mutual information rate and bounds for it互信息速率和范围.pdfVIP

Mutual Information Rate and Bounds for It 1 2 3 ´ 4 5,6 Murilo S. Baptista *, Rero M. Rubinger , Emilson R. Viana , Jose C. Sartorelli , Ulrich Parlitz , Celso Grebogi1,7 1 Institute for Complex Systems and Mathematical Biology, Scottish Universities Physics Alliance, University of Aberdeen, Aberdeen, United Kingdom, 2 Institute of Physics ´ ´ ˆ and Chemistry, Federal University of Itajuba, Itajuba, Brazil, 3 Instituto de Ciencias Exatas, Departamento de F sica, Universidade Federal de Minas Gerais, Belo Horizonte, ˜ ˜ ¨ Brazil, 4 Institute of Physics, University of Sao Paulo, Sao Paulo, Brazil, 5 Biomedical Physics Group, Max Planck Institute for Dynamics and Self-Organization, Gottingen, ¨ ¨ ¨ Germany, 6 Institute for Nonlinear Dynamics, Georg-August-Universitat Gottingen, Gottingen, Germany, 7 Freiburg Institute for Advanced Studies, University of Freiburg, Freiburg, Germany Abstract The amount of information exchanged per unit of time between two nodes in a dynamical network or between two data sets is a powerful concept for analysing complex systems. This quantity, known as the mutual information rate (MIR), is calculated from the mutual information, which is rigorously defined only for random systems. Moreover, the definition of mutual information is based on probabilities of significant events. This work offers a si