articlePhysical Review LettersJul 17, 2003Closed access

Chaotic Dynamics of the Fractional Lorenz System

Freie Universität Berlin · Irkutsk State University

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Abstract

In this Letter we introduce a generalization of the Lorenz dynamical system using fractional derivatives. Thus, the system can have an effective noninteger dimension Sigma defined as a sum of the orders of all involved derivatives. We found that the system with Sigma

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Authors

2

Topics & keywords

Keywords
  • Chaotic
  • Lorenz system
  • Generalization
  • Dimension (graph theory)
  • Sigma
  • Statistical physics
  • Physics
  • Mathematical physics
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