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

研究成果: Article査読

6 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号023110
ジャーナルChaos
23
2
DOI
出版ステータスPublished - 2013 6
外部発表はい

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 数理物理学
  • 物理学および天文学(全般)
  • 応用数学

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