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题名: CHAOTIC SYSTEMS - COUNTING THE NUMBER OF PERIODS
作者: HAO, BL ;  XIE, FG
刊名: PHYSICA A
出版日期: 1993
卷号: 194, 期号:40912, 页码:77-85
关键词: SYMBOLIC DYNAMICS ;  CUBIC MAP ;  ENDOMORPHISMS ;  CYCLES
学科分类: Physics
通讯作者: HAO, BL , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA.
部门归属: BEIJING NORMAL UNIV,DEPT PHYS,BEIJING,PEOPLES R CHINA
英文摘要: Characterization of chaotic motion may proceed both at an averaged ''macroscopic'' level, using such notions as Lyapunov exponents, dimensions and entropies, and at a ''microscopic'' level. In the latter case, the number of periodic orbits, being a topological invariant, plays an important role. For various one-dimensional mappings, the counting problem itself has many interesting facets and may be solved more or less completely in different ways. Recent progress in this counting problem is summarized with the hope that the explicit results obtained may be useful for classification of higher-dimensional dissipative chaotic systems.
收录类别: SCI
原文出处: 查看原文
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/12054
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
HAO, BL,XIE, FG. CHAOTIC SYSTEMS - COUNTING THE NUMBER OF PERIODS[J]. PHYSICA A,1993,194(40912):77-85.
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