Mutual information rate and bounds for it.
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 define...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Public Library of Science (PLoS)
2012-01-01
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| Series: | PLoS ONE |
| Online Access: | http://europepmc.org/articles/PMC3480398?pdf=render |
| _version_ | 1828200333075021824 |
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| author | Murilo S Baptista Rero M Rubinger Emilson R Viana José C Sartorelli Ulrich Parlitz Celso Grebogi |
| author_facet | Murilo S Baptista Rero M Rubinger Emilson R Viana José C Sartorelli Ulrich Parlitz Celso Grebogi |
| author_sort | Murilo S Baptista |
| collection | DOAJ |
| description | 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 simple alternative way to calculate the MIR in dynamical (deterministic) networks or between two time series (not fully deterministic), and to calculate its upper and lower bounds without having to calculate probabilities, but rather in terms of well known and well defined quantities in dynamical systems. As possible applications of our bounds, we study the relationship between synchronisation and the exchange of information in a system of two coupled maps and in experimental networks of coupled oscillators. |
| first_indexed | 2024-04-12T11:12:28Z |
| format | Article |
| id | doaj.art-9a5b4d03748348d99300c2382af110b7 |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-04-12T11:12:28Z |
| publishDate | 2012-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-9a5b4d03748348d99300c2382af110b72022-12-22T03:35:35ZengPublic Library of Science (PLoS)PLoS ONE1932-62032012-01-01710e4674510.1371/journal.pone.0046745Mutual information rate and bounds for it.Murilo S BaptistaRero M RubingerEmilson R VianaJosé C SartorelliUlrich ParlitzCelso GrebogiThe 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 simple alternative way to calculate the MIR in dynamical (deterministic) networks or between two time series (not fully deterministic), and to calculate its upper and lower bounds without having to calculate probabilities, but rather in terms of well known and well defined quantities in dynamical systems. As possible applications of our bounds, we study the relationship between synchronisation and the exchange of information in a system of two coupled maps and in experimental networks of coupled oscillators.http://europepmc.org/articles/PMC3480398?pdf=render |
| spellingShingle | Murilo S Baptista Rero M Rubinger Emilson R Viana José C Sartorelli Ulrich Parlitz Celso Grebogi Mutual information rate and bounds for it. PLoS ONE |
| title | Mutual information rate and bounds for it. |
| title_full | Mutual information rate and bounds for it. |
| title_fullStr | Mutual information rate and bounds for it. |
| title_full_unstemmed | Mutual information rate and bounds for it. |
| title_short | Mutual information rate and bounds for it. |
| title_sort | mutual information rate and bounds for it |
| url | http://europepmc.org/articles/PMC3480398?pdf=render |
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