摘要
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 classica results of distributional chaos.To confirm the effectiveness of these improvements,the relevant examples are provided finally.
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.
基金
supported by National Natural Science Foundation of China(Grant Nos.11071084 and 11026095)
Natural Science Foundation of Guangdong Province(Grant No.10451063101006332)
the Foundation for Distinguished Young Talents in Higher Education of Guangdong Province(Grant No.2012LYM 0133)
Scientific Technology Planning of Guangzhou Education Bureau(Grant No.2012A075)
