2010 Chin. Phys B 19 060505
[31] [32] Wang H X, Lu Q S, Shi X 2010 Chin. Phys B 19 060509
[33] [34] [35] Suykens J A K, Osipov G V 2008 Chaos 18 037101
[36] Sun Y Z, Ruan J 2010 Chin. Phys B 19 070513
[37] [38] [39] Kong C C, Chen S H 2009 Chin. Phys B 18 91
[40] [41] Salas J S G, Canton E C, Salazar F C O, Canton I C 2008 Chaos 18 023136
[42] Anishchenko V, Nikolaev S, Kurths J 2008 Chaos 18 037123
[43] [44] Agrawal M, Prasad A, Ramaswamy R 2010 Phys. Rev. E 81 026202
[45] [46] [47] Ciszak M, Montina A, Arecchi F T 2009 Chaos 19 015104
[48] [49] Baibolatov Y, Rosenblum M, Zhanabaev Z Zh, Kyzgarina M, Pikovsky A 2009 Phys. Rev. E 80 046211
[50] Wu Y F, Zhang S P, Sun J W, Rolfe P 2011 Acta Phys. Sin. 60 020511(in Chinese) [吴勇峰、张世平、孙金玮、Peter Rolfe 2011 60 020511]
[51] [52] [53] Ott E, Platig J H, Antonsen T M, Girvan M 2008 Chaos 18 037115
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[1] Li Y, Yang B J, Du L Z, Yuan Y 2003 Chin. Phys. 12 0714
[2] [3] Wang Y C, Zhao Q C, Wang A B 2008 Chin. Phys B 17 2373
[4] [5] Xiang X Q, Shi B C 2010 Chaos 20 013104
[6] Wang Y S, Jiang W Z, Zhao J J, Fan H D 2008 Acta Phys. Sin. 57 2053(in Chinese)[王永生、姜文志、赵建军、范洪达2008 57 2053]
[7] [8] [9] Zhai D Q, Liu C X, Liu Y, Xu Z 2010 Acta Phys. Sin. 59 816(in Chinese) [翟笃庆、刘崇新、刘尧、许喆 2010 59 0816]
[10] Birx D L, Pipenberg S J 1992 IEEE Int. Joint Conf. Neural Networds 22 881
[11] [12] Wang G Y, Tao G L, Chen X, Lin J Y 1997 Chinese Journal of Scientific Instrument 18 209(in Chinese)[王冠宇、陶国良、陈行、林建亚 1997 仪器仪表学报 18 209]
[13] [14] Wang G Y, He S L 2003 IEEE Trans. Circuits-I 50 945
[15] [16] Li Y, Yang B J, Yuan Y, Liu X H 2007 Chin. Phys. 16 1072
[17] [18] Li Y, Yang B J, Yuan Y, Zhao X P, Lin H B 2006 Chin. Sci. Bull. 51 3010
[19] [20] Li Y, Yang B J 2003 Chin. Sci. Bull. 48 19
[21] [22] Li Y, Lu P, Yang B J, Zhao X P 2006 Acta Phys. Sin. 55 1672(in Chinese)[李 月、路 鹏、杨宝俊、赵雪平 2006 55 1672]
[23] [24] [25] Yuan Y, Li Y, Mandic D P, Yang B J 2009 Chin. Phys B 18 958
[26] Pecora L M, Carroll T L 1990 Phys. Rev. Lett. 64 821
[27] [28] [29] Goldobin D S, Pikovsky A 2005 Phys. Rev. E 71 045201
[30] Fu G Y, Li Z S 2010 Chin. Phys B 19 060505
[31] [32] Wang H X, Lu Q S, Shi X 2010 Chin. Phys B 19 060509
[33] [34] [35] Suykens J A K, Osipov G V 2008 Chaos 18 037101
[36] Sun Y Z, Ruan J 2010 Chin. Phys B 19 070513
[37] [38] [39] Kong C C, Chen S H 2009 Chin. Phys B 18 91
[40] [41] Salas J S G, Canton E C, Salazar F C O, Canton I C 2008 Chaos 18 023136
[42] Anishchenko V, Nikolaev S, Kurths J 2008 Chaos 18 037123
[43] [44] Agrawal M, Prasad A, Ramaswamy R 2010 Phys. Rev. E 81 026202
[45] [46] [47] Ciszak M, Montina A, Arecchi F T 2009 Chaos 19 015104
[48] [49] Baibolatov Y, Rosenblum M, Zhanabaev Z Zh, Kyzgarina M, Pikovsky A 2009 Phys. Rev. E 80 046211
[50] Wu Y F, Zhang S P, Sun J W, Rolfe P 2011 Acta Phys. Sin. 60 020511(in Chinese) [吴勇峰、张世平、孙金玮、Peter Rolfe 2011 60 020511]
[51] [52] [53] Ott E, Platig J H, Antonsen T M, Girvan M 2008 Chaos 18 037115
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