A difference characteristic for one-dimensional deterministic systems

A. Yu Shahverdian*, Apkar Apkarian

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

A numerical characteristic for one-dimensional deterministic systems reflecting its higher order difference structure is introduced. The comparison with Lyapunov exponent is given. A difference analogy for Eggleston theorem as well as an estimate for Hausdorff dimension of the difference attractor, formulated in terms of the new characteristic is proved.

Original languageEnglish (US)
Pages (from-to)233-242
Number of pages10
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume12
Issue number3
DOIs
StatePublished - Jun 1 2007

Keywords

  • Dynamical systems
  • Hausdorff dimension
  • Lyapunov exponent

ASJC Scopus subject areas

  • Mechanical Engineering
  • Statistical and Nonlinear Physics

Fingerprint Dive into the research topics of 'A difference characteristic for one-dimensional deterministic systems'. Together they form a unique fingerprint.

Cite this