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| 1 | A class of Furstenberg families and their applications to chaotic dynamics显示文摘For each sequence of positive real numbers,tending to positive infinity,a Furstenberg family is defined.All these Furstenberg families are compatible with dynamical systems.Then,chaos with respect to such Furstenberg families are intently discussed.This greatly improves some classical results of distributional chaos.To confirm the effectiveness of these improvements,the relevant examples are provided finally. | XIONG JinCheng FU HeMan WANG HuoYun | 2014 | Science China Mathematics2014，57，4： | 2 |
| 2 | Chaos and null systems显示文摘A dynamical system is called a null system, if the topological sequence entropy along any strictly increasing sequence of non-negative integers is 0. Let 0≦p≦q≦1. A dynamical system is Dqp chaotic, if there is an uncountable subset in which any two different points have trajectory approaching time set with lower density p and upper density q. In this paper, we show that there is a null system which is also D3/41/4 chaotic. | WANG HuoYun LIU Xin FU HeMan | 2013 | Science China Mathematics2013，56，3： | 2 |
| 3 | Sensitivity and chaos of semigroup actions显示文摘 | Huoyun Wang Xiongwu Long Heman Fu | 2012 | Semigroup Forum2012，，1： | 1 |
| 4 | On λ-Power Distributional n-Chaos显示文摘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. | Heman FU Feng TAN | 2017 | Chinese Annals of Mathematics,Series B2017，38，5： | 0 |
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