Chin. Phys. Lett.  2006, Vol. 23 Issue (6): 1418-1421    DOI:
Original Articles |
Projective Synchronization in Time-Delayed Chaotic Systems
FENG Cun-Fang;ZHANG Yan;WANG Ying-Hai
Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000
Cite this article:   
FENG Cun-Fang, ZHANG Yan, WANG Ying-Hai 2006 Chin. Phys. Lett. 23 1418-1421
Download: PDF(198KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract For the first time, we report on projective synchronization between two time delay chaotic systems with single time delays. It overcomes some limitations of the previous work, where projective synchronization has been investigated only in finite-dimensional chaotic systems, so we can achieve projective synchronization in infinite-dimensional chaotic systems. We give a general method with which we can achieve projective synchronization in time-delayed chaotic systems. The method is illustrated using the famous delay differential equations related to optical bistability. Numerical simulations fully support the analytical approach.
Keywords: 05.45.Xt      05.45.Jn     
Published: 01 June 2006
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  05.45.Jn (High-dimensional chaos)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2006/V23/I6/01418
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
FENG Cun-Fang
ZHANG Yan
WANG Ying-Hai
Related articles from Frontiers Journals
[1] HE Gui-Tian, LUO Mao-Kang. Weak Signal Frequency Detection Based on a Fractional-Order Bistable System[J]. Chin. Phys. Lett., 2012, 29(6): 1418-1421
[2] 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): 1418-1421
[3] 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): 1418-1421
[4] 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): 1418-1421
[5] WANG Sha, YU Yong-Guang. Generalized Projective Synchronization of Fractional Order Chaotic Systems with Different Dimensions[J]. Chin. Phys. Lett., 2012, 29(2): 1418-1421
[6] KADIR Abdurahman, WANG Xing-Yuan**, ZHAO Yu-Zhang . Generalized Synchronization of Diverse Structure Chaotic Systems[J]. Chin. Phys. Lett., 2011, 28(9): 1418-1421
[7] JIANG Hui-Jun, WU Hao, HOU Zhong-Huai** . Explosive Synchronization and Emergence of Assortativity on Adaptive Networks[J]. Chin. Phys. Lett., 2011, 28(5): 1418-1421
[8] WANG Xing-Yuan**, REN Xiao-Li . Chaotic Synchronization of Two Electrical Coupled Neurons with Unknown Parameters Based on Adaptive Control[J]. Chin. Phys. Lett., 2011, 28(5): 1418-1421
[9] SONG Yan-Li . Frequency Effect of Harmonic Noise on the FitzHugh–Nagumo Neuron Model[J]. Chin. Phys. Lett., 2011, 28(12): 1418-1421
[10] GUO Xiao-Yong, *, LI Jun-Min . Projective Synchronization of Complex Dynamical Networks with Time-Varying Coupling Strength via Hybrid Feedback Control[J]. Chin. Phys. Lett., 2011, 28(12): 1418-1421
[11] FENG Cun-Fang**, WANG Ying-Hai . Projective Synchronization in Modulated Time-Delayed Chaotic Systems Using an Active Control Approach[J]. Chin. Phys. Lett., 2011, 28(12): 1418-1421
[12] WEI Du-Qu**, LUO Xiao-Shu, CHEN Hong-Bin, ZHANG Bo . Random Long-Range Interaction Induced Synchronization in Coupled Networks of Inertial Ratchets[J]. Chin. Phys. Lett., 2011, 28(11): 1418-1421
[13] LI Mei-Sheng**, ZHANG Hong-Hui, ZHAO Yong, SHI Xia . Synchronization of Coupled Neurons Controlled by a Pacemaker[J]. Chin. Phys. Lett., 2011, 28(1): 1418-1421
[14] SUN Zhi-Qiang, XIE Ping, LI Wei, WANG Peng-Ye. Spiking Regularity and Coherence in Complex Hodgkin-Huxley Neuron Networks[J]. Chin. Phys. Lett., 2010, 27(8): 1418-1421
[15] TIAN Jing, QIU Hai-Bo, CHEN Yong,. Nonlocal Measure Synchronization in Coupled Bosonic Josephson Junctions[J]. Chin. Phys. Lett., 2010, 27(7): 1418-1421
Viewed
Full text


Abstract