Detecting topological transitivity of piecewise monotone interval maps

J.F. Alves; J.L. Fachada; J. Sousa Ramos

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Detecting topological transitivity of piecewise monotone interval maps

机译：分段单调区间图的拓扑传递性检测

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摘要

Through kneading theory, developed by Milnor and Thurston, we present an algorithm which enables us to detect the topological transitivity of a relevant class of piecewise monotone interval maps.

机译：通过由Milnor和Thurston开发的揉合理论，我们提出了一种算法，使我们能够检测相关类的分段单调间隔图的拓扑传递性。

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来源
《Topology and its applications》 |2005年第6期|p.680-697|共18页
作者
J.F. Alves; J.L. Fachada; J. Sousa Ramos;
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作者单位

Departamento de Matematica, Institute Superior Tecnico, Av. Rovisco Pais, 1, 1049-001 Lisboa, Portugal;

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原文格式 PDF
正文语种 eng
中图分类高等数学;
关键词
interval maps; topological transitivity; topological entropy; topological invariants;

机译：区间图;拓扑传递性;拓扑熵;拓扑不变量;

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专利

1. Topological conjugacies of piecewise monotone interval maps [J] . Nikos A.Fotiades, Moses A.Boudourides International journal of mathematics and mathematical sciences . 2001,第2期

机译：分段单调区间图的拓扑共轭
2. BOUNDARY CONDITIONS FOR MAPS IN FIBERS AND TOPOLOGICAL TRANSITIVITY OF SKEW PRODUCTS OF INTERVAL MAPS [J] . L. S. Efremova, A. S. Filchenkov Journal of Mathematical Sciences . 2015,第1期

机译：纤维中MAP的边界条件和间隔MAPS的斜拓扑产物的拓扑传递性
3. TOPOLOGICAL ENTROPY IN THESYNCHRONIZATION OF PIECEWISE LINEARAND MONOTONE MAPS.COUPLED DUFFING OSCILLATORS [J] . ACILINA CANECO, J. LEONEL ROCHA, CLARA GRACIO International journal of bifurcation and chaos in applied sciences and engineering . 2009,第11期

机译：分段线性振荡器映射同步中的拓扑熵
4. Topological Mapping of Neurons using Activities Detected in MEA Recording Signals [C] . José Roberto Campos, José Hiroki Saito, Jo?o Fernando Mari, International Conference on Knowledge-Based Intelligent Information and Engineering Systems . 2018

机译：在MEA记录信号中检测到的活动的神经元的拓扑映射
5. On the Shadowing property for piecewise monotone maps [D] . Chen, Liang 1990

机译：在分段单调贴图的“阴影”属性上
6. MSTD: an efficient method for detecting multi-scale topological domains from symmetric and asymmetric 3D genomic maps [O] . Yusen Ye, Lin Gao, Shihua Zhang 2019

机译：MSTD：一种从对称和非对称3D基因组图谱中检测多尺度拓扑域的有效方法
7. Detecting topological transitivity of piecewise monotone interval maps☆☆Partially supported by FCT/POCTI/FEDER. [O] . Alves J.F., Fachada J.L., Sousa Ramos J. 2005

机译：检测分段单调间隔图的拓扑可传递性☆☆部分受FCT / POCTI / FEDER支持。

Detecting topological transitivity of piecewise monotone interval maps

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