集值映射下Packing熵的变分原理  

V ariational principles of Packing topological entropies for set-valued maps

作　　者：王威 吴晶晶 WANG Wei;WU Jingjing(School of General Education,Nantong Institute of Technology,Nantong 226002,China)

机构地区：[1]南通理工学院基础教学学院,江苏南通226002

出　　处：《安徽大学学报（自然科学版）》2023年第5期8-14,共7页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金面上项目(11971236);南通理工学院中青年骨干教师科研基金资助项目(ZQNGGJS202135)。

摘　　要：为了丰富动力系统中熵理论的研究,在度量空间中定义了半度量函数dn,并引入集值映射,在该条件下定义子集上Packing拓扑熵,得到子集上Parking拓扑熵的变分原理为h^(P)_(top)(f,K)=sup{h_(μ)(f):μ∈M(X),μ(K)=1},其中h^(P)_(top)(f,K)是集合K的Packing拓扑熵.In order to enrich the study of entropy theory in dynamical systems,the semi metric function d.was defined in the metric space.The set-valued mapping was introduced.Under this condition,the packing topological entropy on the subset was defined,and the variational principle of the parking topological entropy on the subset was obtained,i.e.h^(P)_(top)(f,K)=sup{h_(μ)(f):μ∈M(X),μ(K)=1},where h^(P)_(top)(f,K)was packing topological entropy of K.

关 键 词：集值映射 Packing熵 变分原理 

分 类 号：O189[理学—数学]