Laminar chaos in systems with quasiperiodic delay
D Müller-Bender, G Radons - Physical Review E, 2023 - APS
A type of chaos called laminar chaos was found in singularly perturbed dynamical systems
with periodic time-varying delay [Phys. Rev. Lett. 120, 084102 (2018)] 0031-9007 …
with periodic time-varying delay [Phys. Rev. Lett. 120, 084102 (2018)] 0031-9007 …
Pseudolaminar chaos from on-off intermittency
In finite-dimensional, chaotic, Lorenz-like wave-particle dynamical systems one can find
diffusive trajectories, which share their appearance with that of laminar chaotic diffusion …
diffusive trajectories, which share their appearance with that of laminar chaotic diffusion …
[HTML][HTML] Infinite-memory classical wave-particle entities, attractor-driven active particles, and the diffusionless Lorenz equations
RN Valani - Chaos: An Interdisciplinary Journal of Nonlinear …, 2024 - pubs.aip.org
A classical wave-particle entity (WPE) can materialize as a millimeter-sized droplet walking
horizontally on the free surface of a vertically vibrating liquid bath. This WPE comprises a …
horizontally on the free surface of a vertically vibrating liquid bath. This WPE comprises a …
[HTML][HTML] Attractor-driven matter
RN Valani, DM Paganin - Chaos: An Interdisciplinary Journal of …, 2023 - pubs.aip.org
The state of a classical point-particle system may often be specified by giving the position
and momentum for each constituent particle. For non-pointlike particles, the center-of-mass …
and momentum for each constituent particle. For non-pointlike particles, the center-of-mass …
Dynamics of a colloidal particle driven by continuous time-delayed feedback
MCR Bell-Davies, A Curran, Y Liu, RPA Dullens - Physical Review E, 2023 - APS
We perform feedback experiments and simulations in which a colloidal dumbbell particle,
acting as a particle on a ring, is followed by a repulsive optical trap controlled by a …
acting as a particle on a ring, is followed by a repulsive optical trap controlled by a …
Antipersistent random walks in time-delayed systems
T Albers, D Müller-Bender, G Radons - Physical Review E, 2022 - APS
We show that the occurrence of chaotic diffusion in a typical class of time-delayed systems
with linear instantaneous and nonlinear delayed term can be well described by an …
with linear instantaneous and nonlinear delayed term can be well described by an …
Chaotic diffusion of dissipative solitons: From anti-persistent random walks to Hidden Markov Models
T Albers, J Cisternas, G Radons - Chaos, Solitons & Fractals, 2022 - Elsevier
In previous publications, we showed that the incremental process of the chaotic diffusion of
dissipative solitons in a prototypical complex Ginzburg-Landau equation, known, eg, from …
dissipative solitons in a prototypical complex Ginzburg-Landau equation, known, eg, from …
Weak Chaos, Anomalous Diffusion, and Weak Ergodicity Breaking in Systems with Delay
T Albers, L Hille, D Müller-Bender… - arXiv preprint arXiv …, 2024 - arxiv.org
We demonstrate that standard delay systems with a linear instantaneous and a delayed
nonlinear term show weak chaos, asymptotically subdiffusive behavior, and weak ergodicity …
nonlinear term show weak chaos, asymptotically subdiffusive behavior, and weak ergodicity …
Multiple-scale analysis of the simplest large-delay differential equation
G Kozyreff - arXiv preprint arXiv:2308.12172, 2023 - arxiv.org
A delayed term in a differential equation reflects the fact that information takes significant
time to travel from one place to another within a process being studied. Despite de apparent …
time to travel from one place to another within a process being studied. Despite de apparent …
A generalised diffusion equation corresponding to continuous time random walks with coupling between the waiting time and jump length distributions
JD Cleland, MAK Williams - Journal of Physics A: Mathematical …, 2023 - iopscience.iop.org
A generalised diffusion equation corresponding to continuous time random walks with
coupling between the waiting time and jump length distributions - IOPscience This site uses …
coupling between the waiting time and jump length distributions - IOPscience This site uses …