Chaotic diffusion in delay systems: Giant enhancement by time lag modulation

T Albers, D Müller-Bender, L Hille, G Radons - Physical Review Letters, 2022 - APS
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 …

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 …

Pseudolaminar chaos from on-off intermittency

D Müller-Bender, RN Valani, G Radons - Physical Review E, 2023 - APS
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 …

[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 …

Synchronization of laminar chaos

T Khatun, D Biswas, T Banerjee - The European Physical Journal Plus, 2022 - Springer
A new type of chaos is discovered recently (Müller et al. in Phys Rev Lett 120: 084102,
2018), namely the laminar chaos that is exhibited by time-varying-time-delay systems …

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 …

Suppression of quasiperiodicity in circle maps with quenched disorder

D Müller-Bender, JL Kastner, G Radons - Physical Review E, 2022 - APS
We show that introducing quenched disorder into a circle map leads to the suppression of
quasiperiodic behavior in the limit of large system sizes. Specifically, for most parameters …

Laminar chaos in coupled time-delay systems

DD Kulminskiy, VI Ponomarenko… - Technical Physics Letters, 2024 - Springer
The possibility of the existence of laminar chaos in coupled time-delayed feedback systems
is investigated. The cases of unidirectional and mutual coupling of time-delay systems are …

[PDF][PDF] 周期1 与准周期访问映射下的层流混沌及其耦合同步

朱云, 王旭林, 邱国强 - 河南师范大学学报(自然科学版), 2024 - htu.edu.cn
使用周期1 与准周期两种周期的访问映射, 在一个新系统中观察层流混沌. 对2
种不同周期的访问映射产生的层流混沌系统, 采用延迟调制进行耦合, 观察它们的同步行为 …

Nonlinear Dynamic Behavior of Two Distinct Chaotic Systems

HA Naser, HH Ali - Applied Computing Journal, 2024 - testojs.acaa-p.com
The nonlinear dynamics of two chaotic systems, namely the optoelectronic feedback (OEFB)
and the Lu-Chen electronic chaotic system, are simulated and implemented in this work …