Spatio-temporal phenomena in complex systems with time delays

S Yanchuk, G Giacomelli - Journal of Physics A: Mathematical …, 2017 - iopscience.iop.org
Real-world systems can be strongly influenced by time delays occurring in self-coupling
interactions, due to unavoidable finite signal propagation velocities. When the delays …

Delayed dynamical systems: networks, chimeras and reservoir computing

JD Hart, L Larger, TE Murphy… - … Transactions of the …, 2019 - royalsocietypublishing.org
We present a systematic approach to reveal the correspondence between time delay
dynamics and networks of coupled oscillators. After early demonstrations of the usefulness …

Virtual chimera states for delayed-feedback systems

L Larger, B Penkovsky, Y Maistrenko - Physical review letters, 2013 - APS
Time-delayed systems are found to display remarkable temporal patterns the dynamics of
which split into regular and chaotic components repeating at the interval of a delay. This …

Laser chimeras as a paradigm for multistable patterns in complex systems

L Larger, B Penkovsky, Y Maistrenko - Nature communications, 2015 - nature.com
A chimera state is a rich and fascinating class of self-organized solutions developed in high-
dimensional networks. Necessary features of the network for the emergence of such …

Delayed-feedback oscillators replicate the dynamics of multiplex networks: wavefront propagation and stochastic resonance

A Zakharova, VV Semenov - Neural Networks, 2025 - Elsevier
The widespread development and use of neural networks have significantly enriched a wide
range of computer algorithms and promise higher speed at lower cost. However, the …

Topological solitons as addressable phase bits in a driven laser

B Garbin, J Javaloyes, G Tissoni, S Barland - Nature communications, 2015 - nature.com
Optical localized states are usually defined as self-localized bistable packets of light, which
exist as independently controllable optical intensity pulses either in the longitudinal or …

Delayed-feedback chimera states: Forced multiclusters and stochastic resonance

V Semenov, A Zakharova, Y Maistrenko… - Europhysics …, 2016 - iopscience.iop.org
A nonlinear oscillator model with negative time-delayed feedback is studied numerically
under external deterministic and stochastic forcing. It is found that in the unforced system …

Nonlinear behavior of dendritic polymer networks for reservoir computing

L Petrauskas, M Cucchi, C Grüner… - Advanced Electronic …, 2022 - Wiley Online Library
Organic electrochemical devices are an emerging class of devices with synaptic properties
that might allow for the implementation of next‐generation neuromorphic circuits for power …

Delay-induced self-oscillation excitation in the Fitzhugh–Nagumo model: Regular and chaotic dynamics

VV Semenov, AV Bukh, N Semenova - Chaos, Solitons & Fractals, 2023 - Elsevier
Abstract The stochastic FitzHugh–Nagumo model with time delayed-feedback is often
studied in excitable regime to demonstrate the time-delayed control of coherence …

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 …