FRACTAL DIMENSION AND CONVERGENCE PROPERTY OF RECURSIVELY GENERATED SYMPLECTIC INTEGRATORS

被引:4
|
作者
ITOH, T [1 ]
CAI, DS [1 ]
机构
[1] UNIV TSUKUBA,INST INFORMAT SCI & ELECTR,TSUKUBA,IBARAKI 305,JAPAN
关键词
D O I
10.1016/0375-9601(92)90425-L
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Recursive constructions of symplectic integrators for the Hamiltonian dynamical system are discussed in a general form. Moreover, using the fractal dimensions, we introduce the classification procedure of the symplectic integrators. We also show that the obtained fractal dimensions are related to the convergence and stability of the symplectic integrators.
引用
收藏
页码:189 / 198
页数:10
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