Laminar Chaos

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.

arXiv comment6 pages, 4 figures

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• Laminar Chaos in experiments and nonlinear delayed Langevin equations: A time series analysis toolbox for the detection of Laminar Chaos
• Laminar chaos in systems with quasiperiodic delay
• Pseudo-laminar chaos from on-off intermittency
• Orbit quantization in a retarded harmonic oscillator
• Anti-persistent random walks in time-delayed systems
• Non-Brownian diffusion and chaotic rheology of autophoretic disks
• Mapping dynamical systems with distributed time delays to sets of ordinary differential equations
• Synge's dynamic problem for two isolated point charges. A new method to find global solutions for Functional Differential Equations System
• Suppression of Quasiperiodicity in Circle Maps with Quenched Disorder