Chin. Phys. Lett.  2010, Vol. 27 Issue (7): 070501    DOI: 10.1088/0256-307X/27/7/070501
GENERAL |
Nonlocal Measure Synchronization in Coupled Bosonic Josephson Junctions
TIAN Jing1, QIU Hai-Bo1, CHEN Yong1,2
1Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000 2Key Laboratory for Magnetism and Magnetic Materials of the Ministry of Eduction, Lanzhou University, Lanzhou 730000
Cite this article:   
TIAN Jing, QIU Hai-Bo, CHEN Yong 2010 Chin. Phys. Lett. 27 070501
Download: PDF(943KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract

We investigate the measure synchronization (MS) in two coupled bosonic Josephson junctions. By tuning up the coupling between the two dynamical systems, in addition to the normal MS, a nonlocal MS (NLMS) state is observed. Furthermore, with the dynamic stability analysis, we present the exact analytical solution of the transition point to NLMS.

Keywords: 05.45.Xt      03.75.Mn      03.75.Lm      45.20.Jj     
Received: 01 February 2010      Published: 28 June 2010
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  03.75.Mn (Multicomponent condensates; spinor condensates)  
  03.75.Lm (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)  
  45.20.Jj (Lagrangian and Hamiltonian mechanics)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/10.1088/0256-307X/27/7/070501       OR      https://cpl.iphy.ac.cn/Y2010/V27/I7/070501
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
TIAN Jing
QIU Hai-Bo
CHEN Yong
[1] Huygenii C 1673 Horoloquim Oscillatorium (Paris: F. Muguet)
[2] Fabiny L, Colet P and Roy R 1993 Phys. Rev. A 47 4287
[3] Roy R and Thornburg K S, Jr. 1994 Phys. Rev. Lett. 72 2009
[4] Anishchenko V S et al 1992 Int. J. Bifurcation Chaos Appl. Sci. Eng. 2 633
[5] Heagy J F, Carroll T L and Pecora L M 1994 Phys. Rev. A 50 1874
[6] Schreiber I and Marek M 1982 Physica D 50 258
[7] Han S K, Kurrer C and Kuramoto K 1995 Phys. Rev. Lett. 75 3190
[8] Kocarev L and Parlitz U 1983 Phys. Rev. Lett. 74 5028
[9] Pecora L M and Carroll T L 1990 Phys. Rev. Lett. 64 821
[10] Fujisaka H and Yamada T 1983 Prog. Theor. Phys. 69 32
[11] Pikovsky A S 1984 Z. Phys. B 55 149
[12] Rulkov N F et al 1995 Phys. Rev. E 51 980
[13] Gao J, Zheng Z G, He D H and Zhang T X 2003 Chin. Phys. Lett. 20 999
[14] Abarbanel H D I et al 1996 Phys. Rev. E 53 4528
[15] Pecora L and Parlitz U 1996 Phys. Rev. Lett. 76 1816
[16] Pyragas K 1996 Phys. Rev. E 54 R4508
[17] Rosenblum M G, Pikovsky A S and Kurths J 1996 Phys. Rev. Lett. 76 1804
[18] Zheng Z G, Hu G and Hu B B 2001 Chin. Phys. Lett. 18 847
[19] Wang Q Y and Lu Q S 2005 Chin. Phys. Lett. 22 1329
[20] Osipov G V, Pikovsky A S, Rosenblum M G and Kurths J 1997 Phys. Rev. E 55 2353
[21] Rosa E, Ott E and Hess M H 1998 Phys. Rev. Lett. 80 1642
[22] Zaks M A, Park E, Rosenblum M G and Kurths J 1999 Phys. Rev. Lett. 82 4228
[23] Rosenblum M G, Pikovsky A S and Kurths J 1997 Phys. Rev. Lett. 78 4193
[24] Lee T H and Park J H 2009 Chin. Phys. Lett. 26 090507
[25] Taherion S and Lai Y C 1999 Phys. Rev. E 59 R6247
[26] Duane G S 2009 Phys. Rev. E 80 R015202
[27] Hampton A and Zanette H D 1999 Phys. Rev. Lett. 83 2179
[28] Wang X, Zhang M, Lai C-H and Hu G 2003 Phys. Rev. E 67 066215
[29] Vincent U E 2005 New J. Phys. 7 209
[30] Wang X G, Li H, Hu K and Hu G 2002 Int. J. Bifurcation Chaos Appl. Sci. Eng. 12 1143
[31] Ashhab S and Lobo C 2002 Phys. Rev. A 66 013609
[32] Xu X Q, Lu L H and Li Y Q 2008 Phys. Rev. A 78 043609
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): 070501
[2] WANG Qiang, YE Chong, FU Li-Bin. Quantum Cyclotron Orbits of a Neutral Atom Trapped in a Triple Well with a Synthetic Gauge Field[J]. Chin. Phys. Lett., 2012, 29(6): 070501
[3] HE Jing-Song, WANG You-Ying, LI Lin-Jing. Non-Rational Rogue Waves Induced by Inhomogeneity[J]. Chin. Phys. Lett., 2012, 29(6): 070501
[4] YAN Jia-Ren**,ZHOU Jie,AO Sheng-Mei. The Dynamics of a Bright–Bright Vector Soliton in Bose–Einstein Condensation[J]. Chin. Phys. Lett., 2012, 29(5): 070501
[5] 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): 070501
[6] 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): 070501
[7] ZHENG Shi-Wang, WANG Jian-Bo, CHEN Xiang-Wei, XIE Jia-Fang. Mei Symmetry and New Conserved Quantities of Tzénoff Equations for the Variable Mass Higher-Order Nonholonomic System[J]. Chin. Phys. Lett., 2012, 29(2): 070501
[8] TIE Lu, XUE Ju-Kui. The Anisotropy of Dipolar Condensate in One-Dimensional Optical Lattices[J]. Chin. Phys. Lett., 2012, 29(2): 070501
[9] 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): 070501
[10] WANG Sha, YU Yong-Guang. Generalized Projective Synchronization of Fractional Order Chaotic Systems with Different Dimensions[J]. Chin. Phys. Lett., 2012, 29(2): 070501
[11] KADIR Abdurahman, WANG Xing-Yuan**, ZHAO Yu-Zhang . Generalized Synchronization of Diverse Structure Chaotic Systems[J]. Chin. Phys. Lett., 2011, 28(9): 070501
[12] WU Cong-Jun**, Ian Mondragon-Shem, , ZHOU Xiang-Fa . Unconventional Bose–Einstein Condensations from Spin-Orbit Coupling[J]. Chin. Phys. Lett., 2011, 28(9): 070501
[13] HUANG Bei-Bing**, WAN Shao-Long . A Finite Temperature Phase Diagram in Rotating Bosonic Optical Lattices[J]. Chin. Phys. Lett., 2011, 28(6): 070501
[14] JIANG Hui-Jun, WU Hao, HOU Zhong-Huai** . Explosive Synchronization and Emergence of Assortativity on Adaptive Networks[J]. Chin. Phys. Lett., 2011, 28(5): 070501
[15] XU Wei, YUAN Bo, AO Ping, ** . Construction of Lyapunov Function for Dissipative Gyroscopic System[J]. Chin. Phys. Lett., 2011, 28(5): 070501
Viewed
Full text


Abstract