Chin. Phys. Lett.  2005, Vol. 22 Issue (9): 2173-2175    DOI:
Original Articles |
Complete Synchronization in Coupled Chaotic HR Neurons with Symmetric Coupling Schemes
WANG Hai-Xia;LU Qi-Shao;WANG Qing-Yun
School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083
Cite this article:   
WANG Hai-Xia, LU Qi-Shao, WANG Qing-Yun 2005 Chin. Phys. Lett. 22 2173-2175
Download: PDF(239KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract Chaos synchronization in an array of coupled chaotic neurons with symmetric coupling is investigated. A criterion for the stability of the synchronization manifold is deduced by transforming the variational equation of the coupled system into a block diagonal one, and the critical coupling strengths for synchronization in different coupled cases are given. As examples for illustration, the HR neurons with the open-ended (i.e. chain), ring, star and all-to-all (i.e. global) coupling schemes are considered. It is shown that the coupling scheme plays an important role in synchronization and information transmission of neurons.

Keywords: 05.45.-a      05.45.Xt     
Published: 01 September 2005
PACS:  05.45.-a (Nonlinear dynamics and chaos)  
  05.45.Xt (Synchronization; coupled oscillators)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2005/V22/I9/02173
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
WANG Hai-Xia
LU Qi-Shao
WANG Qing-Yun
Related articles from Frontiers Journals
[1] K. Fakhar, A. H. Kara. The Reduction of Chazy Classes and Other Third-Order Differential Equations Related to Boundary Layer Flow Models[J]. Chin. Phys. Lett., 2012, 29(6): 2173-2175
[2] HE Gui-Tian, LUO Mao-Kang. Weak Signal Frequency Detection Based on a Fractional-Order Bistable System[J]. Chin. Phys. Lett., 2012, 29(6): 2173-2175
[3] ZHAI Liang-Jun, ZHENG Yu-Jun, DING Shi-Liang. Chaotic Dynamics of Triatomic Normal Mode Molecules[J]. Chin. Phys. Lett., 2012, 29(6): 2173-2175
[4] NIU Yao-Bin, WANG Zhong-Wei, DONG Si-Wei. Modified Homotopy Perturbation Method for Certain Strongly Nonlinear Oscillators[J]. Chin. Phys. Lett., 2012, 29(6): 2173-2175
[5] LIU Yan, LIU Li-Guang, WANG Hang. Study on Congestion and Bursting in Small-World Networks with Time Delay from the Viewpoint of Nonlinear Dynamics[J]. Chin. Phys. Lett., 2012, 29(6): 2173-2175
[6] Paulo C. Rech. Dynamics in the Parameter Space of a Neuron Model[J]. Chin. Phys. Lett., 2012, 29(6): 2173-2175
[7] YAN Yan-Zong, WANG Cang-Long, SHAO Zhi-Gang, YANG Lei. Amplitude Oscillations of the Resonant Phenomena in a Frenkel–Kontorova Model with an Incommensurate Structure[J]. Chin. Phys. Lett., 2012, 29(6): 2173-2175
[8] LI Jian-Ping,YU Lian-Chun,YU Mei-Chen,CHEN Yong**. Zero-Lag Synchronization in Spatiotemporal Chaotic Systems with Long Range Delay Couplings[J]. Chin. Phys. Lett., 2012, 29(5): 2173-2175
[9] JIANG Jun**. An Effective Numerical Procedure to Determine Saddle-Type Unstable Invariant Limit Sets in Nonlinear Systems[J]. Chin. Phys. Lett., 2012, 29(5): 2173-2175
[10] FANG Ci-Jun,LIU Xian-Bin**. Theoretical Analysis on the Vibrational Resonance in Two Coupled Overdamped Anharmonic Oscillators[J]. Chin. Phys. Lett., 2012, 29(5): 2173-2175
[11] WEI Du-Qu, LUO Xiao-Shu, ZHANG Bo. Noise-Induced Voltage Collapse in Power Systems[J]. Chin. Phys. Lett., 2012, 29(3): 2173-2175
[12] LI Nian-Qiang, PAN Wei, YAN Lian-Shan, LUO Bin, XU Ming-Feng, TANG Yi-Long. Quantifying Information Flow between Two Chaotic Semiconductor Lasers Using Symbolic Transfer Entropy[J]. Chin. Phys. Lett., 2012, 29(3): 2173-2175
[13] ZHENG Yong-Ai. Adaptive Generalized Projective Synchronization of Takagi-Sugeno Fuzzy Drive-response Dynamical Networks with Time Delay[J]. Chin. Phys. Lett., 2012, 29(2): 2173-2175
[14] SUN Mei, CHEN Ying, CAO Long, WANG Xiao-Fang. Adaptive Third-Order Leader-Following Consensus of Nonlinear Multi-agent Systems with Perturbations[J]. Chin. Phys. Lett., 2012, 29(2): 2173-2175
[15] REN Sheng, ZHANG Jia-Zhong, LI Kai-Lun. Mechanisms for Oscillations in Volume of Single Spherical Bubble Due to Sound Excitation in Water[J]. Chin. Phys. Lett., 2012, 29(2): 2173-2175
Viewed
Full text


Abstract