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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