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测度同步是在耦合哈密顿系统中发现的一种奇特现象.采用Poincaré截面方法,研究了离散及连续的哈密顿系统中测度同步的发生机理.结果表明,测度同步的发生源于相空间分界线的穿越行为.
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关键词:
- 测度同步 /
- Poincaré截面 /
- 哈密顿系统
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[6] [6]Kaneko K 1986 Physica D 23 436
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[8] [8]Womelsdorf T, Schoffelen J M, Oostenveld R, Singer W, Desimone R, Engel A K, Fries P 2007 Science 316 1609
[9] [9]Bao G, Narenmandula, Tubuxin, Eredencang 2007 Acta Phys. Sin. 56 1971 (in Chinese) [包刚、那仁满都拉、图布心、额尔顿仓 2007 物理学报 56 1971]
[10] ]Zheng Z G, Hu G, Zhou C S, Hu B B 2000 Acta Phys. Sin. 49 2320 (in Chinese) [郑志刚、胡岗、周昌松、胡斑比 2000 物理学报 49 2320]
[11] ]Ma T D, Zhang H G, Wang Z L 2007 Acta Phys. Sin. 56 3796 (in Chinese) [马铁东、张化光、王智良 2007 物理学报 56 23796]
[12] ]Wu Y X, Huang X, Gao J, Zheng Z G 2007 Acta Phys. Sin. 56 3803 (in Chinese) [吴玉喜、黄霞、高建、郑志刚 2007 物理学报 56 3803]
[13] ]Hampton A, Zanette D H 1999 Phys. Rev. Lett. 83 2179
[14] ]Zheng Z G 2004 Spatiotemporal Dynamics and Collective Behaviors in Coupled Nonlinear Systems (Beijing: Higher Education Press) p143 (in Chinese) [郑志刚 2004 耦合非线性系统的时空动力学与合作行为 (北京: 高等教育出版社) 第143页]
[15] ]Wang X G, Zhan M, Lai C H, Hu G 2003 Phys. Rev. E 67 066215
[16] ]Wang X G, Zhang Y, Hu G 2002 Phys. Lett. A 298 383
[17] ]Vincent U E 2005 New J. Phys. 7 209
[18] ]Chen S Y, Xu H B, Wang G R, Chen S G 2004 Acta Phys. Sin. 53 4098 (in Chinese) [陈绍英、许海波、王光瑞、陈式刚 2004 物理学报 53 4098]
[19] ]Zanette D H, Mikhailov A S 1997 Phys. Lett. A 235 135
[20] ]Lichenberg A J, Lieberman M A 1983 Regular and Stochastic Motion (New York: Springer-Verlag) p55
-
[1] [1] Kocarev L, Parlitz U 1996 Phys. Rev. Lett. 76 1816
[2] [2]Boccaletti S, Valladares D L 2000 Phys. Rev. E 62 7497
[3] [3]Masoller C 2001 Phys. Rev. Lett. 86 2782
[4] [4]Pikovsky A, Rosenblum M, Kurths J 2001 Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge: Cambridge University Press) p45
[5] [5]Zhang T X, Zheng Z G 2004 Acta Phys. Sin. 53 3287 (in Chinese) [张廷宪、郑志刚 2004 物理学报 53 3287]
[6] [6]Kaneko K 1986 Physica D 23 436
[7] [7]Pecora L M, Carroll T L 1990 Phys. Rev. Lett. 64 821
[8] [8]Womelsdorf T, Schoffelen J M, Oostenveld R, Singer W, Desimone R, Engel A K, Fries P 2007 Science 316 1609
[9] [9]Bao G, Narenmandula, Tubuxin, Eredencang 2007 Acta Phys. Sin. 56 1971 (in Chinese) [包刚、那仁满都拉、图布心、额尔顿仓 2007 物理学报 56 1971]
[10] ]Zheng Z G, Hu G, Zhou C S, Hu B B 2000 Acta Phys. Sin. 49 2320 (in Chinese) [郑志刚、胡岗、周昌松、胡斑比 2000 物理学报 49 2320]
[11] ]Ma T D, Zhang H G, Wang Z L 2007 Acta Phys. Sin. 56 3796 (in Chinese) [马铁东、张化光、王智良 2007 物理学报 56 23796]
[12] ]Wu Y X, Huang X, Gao J, Zheng Z G 2007 Acta Phys. Sin. 56 3803 (in Chinese) [吴玉喜、黄霞、高建、郑志刚 2007 物理学报 56 3803]
[13] ]Hampton A, Zanette D H 1999 Phys. Rev. Lett. 83 2179
[14] ]Zheng Z G 2004 Spatiotemporal Dynamics and Collective Behaviors in Coupled Nonlinear Systems (Beijing: Higher Education Press) p143 (in Chinese) [郑志刚 2004 耦合非线性系统的时空动力学与合作行为 (北京: 高等教育出版社) 第143页]
[15] ]Wang X G, Zhan M, Lai C H, Hu G 2003 Phys. Rev. E 67 066215
[16] ]Wang X G, Zhang Y, Hu G 2002 Phys. Lett. A 298 383
[17] ]Vincent U E 2005 New J. Phys. 7 209
[18] ]Chen S Y, Xu H B, Wang G R, Chen S G 2004 Acta Phys. Sin. 53 4098 (in Chinese) [陈绍英、许海波、王光瑞、陈式刚 2004 物理学报 53 4098]
[19] ]Zanette D H, Mikhailov A S 1997 Phys. Lett. A 235 135
[20] ]Lichenberg A J, Lieberman M A 1983 Regular and Stochastic Motion (New York: Springer-Verlag) p55
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