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Manifestation of strange nonchaotic attractors in extended systems: a study through out-of-time-ordered correlators

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  • P. Muruganandam

    (Bharathidasan University)

  • M. Senthilvelan

    (Bharathidasan University)

Abstract

We study the spatial spread of out-of-time-ordered correlators (OTOCs) in coupled map lattices (CMLs) of quasiperiodically forced nonlinear maps. We use instantaneous speed (IS) and finite-time Lyapunov exponents (FTLEs) to investigate the role of strange non-chaotic attractors (SNAs) on the spatial spread of the OTOC. We find that these CMLs exhibit a characteristic on and off type of spread of the OTOC for SNA. Further, we provide a broad spectrum of the various dynamical regimes in a two-parameter phase diagram using IS and FTLEs. We substantiate our results by confirming the presence of SNA using established tools and measures, namely the distribution of finite-time Lyapunov exponents, phase sensitivity, spectrum of partial Fourier sums, and 0–1 test. Graphic Abstract

Suggested Citation

  • P. Muruganandam & M. Senthilvelan, 2022. "Manifestation of strange nonchaotic attractors in extended systems: a study through out-of-time-ordered correlators," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(8), pages 1-15, August.
    • Handle: RePEc:spr:eurphb:v:95:y:2022:i:8:d:10.1140_epjb_s10051-022-00390-1
    DOI: 10.1140/epjb/s10051-022-00390-1
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