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The mechanism of synchronization of oscillations in two identical coupled flow systems has beenstudied. The time (past the coupling onset) during which a synchronous oscillation regime is establisheddepends on the oscillation phase…

Chaotic Dynamics · Physics 2015-06-26 A. A. Koronovskii , A. E. Hramov , I. A. Khromova

The double barrier resonant tunneling diode exhibits complex spatio-temporal patterns including low-dimensional chaos when operated in an active external circuit. We demonstrate how autosynchronization by time--delayed feedback control can…

Condensed Matter · Physics 2007-05-23 J. Unkelbach , A. Amann , W. Just , E. Schöll

The expansion of inverter-connected generation facilities (i.e. wind and photovoltaics) and the removal of conventional power plants is necessary to mitigate the impacts of climate change. Whereas conventional generation with large rotating…

Adaptation and Self-Organizing Systems · Physics 2020-01-20 Philipp C. Böttcher , Andreas Otto , Stefan Kettemann , Carsten Agert

We investigate how a constant time delay influences a parametric autoresonant system. This is a nonlinear system driven by a parametrically chirped force with a negative delay-feedback that maintains adiabatic phase locking with the driving…

Chaotic Dynamics · Physics 2025-02-04 Somnath Roy , Mattia Coccolo , Miguel A. F. Sanjuán

We study the impact of competing time delays in coupled stochastic synchronization and coordination problems. We consider two types of delays: transmission delays between interacting elements and processing, cognitive, or execution delays…

Statistical Mechanics · Physics 2011-01-12 D. Hunt , G. Korniss , B. K. Szymanski

Periodic forcing of nonlinear oscillators leads to a large number of dynamic behaviors. The coupling of the cell-cycle to the circadian clock provides a biological realization of such forcing. Using high throughput single-cell microscopy,…

The effects of a distributed 'weak generic kernel' delay on cyclically coupled limit cycle and chaotic oscillators are considered. For coupled Van der Pol oscillators (and in fact, other oscillators as well) the delay can produce…

Chaotic Dynamics · Physics 2020-02-14 Ryan Roopnarain , S. Roy Choudhury

A theory of time-delayed coherent quantum feedback is developed. More specifically, we consider a quantum system coupled to a bosonic reservoir creating a unidirectional feedback loop. It is shown that the dynamics can be mapped onto a…

Quantum Physics · Physics 2015-08-12 Arne L. Grimsmo

Community structure and interaction delays are common features of ensembles of network coupled oscillators, but their combined effect on the emergence of synchronization has not been studied in detail. We study the transitions between…

Adaptation and Self-Organizing Systems · Physics 2019-10-30 Juan G. Restrepo , Per Sebastian Skardal

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 imitation of neural networks by means of modern computing substrates…

Adaptation and Self-Organizing Systems · Physics 2024-08-28 Anna Zakharova , Vladimir V. Semenov

We consider an ensemble of globally coupled phase oscillators whose interaction is transmitted at finite speed. This introduces time delays, which make the spatial coordinates relevant in spite of the infinite range of the interaction. We…

Statistical Mechanics · Physics 2007-05-23 Damian H. Zanette

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

In this paper we develop novel results on self triggering control of nonlinear systems, subject to perturbations and actuation delays. First, considering an unperturbed nonlinear system with bounded actuation delays, we provide conditions…

Optimization and Control · Mathematics 2011-08-29 M. D. Di Benedetto , S. Di Gennaro , A. D'Innocenzo

Quenching of limit cycle oscillations (LCO), either through mutual coupling or external forcing, has attracted wide attention in several fields of science and engineering. However, the simultaneous utilization of these coupling schemes in…

Applied Physics · Physics 2022-01-11 Ankit Sahay , Amitesh Roy , Samadhan A. Pawar , R. I. Sujith

Experimental observations of typical kinds of synchronization transitions are reported in unidirectionally coupled time-delay electronic circuits with a threshold nonlinearity and two time delays, namely feedback delay $\tau_1$ and coupling…

Chaotic Dynamics · Physics 2011-07-12 Srinivasan. k , Senthilkumar D. V. , Murali. K , Lakshmanan. M , Kurths. J

Demographic oscillators are individual-based systems exhibiting temporal cycles sustained by the stochastic dynamics of the microscopic interacting particles. We here use the example of coupled predator-prey oscillators to show that…

Adaptation and Self-Organizing Systems · Physics 2008-11-26 Tobias Galla

Building upon our previous work on the Wilson-Cowan equations with distributed delays, we study the dynamic behavior in a system of two coupled Wilson-Cowan pairs. We focus in particular on understanding the mechanisms that govern the…

Dynamical Systems · Mathematics 2023-07-14 Eva Kaslik , Emanuel-Attila Kokovics , Anca Radulescu

In this article, we propose a very efficient technique to enhance the dynamical robustness for a network of mean-field coupled oscillators experiencing aging transition. In particular, we present a control mechanism based on delayed…

Adaptation and Self-Organizing Systems · Physics 2021-02-03 Amit Sharma , Biswambhar Rakshit

We show that oscillation death as a specific type of oscillation suppression, which implies symmetry breaking, can be controlled by introducing time-delayed coupling. In particular, we demonstrate that time delay influences the stability of…

Chaotic Dynamics · Physics 2015-06-17 A. Zakharova , I. Schneider , Y. N. Kyrychko , K. B. Blyuss , A. Koseska , B. Fiedler , E. Schöll

We consider application of the multiple time delayed feedback for control of anharmonic (nonlinear) oscillators subject to noise. In contrast to the case of a single delay feedback, the multiple one exhibits resonances between feedback and…

Statistical Mechanics · Physics 2014-07-30 Denis S. Goldobin
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