Chin. Phys. Lett.  2007, Vol. 24 Issue (4): 882-885    DOI:
Original Articles |
From Autonomous Coherence Resonance to Periodically Driven Stochastic Resonance
CAO Zhou-Jian1;LI Peng-Fei1;HU Gang 1,2,3
1Department of Physics, Beijing Normal University, Beijing 1008752Chinese Center for Advanced Science and Technology (World Laboratory), Beijing 1000803Beijing-Hong Kong-Singapore Joint Center of Nonlinear and Complex Systems, Beijing Normal University Branch, Beijing 100875
Cite this article:   
CAO Zhou-Jian, LI Peng-Fei, HU Gang 2007 Chin. Phys. Lett. 24 882-885
Download: PDF(301KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract In periodically driven nonlinear stochastic systems, noise may play a role of enhancing the output periodic signal (termed as stochastic resonance or SR). While in autonomous excitable systems, noise may play a role of increasing coherent motion (termed as coherence resonance or CR). So far the topics of SR and CR have been investigated separately as two major fields of studying the active roles of noise in nonlinear systems. We find that these two topics are closely related to each other. Specifically, SR occurs in such periodically driven systems that the corresponding autonomous systems show CR. The SR with sensitive frequency dependence can be observed when the corresponding autonomous system shows CR with finite characteristic frequency. Moreover, `resona
Keywords: 05.40.+j      87.10.+e     
Received: 14 November 2006      Published: 26 March 2007
PACS:  05.40.+j  
  87.10.+e  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2007/V24/I4/0882
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
CAO Zhou-Jian
LI Peng-Fei
HU Gang
[1]Benzi R, Sutera A and Vulpiani A 1981 J. Phys. A 14L453 Nicolis C 1981 Sol. Phys. 74 473 Nicolis C 1982 Tellus 34 1
[2]Gammaitoni L, Haenggi P, Jung P and Marchesoni F 1998 Rev. Mod.Phys. 70 223 and references therein
[3] Chapeau-Blondeau F and Godivier X 1997 Phys. Rev. E 55 1478
[4] Hou Z, Yang L and Xin H 1999 J. Chem. Phys. 1111592
[5] Yang L, Hou Z and Xin H 1999 Chem. Phys. 110 3591
[6] Nozaki D, Mar D J, Grigg P and Collins J J 1999 Phys. Rev. Lett. 82 402
[7] Uzdensky A B 1999 Electron. Magnetobiol. 18 67
[8] Inchiosa M E, Robinson J W C and Bulsara A R 2000 Phys.Rev. Lett. 85 3369
[9] Robinson J W C, Rung J, Bulsara A R and Inchiosa M E 2001 Phys. Rev. E 63 011107
[10] Chapeau-Blondeau F 2000 IEEE Signal Processing Lett. 7 205
[11] Zozor S and Amblard P 2003 IEEE Trans. Signal Processing 51 3177
[12] Hu G, Ditzinger T, Ning C Z and Haken H 1993 Phys. Rev.Lett. 71 807 Pikovsky A S and Kurths J 1997 Phys. Rev. Lett. 78775
[13] Giacomelli G, Giudici M, Balle S andTredicce J R 2000 Phys. Rev. Lett. 84 3298
[14] Buldu J M, Garca-Ojalvo J, Mirasso C R, Torrent M C andSancho J M 2001 Phys. Rev. E 64 051109
[15] Qian M, Wang G and Zhang X 2000 Phys. Rev. E 626469
