Evolving dynamical networks: A formalism for describing complex systems |
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Authors: | Thomas E. Gorochowski Mario Di Bernardo Claire S. Grierson |
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Affiliation: | 1. Bristol Centre for Complexity Sciences, Department of Engineering Mathematics, University of Bristol, Bristol BS8 1TR, United Kingdom;2. Department of Engineering Mathematics, University of Bristol, Bristol BS8 1TR, United Kingdom;3. Department of Systems and Computer Sciences, University of Naples Federico II, Via Clandio 21, 80125 Napoli, Italy;4. School of Biological Sciences,University of Bristol, Bristol, BS8 1UG,United Kingdom |
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Abstract: | We introduce a comprehensive formalism called an Evolving Dynamical Network (EDN) that aims to provide a common description for many types of complex system in applied science and engineering. We expand the currently available formalisms and define a new modeling framework able to incorporate network topology, dynamics, and evolution in an integrated way. Although the main focus is to provide a common framework, we find that evolving dynamical networks also highlight several interesting implications regarding possible control mechanisms for complex systems. A physical example is used throughout to illustrate the advantages and limitations of the various approaches described in the article. © 2011 Wiley Periodicals, Inc. Complexity, 2011 |
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Keywords: | complex systems network dynamics network evolution |
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