On the Modelling of Complex Systems - Methodologies and Applications

This paper provides an overview of some of the techniques and methodologies utilized in the modelling of complex systems that involve many interacting components with different physical properties over different spatial and temporal scales. Such systems are difficult to resolve, since they exhibit high levels of uncertainty. We discuss modelling strategies and present some applications from the field of complex system modelling.

[1]  D. L. Parnas,et al.  On the criteria to be used in decomposing systems into modules , 1972, Software Pioneers.

[2]  Adrian V. Gheorghe,et al.  Forest fire essentials: a cellular automaton-wise, percolation-oriented model , 2008, Int. J. Crit. Infrastructures.

[3]  David Harel,et al.  Statecharts: A Visual Formalism for Complex Systems , 1987, Sci. Comput. Program..

[4]  Guido Caldarelli,et al.  A networked world , 2010 .

[5]  Pierre Chapelle,et al.  A hybrid numerical model for predicting segregation during core flow discharge , 2006 .

[6]  D. Acheson,et al.  From Calculus to Chaos: An Introduction to Dynamics , 1998 .

[7]  Carlos Gershenson,et al.  Computing networks: A general framework to contrast neural and swarm cognitions , 2010, Paladyn J. Behav. Robotics.

[8]  Michael S.A. Bradley,et al.  Assessing the potential of a fine powder to segregate using laser diffraction and sieve particle size measuring techniques , 2003 .

[9]  Yaneer Bar-Yam,et al.  Dynamics Of Complex Systems , 2019 .

[10]  Albert-László Barabási,et al.  Understanding individual human mobility patterns , 2008, Nature.

[11]  Julio M Ottino,et al.  Unsteady granular flows in a rotating tumbler. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  H. Abou-Chakra,et al.  A DEM simulation and experimental strategy for solving fine powder flow problems , 2000 .

[13]  Charles M. Macal,et al.  Managing Business Complexity: Discovering Strategic Solutions with Agent-Based Modeling and Simulation , 2007 .

[14]  Carlos Gershenson,et al.  Computing Networks: A General Framework to Contrast Neural and Swarm Architectures , 2010, ArXiv.

[15]  Stephen Wolfram,et al.  A New Kind of Science , 2003, Artificial Life.

[16]  P. A. Langston,et al.  Discrete element simulation of internal stress and flow fields in funnel flow hoppers , 1995 .

[17]  Nicholas Christakis,et al.  Predictions of segregation of granular material with the aid of PHYSICA, a 3‐D unstructured finite‐volume modelling framework , 2002 .

[18]  J. Ottino.  Foundations for Complex Systems Research in the Physical Sciences and Engineering Report from an , 2009 .

[19]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[20]  John von Neumann,et al.  Theory Of Self Reproducing Automata , 1967 .

[21]  Mark Cross,et al.  Micro-mechanical parameterisations for continuum modellingof granular material using the discrete element method , 2002 .

[22]  J Baxter,et al.  Application of simulation technologies in the analysis of granular material behaviour during transport and storage , 2005 .

[23]  Marek Klisinski,et al.  Finite element simulation of granular material flow in plane silos with complicated geometry , 1998 .

[24]  Frisch,et al.  Lattice gas automata for the Navier-Stokes equations. a new approach to hydrodynamics and turbulence , 1989 .

[25]  J. Sterman.  Learning in and about complex systems , 1994 .

[26]  Gabriel I. Tardos,et al.  A fluid mechanistic approach to slow, frictional flow of powders , 1997 .

[27]  Nicholas Christakis,et al.  An Analytical Description of the Frictional Behaviour of a Titanium Alloy , 2007 .

[28]  Hermann Haken,et al.  Information and Self-Organization: A Macroscopic Approach to Complex Systems , 2010 .

[29]  T. Schelling.  Micromotives and Macrobehavior , 1978 .

[30]  Y. Pomeau,et al.  Lattice-gas automata for the Navier-Stokes equation. , 1986, Physical review letters.

[31]  Mark J. Kushner,et al.  Hybrid modelling of low temperature plasmas for fundamental investigations and equipment design , 2009 .

[32]  Mike Mannion,et al.  Complex systems , 1997, Proceedings International Conference and Workshop on Engineering of Computer-Based Systems.

[33]  Charles M. Macal,et al.  Managing Business Complexity: Discovering Strategic Solutions with Agent-Based Modeling and Simulation , 2007 .

[34]  Peter Dorn.  Self-Organised Criticality in Cellular Automata , .

[35]  Julio M. Ottino,et al.  Granular matter as a window into collective systems far from equilibrium, complexity, and scientific prematurity , 2006 .

[36]  Paul W. Cleary,et al.  DEM modelling of industrial granular flows: 3D case studies and the effect of particle shape on hopper discharge , 2002 .

[37]  Carlos Gershenson,et al.  Self-organizing Traffic Lights , 2004, Complex Syst..

[38]  W. Weaver.  Science and complexity. , 1948, American scientist.

[39]  HERBERT A. SIMON,et al.  The Architecture of Complexity , 1991 .

[40]  Cosma Rohilla Shalizi,et al.  Methods and Techniques of Complex Systems Science: An Overview , 2003, nlin/0307015.

[41]  L. Tesfatsion.  Agent-based computational economics : A constructive approach to economic theory , 2006 .

[42]  M. Schreckenberg.  Modeling Complex Systems , 2004 .

[43]  D. Larsen-Freeman,et al.  Complex Systems and Applied Linguistics , 2008 .

[44]  J. Baxter,et al.  Granular dynamics simulations of two-dimensional heap formation , 1997 .