Experimental distinction between chaotic and strange nonchaotic attractors on the basis of consistency

Seiji Uenohara, Takahito Mitsui, Yoshito Hirata, Takashi Morie, Yoshihiko Horio, Kazuyuki Aihara

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

We experimentally study strange nonchaotic attractors (SNAs) and chaotic attractors by using a nonlinear integrated circuit driven by a quasiperiodic input signal. An SNA is a geometrically strange attractor for which typical orbits have nonpositive Lyapunov exponents. It is a difficult problem to distinguish between SNAs and chaotic attractors experimentally. If a system has an SNA as a unique attractor, the system produces an identical response to a repeated quasiperiodic signal, regardless of the initial conditions, after a certain transient time. Such reproducibility of response outputs is called consistency. On the other hand, if the attractor is chaotic, the consistency is low owing to the sensitive dependence on initial conditions. In this paper, we analyze the experimental data for distinguishing between SNAs and chaotic attractors on the basis of the consistency.

Original languageEnglish
Article number023110
JournalChaos
Volume23
Issue number2
DOIs
Publication statusPublished - 2013 Jun
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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