Laminar Chaos

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...

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Bibliographic Details
Published in:Physical review letters Vol. 120; no. 8; p. 084102
Main Authors: Müller, David, Otto, Andreas, Radons, Günter
Format: Journal Article
Language:English
Published: United States American Physical Society 23-02-2018
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Summary: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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ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.120.084102