title: Devaney chaos plus shadowing implies distributional chaos.
abstract: We explore connections among the regional proximal relation, the asymptotic relation, and the distal relation for a topological dynamical system with the shadowing property and show that if a Devaney chaotic system has the shadowing property then it is distributionally chaotic.
authors: Department of Mathematics, Shantou University, Shantou 515063, Guangdong, People's Republic of China.
authors: Jian
authors: J
authors: Li
authors: Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People's Republic of China and School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China.
authors: Jie
authors: J
authors: Li
authors: Centro de Modelamiento Matematico, Universidad de Chile, Av. Beauchef 851, Piso 7, Santiago de Chile, Chile.
authors: Siming
authors: S
authors: Tu