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Collective modes of coupled phase oscillators with delayed coupling
(American Physical Society, 2012-04)
We study the effects of delayed coupling on timing and pattern formation in spatially extended systems of dynamic oscillators. Starting from a discrete lattice of coupled oscillators, we derive a generic continuum theory ...
Delayed coupling theory of vertebrate segmentation
(Hfsp Publishing, 2009-12)
Rhythmic and sequential subdivision of the elongating vertebrate embryonic body axis into morphological somites is controlled by an oscillating multicellular genetic network termed the segmentation clock. This clock operates ...
Synchronization Dynamics in the Presence of Coupling Delays and Phase Shifts
(American Physical Society, 2014-05)
In systems of coupled oscillators, the effects of complex signaling can be captured by time delays and phase shifts. Here, we show how time delays and phase shifts lead to different oscillator dynamics and how synchronization ...
Synchronization dynamics of mobile oscillators in the presence of coupling delays
(American Physical Society, 2019-06)
Individual biological oscillators can synchronize to generate a collective rhythm. During vertebrate development, mobile cells exchange signals to synchronize a rhythmic pattern generator that makes the embryonic segments. ...
Time-delayed coupled logistic capacity model in population dynamics
(American Physical Society, 2014-08)
This study proposes a delay-coupled system based on the logistic equation that models the interaction of a population with its varying environment. The integro-diferential equations of the model are presented in terms of ...
Panic evacuation of single pedestrians and couples
(World Scientific, 2016-02)
Understanding the timing requirements for evacuation of people has focused primarily on independent pedestrians rather than pedestrians emotionally connected. However, the main statistical effects observed in crowds, the ...
Lazer–Leach conditions for coupled Gompertz-like delayed systems
(Pergamon-Elsevier Science Ltd, 2018-09)
A coupled Gompertz-like system of delay differential equations is considered. We prove the existence of T-periodic solutions under resonance assuming a Lazer–Leach type condition.
Hopf Bifurcation Analysis of Distributed Delay Equations with Applications to Neural Networks
(World Scientific, 2015-11)
In this paper, we study how to capture smooth oscillations arising from delay-differential equations with distributed delays. For this purpose, we introduce a modified version of the frequency-domain method based on the ...
Control Strategy of True Time Delay Lines
(Taylor & Francis, 2017-03)
This article presents the control of adjustable true time delays applied to an optical beamforming system. First is introduced the response of ring resonators of two and four ports and the cascade and lattice structures. ...
Intercellular coupling regulates the period of the segmentation clock
(Cell Press, 2010-07)
Background: Coupled biological oscillators can tick with the same period. How this collective period is established is a key question in understanding biological clocks. We explore this question in the segmentation clock, ...