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We study the dynamics of an optoelectronic circuit composed of an excitable nanoscale resonant-tunneling diode (RTD) driving a nanolaser diode (LD) coupled via time-delayed feedback. Using a combination of numerical path-continuation…

Pattern Formation and Solitons · Physics 2024-08-21 Jonas Mayer Martins , Svetlana V. Gurevich , Julien Javaloyes

We discuss applications of time-delayed feedback control to delay-coupled neural systems and lasers, in the framework of the FitzHugh-Nagumo neuron model and the Lang-Kobayashi laser model, respectively. In the context of neural systems, we…

Chaotic Dynamics · Physics 2009-12-18 Philipp Hövel , Markus A. Dahlem , Thomas Dahms , Gerald Hiller , Eckehard Schöll

The influence of time delay in systems of two coupled excitable neurons is studied in the framework of the FitzHugh-Nagumo model. Time-delay can occur in the coupling between neurons or in a self-feedback loop. The stochastic…

Pattern Formation and Solitons · Physics 2009-11-13 E. Schoell , G. Hiller , P. Hoevel , M. A. Dahlem

With the recent exponential growth of applications using artificial intelligence (AI), the development of efficient and ultrafast brain-like (neuromorphic) systems is crucial for future information and communication technologies. While the…

Pattern Formation and Solitons · Physics 2018-01-30 B. Romeira , J. M. L. Figueiredo , J. Javaloyes

The recent demonstration of neuromorphic computing with spin-torque nano-oscillators has opened a path to energy efficient data processing. The success of this demonstration hinged on the intrinsic short-term memory of the oscillators. In…

We study numerically the effects of time delay in networks of delay-coupled excitable FitzHugh Nagumo systems with dissipation. The generation of periodic self-sustained oscillations and its threshold are analyzed depending on the…

Adaptation and Self-Organizing Systems · Physics 2023-07-19 A. V. Bukh , I. A. Shepelev , E. M. Elizarov , S. S. Muni , E. Schöll , G. I. Strelkova

The stochastic FitzHugh-Nagumo model with time delayed-feedback is often studied in excitable regime to demonstrate the time-delayed control of coherence resonance. Here, we show that the impact of time-delayed feedback in the…

Adaptation and Self-Organizing Systems · Physics 2023-05-24 Vladimir V. Semenov , Andrei V. Bukh , Nadezhda Semenova

We discuss the synchronization of coupled neurons which are modelled as FitzHugh-Nagumo systems. As smallest entity in a larger network, we focus on two diffusively coupled subsystems, which can be interpreted as two mutually interacting…

Chaotic Dynamics · Physics 2008-09-05 Philipp Hoevel , Markus A. Dahlem , Eckehard Schoell

Neurons with internal memory have been proposed for biological and bio-inspired neural networks, adding interesting functionality. We propose and model a nanoscale optoelectronic neural node with charge-based time-limited memory and signal…

Applied Physics · Physics 2023-09-22 David Winge , Magnus Borgström , Erik Lind , Anders Mikkelsen

We propose a nonlinear one-dimensional FitzHugh--Nagumo neuronal model with an asymmetric potential driven by both a high-frequency and a low-frequency signal. Our numerical analysis focuses on the influence of a state-dependent time delay…

Chaotic Dynamics · Physics 2025-01-14 M. Siewe Siewe , S. Rajasekar , Mattia Coccolo , Miguel A. F. Sanjuán

Using the model of a FitzHugh-Nagumo system in the excitable regime we investigate the influence of time-delayed feedback on noise-induced chimera states in a network with nonlocal coupling, i.e., coherence resonance chimeras. It is shown…

Adaptation and Self-Organizing Systems · Physics 2018-04-05 Anna Zakharova , Nadezhda Semenova , Vadim Anishchenko , Eckehard Schöll

Neuromorphic computing-modelled after the functionality and efficiency of biological neural systems-offers promising new directions for advancing artificial intelligence and computational models. Photonic techniques for neuromorphic…

The use of high-frequency currents in neurostimulation has received increased attention in recent years due to its varied effects on tissues and cells. Nonlinear differential equations are commonly used as models for Neurons, and averaging…

Analysis of PDEs · Mathematics 2025-12-29 Eduardo Cerpa , Matías Courdurier , Esteban Hernández , Leonel E. Medina , Esteban Paduro

Photonic neuromorphic computing may offer promising applications for a broad range of photonic sensors, including optical fiber sensors, to enhance their functionality while avoiding loss of information, energy consumption, and latency due…

We investigate feedback control of the cooperative dynamics of two coupled neural oscillators that is induced merely by external noise. The interacting neurons are modelled as FitzHugh-Nagumo systems with parameter values at which no…

Chaotic Dynamics · Physics 2009-11-11 B. Hauschildt , N. B. Janson , A. Balanov , E. Schoell

We systematically investigate the phenomena of coherence resonance in time-delay coupled networks of FitzHugh-Nagumo elements in the excitable regime. Using numerical simulations, we examine the interplay of noise, time-delayed coupling and…

Adaptation and Self-Organizing Systems · Physics 2017-10-25 Maria Masoliver , Nishant Malik , Eckehard Schöll , Anna Zakharova

In the last years, materializations of neuromorphic circuits based on nanophotonic arrangements have been proposed, which contain complete optical circuits, laser, photodetectors, photonic crystals, optical fibers, flat waveguides, and…

Emerging Technologies · Computer Science 2021-11-03 Konstantinos Demertzis , Georgios Papadopoulos , Lazaros Iliadis , Lykourgos Magafas

We study the nonlinear dynamics of two delay-coupled neural systems each modelled by excitable dynamics of FitzHugh-Nagumo type and demonstrate that bistability between the stable fixed point and limit cycle oscillations occurs for…

Pattern Formation and Solitons · Physics 2015-05-13 M. A. Dahlem , G. Hiller , A. Panchuk , E. Schoell

Photonic neuromorphic computing offers compelling advantages in power efficiency and parallel processing, but often falls short in realizing scalable nonlinearity and long-term memory. We overcome these limitations by employing silicon…

Neuromorphic computing seeks to replicate the spiking dynamics of biological neurons for brain-inspired computation. While electronic implementations of artificial spiking neurons have dominated to date, photonic approaches are attracting…

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