PROXIMAL AND SYNDETICAL PROPERTIES IN NONAUTONOMOUS DISCRETE SYSTEMS

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.