Multi-affinity and Phase Sensitivity of Strange Nonchaotic Attractors

書誌事項

公開日
2018-02
資源種別
journal article
DOI
  • 10.7566/jpsj.87.024003
公開者
Tokyo : Physical Society of Japan

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説明

We study the multi-affinity and phase sensitivity of strange nonchaotic attractors (SNAs) in quasiperiodically driven systems and show that the q-dependent scaling exponent η(q), which determines the scaling of the qth correlation function of the height differences of the graph of SNAs, exhibits phase-transition-like behaviors. Furthermore, we derive hyperscaling relations, which connect two kinds of exponents characterizing the phase sensitivity and multi-affinity. We point out that these hyperscaling laws seem to be universal in SNAs.

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