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6914 results in Algorithmics, Complexity, Computer Algebra, Computational Geometry

Page 40 of 346

  • 14 - Concluding Comments and a Look to the Future

  • from II - Mathematical Tools of Complexity Science
  • Henrik Jeldtoft Jensen, Imperial College London
  • Book:
    Complexity Science
    Published online:
    13 December 2022
    Print publication:
    17 November 2022, pp 397-400

  • Summary

    We point out that complexity science is developing fast and that present and future scientific and societal challenges will need fundamental improvements in our ability to analyse and deal with complex emergent behaviour. It is therefore desirable to spread widely the awareness of approaches and insights from complexity science.

  • 4 - The Value of Prototypical Models of Emergence

  • from I - Conceptual Foundation of Complexity Science
  • Henrik Jeldtoft Jensen, Imperial College London
  • Book:
    Complexity Science
    Published online:
    13 December 2022
    Print publication:
    17 November 2022, pp 75-86

  • Summary

    Conceptual and mathematical models can serve many purposes. We will discuss why simple stylistic models are particularly useful in complexity science since they can help to identify the most essential mechanisms amongst the profusion of interdependencies at play.

  • 7 - Synchronisation

  • from II - Mathematical Tools of Complexity Science
  • Henrik Jeldtoft Jensen, Imperial College London
  • Book:
    Complexity Science
    Published online:
    13 December 2022
    Print publication:
    17 November 2022, pp 163-176

  • Summary

    When interactions between individual dynamical components are sufficiently strong, coordinated dynamics at the systemic level can emerge. This is called synchronisation.

  • 3 - Specific Types of Emergent Behaviour

  • from I - Conceptual Foundation of Complexity Science
  • Henrik Jeldtoft Jensen, Imperial College London
  • Book:
    Complexity Science
    Published online:
    13 December 2022
    Print publication:
    17 November 2022, pp 46-74

  • Summary

    We present a few paradigmatic modelling strategies selected due to their generality in addressing the emergence of spatio-temporal structure, including criticality, synchronisation, intermittency, adaptation and forecasting.

  • I - Conceptual Foundation of Complexity Science

  • Henrik Jeldtoft Jensen, Imperial College London
  • Book:
    Complexity Science
    Published online:
    13 December 2022
    Print publication:
    17 November 2022, pp 1-86

  • Summary

    The chapters of Part I will discuss why complexity science is important, how this science relates to other sciences and also a little bit about its philosophical status. The aim is to make clear what makes complexity science special and in which way it contributes to our understanding of the surrounding world.

  • 12 - Intermittency

  • from II - Mathematical Tools of Complexity Science
  • Henrik Jeldtoft Jensen, Imperial College London
  • Book:
    Complexity Science
    Published online:
    13 December 2022
    Print publication:
    17 November 2022, pp 356-386

  • Summary

    We discuss high and low-dimensional, as well as stationary and non-stationary, mathematical formalisms leading to intermittent dynamics.

  • 5 - Branching Processes

  • from II - Mathematical Tools of Complexity Science
  • Henrik Jeldtoft Jensen, Imperial College London
  • Book:
    Complexity Science
    Published online:
    13 December 2022
    Print publication:
    17 November 2022, pp 93-109

  • Summary

    The process of entities successively splitting into two or more is of great relevance: biological reproduction, infection spreading, rumour spreading, nuclear reactions and much more.

Page 40 of 346