[16] Hu G, Haken H and Xie F 1996 Phys. Rev. Lett. 771925 Liu H, Hu G, Zhang Y and Xiao J 2000 Commun. Theor. Phys. 33 197
[17] Lindner B and Schimansky-Geier L 2000 Phys. Rev. E 61 6103
[18] Risken H 1983 The Fokker--Planck Equation: Methods ofSolution and Applications (New York: Springer)
[19] Honeycutt R L 1992 Phys. Rev. A 45 600
Related articles from Frontiers Journals
[1] GUO Rong-Wei . Simultaneous Synchronization and Anti-Synchronization of Two Identical New 4D Chaotic Systems[J]. Chin. Phys. Lett., 2011, 28(4): 882-885
[2] ZHANG Yan-Ping, HE Ji-Zhou**, XIAO Yu-Ling . An Approach to Enhance the Efficiency of a Brownian Heat Engine[J]. Chin. Phys. Lett., 2011, 28(10): 882-885
[3] ZHANG Yan-Ping, HE Ji-Zhou. Thermodynamic Performance Characteristics of an Irreversible Micro-Brownian Heat Engine Driven by Temperature Difference[J]. Chin. Phys. Lett., 2010, 27(9): 882-885
[4] Ahmet Y�, ld�, r�, m, Syed Tauseef Mohyud-Din**. Analytical Approach to Space- and Time-Fractional Burgers Equations[J]. Chin. Phys. Lett., 2010, 27(9): 882-885
[5] GUO Rong-Wei, U. E. Vincent,. Control of a Unified Chaotic System via Single Variable Feedback[J]. Chin. Phys. Lett., 2009, 26(9): 882-885
[6] Conrad Bertrand Tabi, Alidou Mohamadou, Timoleon Crepin Kofané. Modulated Wave Packets in DNA and Impact of Viscosity[J]. Chin. Phys. Lett., 2009, 26(6): 882-885
[7] WU Zheng-Yi, FENG Jin-Fu, WU Xiao-Shan. Thermal Vibration and Twist Induced Semiconducting Behaviour in Short DNA Wires[J]. Chin. Phys. Lett., 2009, 26(2): 882-885
[8] SUN Yong-Zheng, RUAN Jiong. Leader--Follower Consensus Problems of Multi-agent Systems with Noise Perturbation and Time Delays[J]. Chin. Phys. Lett., 2008, 25(9): 882-885
[9] JIANG Shi-Mei, CAI Shi-Min, ZHOU Tao, , ZHOU Pei-Ling. Note on Two-Phase Phenomena in Financial Markets[J]. Chin. Phys. Lett., 2008, 25(6): 882-885
[10] ZENG Chun-Hua, XIE Chong-Wei. Stochastic Resonance in a Gene Transcriptional Regulatory System with Time Delay[J]. Chin. Phys. Lett., 2008, 25(5): 882-885
[11] DING Liang-Jing, PENG Hu, CAI Shi-Min, ZHOU Pei-Ling. Multifractal Analysis of Human Heartbeat in Sleep[J]. Chin. Phys. Lett., 2007, 24(7): 882-885
[12] HAN Li-Bo, GONG Xiao-Long, CAO Li, WU Da-Jin. Influence of Coloured Correlated Noises on Probability Distribution and Mean of Tumour Cell Number in the Logistic Growth Model[J]. Chin. Phys. Lett., 2007, 24(3): 882-885
[13] XIE Hui-Zhang, AI Bao-Quan, LIU Xue-Mei, CHENG Xiao-Bo, LIU Liang-Gang, LI Zhi-Bing. Particle Transport with Asymmetric Unbiased Forces and Entropic Barrier[J]. Chin. Phys. Lett., 2007, 24(12): 882-885
[14] WANG Guang-Li, HUANG Shi-Yong, ZHANG Ying-Ying, LIANG Pei-Ji. Contrast Adaptation Decreases Complexity in Retinal Ganglion Cell Spike Train[J]. Chin. Phys. Lett., 2007, 24(1): 882-885
[15] ZHANG Ji-Qian, HOU Zhong-Huai, XIN Hou-Wen. Neural Signal Tuned by Random Long-range Connections in Coupled FitzHugh--Nagumo Neurons Systems[J]. Chin. Phys. Lett., 2006, 23(9): 882-885
Viewed
Full text


Abstract