Hausdorff dimension of repellors in low sensitive systems

A. E. Motter, P. S. Letelier

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

Methods to estimate the Hausdorff dimension of invariant sets of scattering systems are presented. Based on the levels' hierarchical structure of the time delay function, these techniques can be used in systems whose future-invariant-set codimensions are approximately equal to or greater than one. The discussion is illustrated by a numerical example of a scatterer built with four hard spheres located at the vertices of a regular tetrahedron. (C) 2000 Elsevier Science B.V.

Original languageEnglish (US)
Pages (from-to)18-24
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume277
Issue number1
DOIs
StatePublished - Nov 13 2000

Keywords

  • Chaotic scattering
  • Fractal
  • Hausdorff dimension
  • Repellor

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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