Dynamical Systems on Monoids. Toward a General Theory of Deterministic Systems and Motion

@inproceedings{Giunti2012DynamicalSO,
  title={Dynamical Systems on Monoids. Toward a General Theory of Deterministic Systems and Motion},
  author={Marco Giunti and C. Porrello Margherita Mazzola},
  year={2012}
}
Dynamical systems are mathematical structures whose aim is to describe the evolution of an arbitrary deterministic system through time, which is typically modeled as (a subset of) the integers or the real numbers. We show that it is possible to generalize the standard notion of a dynamical system, so that its time dimension is only required to possess the algebraic structure of a monoid: first, we endow any dynamical system with an associated graph and, second, we prove that such a graph is a… CONTINUE READING

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