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

P. Muruganandam () and M. Senthilvelan
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P. Muruganandam: Bharathidasan University
M. Senthilvelan: Bharathidasan University

The European Physical Journal B: Condensed Matter and Complex Systems, 2022, vol. 95, issue 8, 1-15

Abstract: 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

Date: 2022
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DOI: 10.1140/epjb/s10051-022-00390-1

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