2022/02/16 by Tony Albers, David Müller-Bender, Lukas Hille +1 · 18 citations
Computer Science · Physics and Astronomy · #Chaos control and synchronization #Chaotic #Constant (computer programming) #Diffusion #Intermittency #Lag #Lag time #Laminar flow #Modulation (music) #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #Time lag #nlin.CD
paper · pdf · doi:10.1103/physrevlett.128.074101
published in Physical Review Letters 128(7), 074101 (American Physical Society) · 7 pages, 3 figures; added single word in the abstract
openalex publication_date 2022/02/16 · openalex created_date 2022/02/24 · arxiv created 2022/03/01 · arxiv updated 2022/03/02 · openalex updated_date 2026/08/05
We consider a typical class of systems with delayed nonlinearity, which we show to exhibit chaotic diffusion. It is demonstrated that a periodic modulation of the time-lag can lead to an enhancement of the diffusion constant by several orders of magnitude. This effect is the largest if the circle map defined by the modulation shows mode locking and more specifically, fulfills the conditions for laminar chaos. Thus we establish for the first time a connection between Arnold tongue structures in parameter space and diffusive properties of a delay system. Counterintuitively, the enhancement of diffusion is accompanied by a strong reduction of the effective dimensionality of the system.