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تسجيل

Topological Entropy

المؤلف:  Ott, E.

المصدر:  Chaos in Dynamical Systems. New York: Cambridge University Press

الجزء والصفحة:  pp. 143-144

21-5-2021

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Topological Entropy

The topological entropy of a map  is defined as

{W_i})h(M,{W_i}), " src="https://mathworld.wolfram.com/images/equations/TopologicalEntropy/NumberedEquation1.gif" style="height:30px; width:145px" />

where {W_i}" src="https://mathworld.wolfram.com/images/equations/TopologicalEntropy/Inline2.gif" style="height:15px; width:25px" /> is a partition of a bounded region  containing a probability measure which is invariant under , and sup is the supremum.

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REFERENCES:

Ott, E. Chaos in Dynamical Systems. New York: Cambridge University Press, pp. 143-144, 1993.