How Can We Observe and Describe Chaos?

Authors:
Andrzej Kossakowski;Masanori Ohya;Yoshio Togawa
Affiliations:
Institute of Physics, N. Copernicus University, Grudzi\'cadzka 5, 87-100 Toruń, Poland;Department of Information Sciences, Tokyo University of Science, Noda City, Chiba 278-8510, Japan;Department of Information Sciences, Tokyo University of Science, Noda City, Chiba 278-8510, Japan
Venue:
Open Systems & Information Dynamics
Year:
2003

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Abstract

We propose a new approach to define chaos in dynamical systems from the point of view of Information Dynamics. Observation of chaos in reality depends upon how to observe it, for instance, how to take the scale in space and time. Therefore it is natural to abandon taking several mathematical limiting procedures. We take account of them, and chaos degree previously introduced is redefined in this paper.