PROXIMAL AND SYNDETICAL PROPERTIES IN NONAUTONOMOUS DISCRETE SYSTEMS

Tianxiu Lu; Guanrong Chen

doi:10.11948/2017007

2017 Volume 7 Issue 1

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Tianxiu Lu, Guanrong Chen. PROXIMAL AND SYNDETICAL PROPERTIES IN NONAUTONOMOUS DISCRETE SYSTEMS[J]. Journal of Applied Analysis & Computation, 2017, 7(1): 92-101. doi: 10.11948/2017007

Citation:

Tianxiu Lu, Guanrong Chen. PROXIMAL AND SYNDETICAL PROPERTIES IN NONAUTONOMOUS DISCRETE SYSTEMS[J]. Journal of Applied Analysis & Computation, 2017, 7(1): 92-101. doi: 10.11948/2017007

PROXIMAL AND SYNDETICAL PROPERTIES IN NONAUTONOMOUS DISCRETE SYSTEMS

Tianxiu Lu^1,3,
Guanrong Chen²

1 Department of Mathematics, Sichuan University of Science and Engineering, Huixing Road, 643000 Zigong, China;
2 Department of Electronic Engineering, City University of Hong Kong, Tat Chee Avenue, 999077 Hong Kong SAR, China;
3 Artificial Intelligence Key Laboratory of Sichuan Province, Huixing Road, 643000 Zigong, China

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Abstract

Abstract

This paper is mainly concerned with a class of nonautonomous discrete systems (X,f_1,∞). New definitions of proximity relations and sensitivity in nonautonomous discrete systems are given. Some relations among P(f_1,∞), L(f_1,∞), R(f_1,∞), S(f_1,∞) and P(f_1,∞)(x) are derived. And some chaotic properties of f_1,∞ are proved.
- Nonautonomous discrete system /
- proximity /
- syndeticity /
- sensitivity
MSC: 37B55;37D45;54H20

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References

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