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We study the effects of propagation delays on the stochastic dynamics of bumps in neural fields with multiple layers. In the absence of noise, each layer supports a stationary bump. Using linear stability analysis, we show that delayed…

Neurons and Cognition · Quantitative Biology 2015-06-23 Zachary P. Kilpatrick

When interpersonal interactions between individuals are described by the (discrete or continuous) dynamical systems, the interactions are usually assumed to be instantaneous: the rates of change of the actual states of the actors at given…

Dynamical Systems · Mathematics 2012-02-17 Natalia Bielczyk , Urszula Foryś , Tadeusz Płatkowski

A dynamic autonomy allocation framework automatically shifts how much control lies with the human versus the robotics autonomy, for example based on factors such as environmental safety or user preference. To investigate the question of…

Robotics · Computer Science 2021-08-04 Christopher X. Miller , Temesgen Gebrekristos , Michael Young , Enid Montague , Brenna Argall

Active agents with time-delayed interactions arise naturally in various real-world systems, such as biological systems, transportation networks and robotic swarms. Such systems are typically modeled as Delay Differential Equations (DDEs)…

Dynamical Systems · Mathematics 2025-09-03 Yu Wang , Andreas Amann , Jinde Cao , Jürgen Kurths , Serhiy Yanchuk

In order to anticipate dangerous events, like a collision, an agent needs to make long-term predictions. However, those are challenging due to uncertainties in internal and external variables and environment dynamics. A sensorimotor model…

Robotics · Computer Science 2012-10-04 Arturo Ribes , Jesús Cerquides , Yiannis Demiris , Ramón López de Mántaras

Motivated by recent studies in human balance control, we study a delayed random walk with an unstable fixed point. It is observed that the random walker moves away from the unstable fixed point more slowly than is observed in the absence of…

Other Condensed Matter · Physics 2009-11-11 Tadaaki Hosaka , Toru Ohira , Christian Luciani , Juan Luis Cabrera , John G. Milton

It is known from both theory and experiments that introducing time delays into the communication network of mobile-agent swarms produces coherent rotational patterns. Often such spatio-temporal rotations can be bistable with other swarming…

Adaptation and Self-Organizing Systems · Physics 2020-04-15 Jason Hindes , Victoria Edwards , Sayomi Kamimoto , Ioana Triandaf , Ira B. Schwartz

Robotic surface consisting of many actuators can change shape to perform tasks, such as facilitating human-machine interactions and transporting objects. Increasing the number of actuators can enhance the robot's capacity, but controlling…

Robotics · Computer Science 2024-12-03 Yuchen Zhao

Delays and stochasticity have both served as crucially valuable ingredients in mathematical descriptions of control, physical, and biological systems. In this work, we investigate how explicitly dynamical stochasticity in delays modulates…

Molecular Networks · Quantitative Biology 2023-07-10 Bhargav R. Karamched , Christopher E. Miles

We study optimal proportional feedback controllers for spatially invariant systems when the controller has access to delayed state measurements received from different spatial locations. We analyze how delays affect the spatial locality of…

Optimization and Control · Mathematics 2025-09-12 Luca Ballotta , Juncal Arbelaiz , Vijay Gupta , Luca Schenato , Mihailo R. Jovanović

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

Collaboration between interconnected cyber-physical systems is becoming increasingly pervasive. Time-delays in communication channels between such systems are known to induce catastrophic failure modes, like high frequency oscillations in…

Systems and Control · Electrical Eng. & Systems 2021-09-23 Shankar A. Deka , Donggun Lee , Claire J. Tomlin

During visuomotor tasks, robots must compensate for temporal delays inherent in their sensorimotor processing systems. Delay compensation becomes crucial in a dynamic environment where the visual input is constantly changing, e.g., during…

Computer Vision and Pattern Recognition · Computer Science 2018-03-12 Luiza Mici , German I. Parisi , Stefan Wermter

Artificial time delay controller was conceptualised for nonlinear systems to reduce dependency on precise system modelling unlike the conventional adaptive and robust control strategies. In this approach unknown dynamics is compensated by…

Robotics · Computer Science 2024-09-04 Swati Dantu

We develop an approximate theoretical method to study discrete stochastic birth and death models that include a delay time. We analyze the effect of the delay in the fluctuations of the system and obtain that it can qualitatively alter…

Statistical Mechanics · Physics 2012-09-24 Luis F. Lafuerza , Raul Toral

In this paper, we introduce a dynamic fiducial marker which can change its appearance according to the spatiotemporal requirements of the visual perception task of a mobile robot using a camera as the sensor. We present a control scheme to…

Robotics · Computer Science 2019-01-10 Raul Acuna , Volker Willert

The problem of regulation of the orientation angle of a remotely controlled differential-drive mobile robot with actuator dynamics and network-induced delays is studied. Using a preinstalled two-layer nonlinear control scheme that decouples…

Systems and Control · Electrical Eng. & Systems 2025-10-08 Nikolaos D. Kouvakas , Fotis N. Koumboulis , Konstantinos G. Tzierakis , John Sigalas , Anastasios Dimakakos

The spiking properties of a subcritical Hopf oscillator with a time delayed nonlinear feedback is investigated. Finite time delay is found to significantly affect both the statistics and the fine structure of the spiking behavior. These…

Chaotic Dynamics · Physics 2009-11-11 Gautam C Sethia , Abhijit Sen

Unpredictable sensor-to-estimator delays fundamentally distort what matters for wireless remote state estimation: not just freshness, but how delay interacts with sensor informativeness and energy efficiency. In this paper, we present a…

Information Theory · Computer Science 2026-01-30 Nho-Duc Tran , Aamir Mahmood , Mikael Gidlund

We find that rats, like primates and humans, perform better on the random dot motion task when they take more time to respond. We provide evidence that this improvement is due to stimulus integration. Rats increase their response latency…

Neurons and Cognition · Quantitative Biology 2012-06-05 Pamela Reinagel , Emily Mankin , Adam Calhoun