Analysis of self-equilibrated networks through cellular modelling

  title={Analysis of self-equilibrated networks through cellular modelling},
  author={Omar Aloui and David Orden and Nizar Bel Hadj Ali and Landolf Rhode-Barbarigos},
  journal={Proceedings of the Royal Society A},
Network equilibrium models represent a versatile tool for the analysis of interconnected objects and their relationships. They have been widely employed in both science and engineering to study the behaviour of complex systems under various conditions, including external perturbations and damage. In this paper, network equilibrium models are revisited through graph-theory laws and attributes with special focus on systems that can sustain equilibrium in the absence of external perturbations… 



On network models and the symbolic solution of network equations

An overview of the formulation and solution of network equations, with emphasis on the historical development in this area of work, is given.

Cellular morphogenesis of three-dimensional tensegrity structures

On the Regulation of Networks as Complex Systems: A Graph Theory Approach

A new regulatory framework based on the discipline of mathematics known as graph theory is proposed, which better captures the extent to which networks represent complex systems and has the potential to revolutionize network policy.

Network topology of a potential energy landscape: a static scale-free network.

  • J. Doye
  • Physics
    Physical review letters
  • 2002
The topology of the network formed by the minima and transition states on the potential energy landscape of small clusters is analyzed and it is found that this network has both a small-world and scale-free character.

An application of algebraic topology: Kron’s method of tearing

It is well known that an important class of problems in numerical analysis can be interpreted as "electrical" network problems [I, 2, 3]. These analogues have formed the basis of many analogue and…

Complex Networks Theory: A New Method of Research in Power Grid

  • Ke Sun
  • Physics
    2005 IEEE/PES Transmission & Distribution Conference & Exposition: Asia and Pacific
  • 2005
The rapid development of complex network theory provide a new insight into the research of interconnected complex power grid and the mechanism and the model of cascading failure in power grid are successively discussed.

Network-Oriented Modeling for Adaptive Networks: Designing Higher-Order Adaptive Biological, Mental and Social Network Models

  • Jan Treur
  • Computer Science
    Studies in Systems, Decision and Control
  • 2020
This book presents an overall Network-Oriented Modeling approach by which designing adaptive network models becomes much easier, as also the adaptation process is modeled in a neat, declarative and conceptually transparent network-oriented manner, like the network itself.