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The human brain is composed of distinct regions that are each associated with particular functions and distinct propensities for the control of neural dynamics. However, the relation between these functions and control profiles is poorly…

This paper discusses the evolution of probability distributions for certain time-dependent dynamical systems. Exponential loss of memory is proved for expanding maps and for one-dimensional piecewise expanding maps with slowly varying…

动力系统 · 数学 2012-10-02 William Ott , Lai-Sang Young , Mikko Stenlund

Due to the several applications on Human-machine interaction (HMI), this area of research has become one of the most popular in recent years. This is the case for instance of advanced training machines, robots for rehabilitation, robotic…

机器人学 · 计算机科学 2020-06-03 Humberto De las Casas , Hanz Richter

This article is devoted to study the interior approximated controllability of the strongly damped semilinear wave equation with memory, impulses and delay terms. The problem is challenging since the state equation contains memory and…

最优化与控制 · 数学 2017-04-11 Cristi Guevara , Hugo Leiva

How do humans and animals perform trial-and-error learning when the space of possibilities is infinite? In a previous study, we used an interval timing production task and discovered an updating strategy in which the agent adjusted the…

神经元与认知 · 定量生物学 2022-05-10 Jing Wang , Yousuf El-Jayyousi , Ilker Ozden

Memory and forgetting constitute two sides of the same coin, and although the first has been rigorously investigated, the latter is often overlooked. A number of experiments under the realm of psychology and experimental neuroscience have…

神经元与认知 · 定量生物学 2019-07-23 Antonios Georgiou , Mikhail Katkov , Misha Tsodyks

We examine the effects of memory and different updating paradigms in a game-theoretic model of competitive learning, where agents are influenced in their choice of strategy by both the choices made by, and the consequent success rates of,…

物理与社会 · 物理学 2012-01-23 Ajaz Ahmad Bhat , Anita Mehta

A coupled map is suggested to investigate various spatial or temporal designs in biology: Several cells (or tissues) in an organ are considered as connected to each other in terms of some molecular diffusions or electrical potential…

综合物理 · 物理学 2011-06-07 Caglar Tuncay

We propose a minimal yet intriguing model for a relationship between two individuals. The feeling of an individual is modeled by a complex variable and hence has two degrees of freedom. The effect of memory of other individual's behavior in…

适应与自组织系统 · 物理学 2023-08-17 Aarsh Chotalia , Shiva Dixit , P. Parmananda

We present Intermittent Control (IC) models as a candidate framework for modelling human input movements in Human--Computer Interaction (HCI). IC differs from continuous control in that users are not assumed to use feedback to adjust their…

人机交互 · 计算机科学 2021-03-16 J. Alberto Álvarez Martín , Henrik Gollee , Jörg Müller , Roderick Murray-Smith

Reentrant waves propagating in a ring or annulus of excitable media model is the basic mechanism underlying a major class of irregular cardiac rhythms known as anatomical reentry. Such reentrant waves are terminated by rapid electrical…

混沌动力学 · 物理学 2009-11-07 Sitabhra Sinha , David J. Christini

Moving average models, linear or nonlinear, are characterized by their short memory. This paper shows that, in the presence of feedback in the dynamics, the above characteristic can disappear.

统计理论 · 数学 2012-05-15 Dong Li , Shiqing Ling , Howell Tong

Spike-timing-dependent plasticity(STDP) is a biological process in which the precise order and timing of neuronal spikes affect the degree of synaptic modification. While there have been numerous research focusing on the role of STDP in…

神经元与认知 · 定量生物学 2021-08-10 Hong-Gyu Yoon , Pilwon Kim

This work deals with the problem of simultaneous regulation and model parameter estimation in adaptive model predictive control. We propose an adaptive model predictive control and conditions which guarantee a persistently exciting closed…

系统与控制 · 电气工程与系统科学 2021-11-22 Sven Brüggemann , Robert R. Bitmead

In this work, we consider the adaptive nonlinear control problem for strict feedback nonlinear systems, where the functions that determine the dynamics of the system are completely unknown. We assume that certain upper bounds for the…

系统与控制 · 电气工程与系统科学 2020-03-10 Deepan Muthirayan , Pramod P. Khargonekar

Given the high dimensionality and underlying complexity of many oscillatory dynamical systems, phase reduction is often an imperative first step in control applications where oscillation timing and entrainment are of interest.…

动力系统 · 数学 2021-02-10 Dan Wilson

Entrainment experiments on the vertebrate segmentation clock have revealed that embryonic oscillators actively change their internal frequency to adapt to the driving signal. This is neither consistent with a one-dimensional clock model nor…

生物物理 · 物理学 2024-08-27 Christian Mauffette Denis , Paul François

Replay in neural networks involves training on sequential data with memorized samples, which counteracts forgetting of previous behavior caused by non-stationarity. We present a method where these auxiliary samples are generated on the fly,…

机器学习 · 计算机科学 2020-12-15 Xu Ji , Joao Henriques , Tinne Tuytelaars , Andrea Vedaldi

The growth of a tissue, which depends on cell-cell interactions and biologically relevant process such as cell division and apoptosis, is regulated by a mechanical feedback mechanism. We account for these effects in a minimal…

软凝聚态物质 · 物理学 2022-07-06 Sumit Sinha , Xin Li , Rajsekhar Das , D. Thirumalai

Operation of the array of coupled oscillators underlying the associative memory function is demonstrated for various interconnection schemes (cross-connect, star phase keying and star frequency keying) and various physical implementation of…