Abstract We bound the number of distinct minimal subsystems a given transitive subshift linear complexity, continuing work Ormes and Pavlov [On complexity function for sequences which are not uniformly recurrent. Dynamical Systems Random Processes (Contemporary Mathematics, 736) . American Mathematical Society, Providence, RI, 2019, pp. 125--137]. also generic measures such can support based on...

In this paper, we investigate team optimal control of coupled major-minor subsystems with mean-field sharing. In such a model, there is one major subsystem that directly influences the dynamics of n homogeneous minor subsystems; however, the minor subsystems influence the dynamics of the major subsystem and each other only through their mean behaviour (indirectly). In this model, the major and ...