Discrete dynamical systems embedded in Cantor sets
Por:
Benatti F., Verjovsky A., Zertuche F.
Publicada:
1 ene 2006
Resumen:
While the notion of chaos is well established for dynamical systems on manifolds, it is not so for dynamical systems over discrete spaces with N variables, as binary neural networks and cellular automata. The main difficulty is the choice of a suitable topology to study the limit N??. By embedding the discrete phase space into a Cantor set we provided a natural setting to define topological entropy and Lyapunov exponents through the concept of error profile. We made explicit calculations both numerical and analytic for well-known discrete dynamical models. © 2006 American Institute of Physics.
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