Results 21 to 30 of about 59,044 (257)
IEEE Access, 2023 We present a novel Z-trench-assisted (Z-TA) graded index 9-LP-mode fiber that significantly suppresses the maximum absolute differential modal group delay (Max $\vert $ DMGD $\vert$ ) while obtaining a high normalized spatial density (NSD).
Yuheng Xie +4 more
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Hole-Assisted Graded-Index Four-LP-Mode Fiber With Low Differential Mode Group Delay Over C+L Band
IEEE Photonics Journal, 2016 In this paper, in order to achieve low differential mode group delay (DMGD) over the C+L band, we propose the hole-assisted graded-index few mode fiber (FMF) design supporting four nondegenerated linear polarized (LP) modes for a mode division ...
Jiajia Zhao +5 more
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IEEE Access, 2022 In the new era, the Internet of Everything (IoE) provides distributed services like data, processes, people, and things, etc. The services to the connected IoE significantly increase the time of service, workload, energy consumption, and delay.
Shailendra Pratap Singh +3 more
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Journal of Mathematical and Fundamental Sciences, 2016 In this paper we present approximate solutions of linearized delay differential equations using the matrix Lambert function. The equations arise from a microbial fermentation process in a metabolic system. The delay term appears due to the existence of a
Agus Yodi Gunawan +2 more
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A delay differential equation NOLM--NALM mode-locked laser model
, 2021 Delay differential equation model of a NOLM-NALM mode-locked laser is developed that takes into account finite relaxation rate of the gain medium and asymmetric beam splitting at the entrance of the nonlinear mirror loop. Asymptotic linear stability analysis of the continuous wave solutions performed in the limit of large delay indicates that in a ...
Vladimirov, Andrei +3 more
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Relay model of a fading neuron [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаThis study is a continuation of M. M. Preobrazhenskaya’s work “Relay System of Differential Equations with Delay as a Perceptron Model”, which aimed to combine approaches related to artificial neural networks and modeling biological ...
Zelenova, Vera Konstantinovna
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Temporal Cavity Soliton Interaction in Passively Mode-Locked Semiconductor Lasers
Optics, 2023 Weak interactions of temporal cavity solitons resulting from gain saturation and recovery in a delay differential model of a long cavity semiconductor laser were studied numerically and analytically using an asymptotic approach.
Andrei G. Vladimirov
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Optics Express, 2015 We analyze the impact of Differential Mode Delay (DMD) Management on the nonlinear impairments in mode-division multiplexed transmission systems. It is found out that DMD Management can lead to a degraded performance, due to enhanced intermodal nonlinear interaction. This can be attributed to an increased correlation of co-propagating channels, similar
Georg, Rademacher +2 more
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Modeling pulsativity in the hypothalamic–pituitary–adrenal hormonal axis
Scientific Reports, 2022 A new mathematical model for biological rhythms in the hypothalamic–pituitary–adrenal (HPA) axis is proposed. This model takes the form of a system of impulsive time-delay differential equations which include pulsatile release of adrenocorticotropin ...
Alexander N. Churilov, John G. Milton
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Oscillatory modes in a nonlinear second-order differential equation with delay [PDF]
Journal of Dynamics and Differential Equations, 1990 The authors investigate the second order delay differential equation \((d^ 2x/dt^ 2)(t)=f(x(t-\tau))-ax(t),\) where f is a decreasing step function with only one step. Normalization reduces the problem to the standard form, \((dx/dt)(t)=y(t)\), \((dy/dt)(t)=f(x(t-\tau))-x(t)\), \(f(\xi)=1/2\) if \(\xi\leq \theta\), \(=-1/2\) if \(\xi >\theta\), with ...
an der Heiden, U. +4 more
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