# Entropy operator for continuous dynamical systems of finite topological entropy

Document Type : Research Paper

Authors

Amirkabir University of technology

Abstract

In this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. It is shown that it generates the Kolmogorov entropy as a special case. If $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.

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### History

• Receive Date: 09 October 2011
• Revise Date: 05 March 2011
• Accept Date: 05 March 2011
• First Publish Date: 15 December 2012