【摘要】 研究了逆极限空间上诱导映射的等度连续性(弱specification,mild混合)与完全混沌.证明了(1)诱导映射g∞是等度连续的(弱specification,mild混合)当且仅当对i∈N,原映射gi是等度连续的(弱specification,mild混合);(2)如果对任意的i∈N,原映射gi都为完全混沌,则诱导映射g∞为完全混沌.但其逆命题不成立.更多还原

【Abstract】 In this paper, we mainly discuss the dynamical properties of the induced map g_∞ on the inverse limit space X_∞.(1) g_∞ is equicontinuous (weak specification ,mild mixing)if and only if for each i∈N,g_i is equicontinuous (weak specification, mild mixing).(2) If for each i∈N, g_i is complete chaos, then g_∞ is complete chaos. However, the converse is not true.更多还原