Multi-affinity and Phase Sensitivity of Strange Nonchaotic Attractors

Multi-affinity and Phase Sensitivity of Strange Nonchaotic Attractors

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 pha...

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Bibliographic Details
Published in:Journal of the Physical Society of Japan Vol. 87; no. 2; p. 1
Main Authors: Takahashi, Noi, Chawanya, Tsuyoshi, Aizawa, Yoji
Format: Journal Article
Language:English
Published: Tokyo The Physical Society of Japan 15-02-2018
Subjects:
Affinity
Mathematics
Phase transitions
Physics
Scaling
Sensitivity
Sensitivity analysis
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Summary: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.
ISSN:0031-9015
1347-4073