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Delay differential equations (DDEs) with large delays play a pivotal role in understanding stability and bifurcations in systems ranging from neural networks to laser dynamics. While prior work has extensively studied DDEs with discrete…

Dynamical Systems · Mathematics 2025-09-09 Isam Al-Darabsah , Sue Ann Campbell , Bootan Rahman

A microscopic approach to macroeconomic features is intended. A model for macroeconomic behavior based on the Ausloos-Clippe-Pekalski model is built and investigated. The influence of a discrete time information transfer is investigated.…

Physics and Society · Physics 2015-06-26 Janusz Miskiewicz , Marcel Ausloos

To model and forecast flight delays accurately, it is crucial to harness various vehicle trajectory and contextual sensor data on airport tarmac areas. These heterogeneous sensor data, if modelled correctly, can be used to generate a…

Machine Learning · Computer Science 2021-11-25 Wei Shao , Arian Prabowo , Sichen Zhao , Piotr Koniusz , Flora D. Salim

The propagation of primary discontinuities in initial value problems for linear delay differential-algebraic equations (DDAEs) is discussed. Based on the (quasi-) Weierstra{\ss} form for regular matrix pencil, a complete characterization of…

Dynamical Systems · Mathematics 2019-05-21 Benjamin Unger

Real-world systems can be strongly influenced by time delays occurring in self-coupling interactions, due to unavoidable finite signal propagation velocities. When the delays become significantly long, complicated high-dimensional phenomena…

Chaotic Dynamics · Physics 2022-06-08 Serhiy Yanchuk , Giovanni Giacomelli

Deep Learning, driven by neural networks, has led to groundbreaking advancements in Artificial Intelligence by enabling systems to learn and adapt like the human brain. These models have achieved remarkable results, particularly in…

Machine Learning · Computer Science 2025-06-02 Paritosh Ranjan , Surajit Majumder , Prodip Roy

Wireless communications systems are impacted by multi-path fading and Doppler shift in dynamic environments, where the channel becomes doubly-dispersive and its estimation becomes an arduous task. Only a few pilots are used for channel…

Information Theory · Computer Science 2022-06-07 Abdul Karim Gizzini , Marwa Chafii

Even the best scientific equipment can only partially observe reality. Recorded data is often lower-dimensional, e.g., two-dimensional pictures of the three-dimensional world. Combining data from multiple experiments then results in a…

Data Analysis, Statistics and Probability · Physics 2023-05-26 Michael Plainer , Felix Dietrich , Ioannis G. Kevrekidis

Reliability plays a key role in the experience of a rail traveler. The reliability of journeys involving transfers is affected by the reliability of the transfers and the consequences of missing a transfer, as well as the possible delay of…

Applications · Statistics 2025-04-25 Nikolaus Stratil-Sauer , Nils Breyer

In the operation of networked control systems, where multiple processes share a resource-limited and time-varying cost-sensitive network, communication delay is inevitable and primarily influenced by, first, the control systems deploying…

Systems and Control · Electrical Eng. & Systems 2020-07-16 Mohammad H. Mamduhi , Dipankar Maity , Sandra Hirche , John S. Baras , Karl H. Johansson

Emergence of new types of services has led to various traffic and diverse delay requirements in fifth generation (5G) wireless networks. Meeting diverse delay requirements is one of the most critical goals for the design of 5G wireless…

Information Theory · Computer Science 2017-03-27 Yi Zhong , Tony Q. S. Quek , Xiaohu Ge

Boundary driven diffusive systems describe a broad range of transport phenomena. We study large deviations of the density profile in these systems, using numerical and analytical methods. We find that the large deviation may be…

Statistical Mechanics · Physics 2015-10-07 Guy Bunin , Yariv Kafri , Daniel Podolsky

We design dynamic routing policies for an overlay network which meet delay requirements of real-time traffic being served on top of an underlying legacy network, where the overlay nodes do not know the underlay characteristics. We pose the…

Networking and Internet Architecture · Computer Science 2019-04-19 Rahul Singh , Eytan Modiano

Most transportation networks are inherently temporal: Connections (e.g. flights, train runs) are only available at certain, scheduled times. When transporting passengers or commodities, this fact must be considered for the the planning of…

Data Structures and Algorithms · Computer Science 2022-01-17 Eugen Füchsle , Hendrik Molter , Rolf Niedermeier , Malte Renken

Transparent topology is common in many mobile ad hoc networks (MANETs) such as vehicle ad hoc networks (VANETs), unmanned aerial vehicle (UAV) ad hoc networks, and wireless sensor networks due to their decentralization and mobility nature.…

Networking and Internet Architecture · Computer Science 2020-12-29 Lei Deng , Fang Liu , Yijin Zhang , Wing Shing Wong

We investigate the propagation of perturbations in Boolean networks by evaluating the Derrida plot and modifications of it. We show that even small Random Boolean Networks agree well with the predictions of the annealed approximation, but…

Statistical Mechanics · Physics 2009-05-06 Christoph Fretter , Agnes Szejka , Barbara Drossel

Time delays are a common perturbation in systems with many states, such as networked, distributed, or decentralized systems. Current methods analyzing the stability of large systems with time delay typically produce very conservative…

Systems and Control · Computer Science 2017-10-31 George Armanious , Rick Lind

Unmanned aerial vehicles (UAVs) have significant practical advantages for delivering packages, and many logistics companies have begun deploying UAVs for commercial package deliveries. To deliver packages quickly and cost-effectively, the…

Multiagent Systems · Computer Science 2023-11-23 Arun Narayanan , Evangelos Pournaras , Pedro H. J. Nardelli

Accurate prediction of flight-level passenger traffic is of paramount importance in airline operations, influencing key decisions from pricing to route optimization. This study introduces a novel, multimodal deep learning approach to the…

Machine Learning · Computer Science 2024-01-11 Sina Ehsani , Elina Sergeeva , Wendy Murdy , Benjamin Fox

We apply the framework developed in the preceding paper in this series (Smilansky 2017 J. Phys. A: Math. Theor. 50, 215301) to compute the time-delay distribution in the scattering of ultra short radio frequency pulses on complex networks…

Mathematical Physics · Physics 2018-01-23 Uzy Smilansky , Holger Schanz