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部分耦合非恒同单摆系统的渐近同步 被引量：1

Asymptotic synchronization of partially coupled nonidentical pendula systems
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摘要 考虑了外部耦合格式为n×n阶实对称不可约、行和为零且对角线以外的元素非正的矩阵时的部分耦合非恒同单摆格点系统.证明了此耦合系统当耦合强度足够大时出现新渐近同步. We consider a lattice of partially coupled nonidentical pendula equation with the external matrices being n × n irreducible symmetric real matrices with zero row sum and nonpostive off-diagonal elements. We prove that the asymptotic synchronization occurs provided the coupling strength is sufficiently large.
作者 杨联华
机构地区 上饶师范学院数计系
出处 《苏州大学学报（自然科学版）》 CAS 2007年第4期15-18,共4页 Journal of Soochow University(Natural Science Edition)
关键词 部分耦合 非恒同耦合系统 渐近同步 partial coupling coupled nonidentical systems asymptotic synchronization
分类号 O193 [理学—基础数学]
  • 相关文献

参考文献5

  • 1Afraimovich V S, Chow S N, Hale J K. Synchronization in lattices of coupled oscillators [ J ]. Physica D, 1997,103:442 -451.
  • 2Chiu C H, Lin W W,Wang C S. Synchronization in lattices of coupled oscillators with various boundary conditions[ J]. Nonlinear Analysis, 2001,46 : 213 - 229.
  • 3Lin W W, Peng C C. Chaotic synchronization in lattices of partial-state coupled Lorenz equations [ J ]. Physica D, 2002,166:29 - 42
  • 4Chen G, Qin W X. Synchronization of partially coupled nonlinear dynamical systems, preprint.
  • 5Afraimovich V S, Verichev N N, Rabinovich M I. Stochastic synchronization of oscillations in dissipative systems [ J ]. Izv Vys Uch Zav, Radiofizika, 1986,29 : 10510 - 1060.

同被引文献14

  • 1Heagy J F,Carroll T L,Pecora L M. Synchronous Chaos in Coupled Oscillator Systems[J].J Phys Rev E,1994.1874-1885.
  • 2Lü J H,Yu X H,Chen G R. Chaos Synchronization of General Complex Dynamical Networks[J].J Physica A,2004.281-302.
  • 3Lii J H,Yu X H,Chen G R,Cheng D Z. Characterizing the Synchronizability of Small-word Dynamical Networks[J].J IEEE Trans Circuits Syst I,2004,(04):787-796.
  • 4Lü J H,Chen G R. A Time-varying Complex Dynamical Network Model and Its Controlled Synchronization Criteria[J].J IEEE Trans Automat Contr,2005,(06):841-846.doi:10.1109/TAC.2005.849233.
  • 5Chiu C H,Lin W W,Peng C C. Asymptotic Synchronization in Lattices of Coupled Nonidentical Lorenz Equations[J].J Int J Bifurcation and Chaos,2000,(12):2717-2728.doi:10.1142/S0218127400001778.
  • 6Afraimovich V S,Lin W W. Synchronization in Lattices of Coupled Oscillators with Neumann/Periodic Boundary Conditions[J].J Dyn Stab Syst,1998.237-264.
  • 7Afraimovich V S,Chow S N,Hale J K. Synchronization in Lattices of Coupled Oscillators[J].J Physica D,1997.442-451.
  • 8Chiu C H,Lin W W,Wang C S. Synchronization in Lattices of Coupled Oscillators with Various Boundary Conditions[J].J Nonlinear Analysis,2001.213-229.
  • 9Lin W W,Peng C C. Chaotic Synchronization in Lattices of Partial-state Coupled Lorenz Equations[J].J Physica D,2002.29-42.
  • 10Afraimovich V S,Verichev N N,Rabinovich M I. Stochastic Synchronization of Oscillations in Dissipative Systems[J].J Izv Vys Uch Zav Radiofizika,1986.1050-1060.

引证文献1

苏州大学学报（自然科学版）
2007年 第4期

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