期刊
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
卷 22, 期 11, 页码 1747-1759出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/10236198.2016.1243104
关键词
Chaos; non-autonomous discrete system; weak coupled-expansion; coupled-expansion
资金
- NNSF of China [11571202]
- Young and Middle-Aged Scientists Research Awards Foundation of Shangdong Province, China [BS2013SF029]
- A Project of Shandong Province Higher Educational Science and Technology Program, China [J15LI04]
- Research Foundation for Advanced Talents of Ludong University, China [LY2012015]
This paper focuses on chaos induced by weak A-coupled-expansion of non-autonomous discrete systems in compact subsets of metric spaces and in bounded and closed subsets of complete metric spaces, separately. A new concept of weak A-coupled-expansion for non-autonomous discrete systems, whose condition is weaker than that of A-coupled-expansion, is introduced, and several new criteria of chaos induced by weak A-coupled-expansion of non-autonomous discrete systems are established. By applying some close relationships between chaotic dynamical behaviours of the original system and its induced systems, two criteria of chaos are established. One example is provided for illustration.
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