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Laminar Chaos

2022/02/21 by David Müller, Andreas Otto, Günter Radons · 1 citation
Physics and Astronomy · #nlin.CD

paper · pdf · doi:10.1103/physrevlett.120.084102

published as Phys. Rev. Lett. 120, 084102 (2018) · 6 pages, 4 figures

arxiv created 2022/02/21 · arxiv updated 2022/02/22

Abstract

We show that the output of systems with time-varying delay can exhibit a new kind of chaotic behavior characterized by laminar phases, which are periodically interrupted by irregular bursts. Within each laminar phase the output intensity remains almost constant, but its level varies chaotically from phase to phase. In scalar systems the periodic dynamics of the lengths and the chaotic dynamics of the intensity levels can be understood and also tuned via two one-dimensional maps, which can be deduced from the nonlinearity of the delay equation and from the delay variation, respectively.

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