Reference Work Entry

Encyclopedia of Complexity and Systems Science

pp 4920-4930

Intermittency and Localization

  • Gur YaariAffiliated withInstitute for Scientific InterchangeRacah Institute of Physics, Hebrew University
  • , Dietrich StaufferAffiliated withRacah Institute of Physics, Hebrew UniversityInstitute for Theoretical Physics, Cologne University
  • , Sorin SolomonAffiliated withInstitute for Scientific InterchangeRacah Institute of Physics, Hebrew University

Definition of the Subject

In this paper, we show how simple logistic growth that was studied intensively during the last 200 years in many domains of science could be extended in a rather simple way. The resulting extended model has, among other features, two very important ones: Intermittency and Localization. These features were observed repeatedly along the history of science in an enormous number of real‐life systems in economics, sociology, biology, ecology and more. We suggest by this a unified theoretical umbrella that might serve in a surprising way many scientific disciplines who share similar observed patterns.

Introduction

A well known joke that many physicists like to tell during their talks in order to demonstrate the strength of simplifying the problem one has in hand is: “First, let us consider a spherical cow…”. Although, no one really believes in spherical cows – the power of simplification is well accepted and appreciated by the physics community ...

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