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A class of Furstenberg families and their applications to chaotic dynamics |
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| Authors: | JinCheng Xiong HeMan Fu HuoYun Wang |
| Affiliation: | 1. School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, China 2. School of Mathematics and Information Sciences, Zhaoqing University, Zhaoqing, 526061, China 3. Department of Mathematics, Guangzhou University, Guangzhou, 510006, China |
| Abstract: | 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. |
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