This paper investigates the foundations of the view that (i) computation theory is a special branch of dynamical systems theory, and (ii) a computational system is a special kind of discrete dynamical system whose specific property, being computational, can be thought to be intrinsic to the dynamics of the system itself. I give a formal explication of the concept of an intrinsic computational s...

The field of dynamical systems is being transformed by the mathematical tools and algorithms emerging from modern computing data science. First-principles derivations asymptotic reductions are giving way to data-driven approaches that formulate models in operator-theoretic or probabilistic frameworks. Koopman spectral theory has emerged as a dominant perspective over past decade, which nonlinea...

this paper provides a review on major ergodic features of semi-independent hyper mv {algebra dynamical systems. theorems are presentedto make contribution to calculate the entropy. particularly, it is proved that thetotal entropy of those semi-independent hyper mv {algebra dynamical systemsthat have a generator can be calculated with respect to their generator ratherthan considering all the par...