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Minimal Braid in Applied Symbolic Dynamics
作者姓名:张成  张亚刚  彭守礼
作者单位:CenterforNonlinearComplexSystems,DepartmentofPhysics,YunnanUniversity,Kunming650091
摘    要:Based on the minimal braid assumption, three-dimensionai periodic flows of a dynamical system are reconstructed in the case of unimodai map, and their topologicai structures are compared with those of the periodic orbits of the R6ssler system in phase space through the numerical experiment. The numerical results justify the validity of the minimai braid assumption which provides a suspension from one-dimensional symbolic dynamics in the Poincare section to the knots of three-dimensionai periodic flows.

关 键 词:非线性微分方程  应用符号动力学  三维周期流动  相空间  周期轨道  数值模拟  Rossler系统  拓扑结构    纽结
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