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Description of dynamic systems from the perspective of a network of interactions

 

作者: CLAUDIA PAHL-WOSTL,  

 

期刊: International Journal of Systems Science  (Taylor Available online 1993)
卷期: Volume 24, issue 7  

页码: 1301-1316

 

ISSN:0020-7721

 

年代: 1993

 

DOI:10.1080/00207729308949561

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

The complexity of the dynamic behaviour in non-linear systems depends on the number of state variables involved and on how they are connected. In recent times the description of chaotic behaviour and of strange attractors have been the subject of numerous investigations. Most methods developed for the characterization of dynamic systems are based on the phase space representation. In the approach presented here, however, a system's behaviour is described in terms of the network comprising the interactions among the state variables. Information theoretical methods are introduced to quantify a network's organization along the dimensions of time and of the sign of the interactions. Examples are provided by applying the information measures to a simple network model and to the interaction network derived for the Lorenz equations.

 

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