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An excitable semiconductor micropillar laser with delayed optical feedback is able to regenerate pulses by the excitable response of the laser. It has been shown that almost any pulse sequence can, in principle, be excited and regenerated…

Interaction via pulses is common in many natural systems, especially neuronal. In this article we study one of the simplest possible systems with pulse interaction: a phase oscillator with delayed pulsatile feedback. When the oscillator…

Chaotic Dynamics · Physics 2015-12-14 Vladimir Klinshov , Leonhard Luecken , Dmitry Shchapin , Vladimir Nekorkin , Serhiy Yanchuk

Excitable systems with delayed feedback are important in areas from biology to neuroscience and optics. They sustain multistable pulsing regimes with different number of equidistant pulses in the feedback loop. Experimentally and…

Pattern Formation and Solitons · Physics 2021-01-20 Soizic Terrien , Venkata A. Pammi , Bernd Krauskopf , Neil G. R. Broderick , Sylvain Barbay

Semiconductor lasers exhibit a wealth of dynamics, from emission of a constant beam of light, to periodic oscillations and excitability. Self-pulsing regimes, where the laser periodically releases a short pulse of light, are particularly…

Optics · Physics 2016-12-19 Soizic Terrien , Bernd Krauskopf , Neil G. R. Broderick

We consider the Yamada model for an excitable or self-pulsating laser with saturable absorber, and study the effects of delayed optical self-feedback in the excitable case. More specifically, we are concerned with the generation of stable…

Dynamical Systems · Mathematics 2020-03-19 Stefan Ruschel , Bernd Krauskopf , Neil G. R. Broderick

In this manuscript, a silent resonator neuron is coupled with a spiking integrator neuron through the gap junction, when the coupled neurons are of different types of excitability and none of the coupled neurons exhibit mixed mode…

Dynamical Systems · Mathematics 2024-01-18 Mohammad Reza Razvan , Somaye Yasaman

We examine the dynamics of resonance locking in detached, tidally interacting binary systems. In a resonance lock, a given stellar or planetary mode is trapped in a highly resonant state for an extended period of time, during which the spin…

Solar and Stellar Astrophysics · Physics 2014-10-28 Joshua Burkart , Eliot Quataert , Phil Arras

New, fundamental resonant properties of laser resonators are theoretically predicted and experimentally demonstrated. These resonances occur either in the time dependence of the beam width and that of beam radius of curvature of the…

Optics · Physics 2015-06-05 A. Kohazi-Kis , J. Klebniczki , M. Gorbe , P. Nagy

Oscillatory systems with time-delayed pulsatile feedback appear in various applied and theoretical research areas, and received a growing interest in the last years. For such systems, we report a remarkable scenario of destabilization of a…

Chaotic Dynamics · Physics 2015-05-28 Vladimir Klinshov , Leonhard Lücken , Dmitry Shchapin , Vladimir Nekorkin , Serhiy Yanchuk

The nonlinear interaction of a microresonator pumped by a laser has revealed complex dynamics including soliton formation and chaos. Initial studies of coupled-resonator systems reveal even more complicated dynamics that can lead to…

In superlattices of twisted semiconductor monolayers, tunable moir\'e potentials emerge, trapping excitons into periodic arrays. In particular, spatially separated interlayer excitons are subject to a deep potential landscape and they…

Mesoscale and Nanoscale Physics · Physics 2023-06-02 Samuel Brem , Ermin Malic

We study the dynamics of multipulse solutions in mode-locked lasers in presence of time-delayed feedback stemming, e.g., from reflections upon optical elements, and carrier dynamics. We demonstrate that the dynamics of such a high…

Pattern Formation and Solitons · Physics 2025-03-21 Thomas G. Seidel , Julien Javaloyes , Svetlana V. Gurevich

We design, characterize, and couple Boolean phase oscillators that include state-dependent feedback delay. The state-dependent delay allows us to realize an adjustable coupling strength, even though only Boolean signals are exchanged.…

Adaptation and Self-Organizing Systems · Physics 2014-04-11 David P. Rosin , Damien Rontani , Daniel J. Gauthier

We show that the unavoidable increase in neuronal response latency to ongoing stimulation serves as a nonuniform gradual stretching of neuronal circuit delay loops and emerges as an essential mechanism in the formation of various types of…

Neurons and Cognition · Quantitative Biology 2012-12-07 Roni Vardi , Reut Timor , Shimon Marom , Moshe Abeles , Ido Kanter

Excitable waves arise in many spatially-extended systems of either biological, chemical, or physical nature due to the interplay between local reaction and diffusion processes. Here we demonstrate that similar phenomena are encoded in the…

Pattern Formation and Solitons · Physics 2019-05-08 Francesco Marino , Giovanni Giacomelli

High-order frequency locking phenomena were recently observed using semiconductor lasers subject to large delayed feedbacks [B. Tykalewicz, et al., Opt. Express 24, 4239 (2016); B. Kelleher, et al., Chaos 27, 114325 (2017)]. Specifically,…

We study a scalar DDE with two delayed feedback terms that depend linearly on the state. The associated constant-delay DDE, obtained by freezing the state dependence, is linear and without recurrent dynamics. With state dependent delay…

Dynamical Systems · Mathematics 2021-12-03 R. C. Calleja , A. R. Humphries , B. Krauskopf

Temporal-dissipative Kerr solitons are self-localized light pulses sustained in driven nonlinear optical resonators. Their realization in microresonators has enabled compact sources of coherent optical frequency combs as well as the study…

In this paper, we analyze the effect of optical feedback on the dynamics of a passively mode-locked ring laser operating in the regime of temporal localized structures. This laser system is modeled by a system of delay differential…

Pattern Formation and Solitons · Physics 2022-03-07 Thomas G. Seidel , Julien Javaloyes , Svetlana V. Gurevich

We propose a time-delayed model for the study of active mode-locking that is valid for large values of the round-trip gain and losses. It allows us to access the typical regimes encountered in semiconductor lasers and to perform an extended…

Optics · Physics 2024-10-08 Elias R. Koch , Svetlana V. Gurevich , Julien Javaloyes
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