On λ-Power Distributional n-Chaos

查看全文 作　　者：Heman [1]FU;Feng [2]TAN

机构地区：[1]School of Mathematics and Statistics, Zhaoqing University;[2]School of Mathematical Sciences, South China Normal University

出　　处：《Chinese Annals of Mathematics,Series B》索引2017年第38卷第5期,共12页

基　　金：supported by the National Natural Science Foundation of China(Nos.11071084,11201157,11471125);the Natural Science Foundation of Guangdong Province(No.S2013040013857) 摘　　要：For each real number λ∈ [0, 1], λ-power distributional chaos has been introduced and studied via Furstenberg families recently. The chaoticity gets stronger and stronger as λ varies from 1 to 0, where 1-power distributional chaos is exactly the usual distributional chaos. As a generalization of distributional n-chaos, λ-power distributional n-chaos is defined similarly. Lots of classic results on distributional chaos can be improved to be the versions of λ-power distributional n-chaos accordingly. A practical method for distinguishing 0-power distributional n-chaos is given. A transitive system is constructed to be 0-power distributionally n-chaotic but without any distributionally(n + 1)-scrambled tuples. For each λ∈ [0, 1], λ-power distributional n-chaos can still appear in minimal systems with zero topological entropy. 关键词：功率分布分布混沌最小系统功率分流分布式拓扑熵实数类似

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On λ-Power Distributional n-Chaos

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