, Volume 204, Issue 2, pp 425-437

Algebraic Entropy

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Abstract:

For any discrete time dynamical system with a rational evolution, we define an entropy, which is a global index of complexity for the evolution map. We analyze its basic properties and its relations to the singularities and the irreversibility of the map. We indicate how it can be exactly calculated.

Received: 20 May 1998 / Accepted: 2 February 1999