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We propose to model the persistent-transient duality in human behavior using a parent-child multi-channel neural network, which features a parent persistent channel that manages the global dynamics and children transient channels that are…

Computer Vision and Pattern Recognition · Computer Science 2022-04-22 Hung Tran , Vuong Le , Svetha Venkatesh , Truyen Tran

The activity patterns of highly developed cognitive systems like the human brain are dominated by autonomous dynamical processes, that is by a self-sustained activity which would be present even in the absence of external sensory stimuli.…

Neurons and Cognition · Quantitative Biology 2008-04-14 Claudius Gros , Gregor Kaczor

Transient phenomena play a key role in coordinating brain activity at multiple scales, however,their underlying mechanisms remain largely unknown. A key challenge for neural data science is thus to characterize the network interactions at…

Neurons and Cognition · Quantitative Biology 2022-09-16 Kaidi Shao , Nikos K. Logothetis , Michel Besserve

The brain works as a dynamic system to process information. Various challenges remain in understanding the connection between information and dynamics attributes in the brain. The present research pursues exploring how the characteristics…

Neurons and Cognition · Quantitative Biology 2022-07-14 Yang Tian , Guoqi Li , Pei Sun

Activity in the human brain moves between diverse functional states to meet the demands of our dynamic environment, but fundamental principles guiding these transitions remain poorly understood. Here, we capitalize on recent advances in…

This paper is a preliminary work to address the problem of dynamical systems with parameters varying in time. An idea to predict their behaviour is proposed. These systems are called \emph{transient systems}, and are distinguished from…

Dynamical Systems · Mathematics 2014-11-04 Ugo Galvanetto , Luca Magri

Understanding how transient dynamics unfold in response to localized inputs is central to predicting and controlling signal propagation in network systems, including neural processing, epidemic intervention, and power-grid resilience.…

Physics and Society · Physics 2025-10-23 Xiaoge Bao , Wei P. Dai , Jan Nagler , Wei Lin

Network control theory has recently emerged as a promising approach for understanding brain function and dynamics. By operationalizing notions of control theory for brain networks, it offers a fundamental explanation for how brain dynamics…

Quantitative Methods · Quantitative Biology 2020-03-20 Shikuang Deng , Shi Gu

The human brain is autonomously active. To understand the functional role of this self-sustained neural activity, and its interplay with the sensory data input stream, is an important question in cognitive system research and we review here…

Neurons and Cognition · Quantitative Biology 2009-03-03 Claudius Gros

The principled design and discovery of biologically- and physically-informed models of neuronal dynamics has been advancing since the mid-twentieth century. Recent developments in artificial intelligence (AI) have accelerated this progress.…

Neurons and Cognition · Quantitative Biology 2021-12-24 Mahta Ramezanian Panahi , Germán Abrevaya , Jean-Christophe Gagnon-Audet , Vikram Voleti , Irina Rish , Guillaume Dumas

Spatio-temporal network dynamics is an emergent property of many complex systems which remains poorly understood. We suggest a new approach to its study based on the analysis of dynamical motifs -- small subnetworks with periodic and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Valentin P. Zhigulin

We report measurements of the brain activity of subjects engaged in behavioral exchanges with their environments. We observe brain states which are characterized by coordinated oscillation of populations of neurons that are changing rapidly…

Neurons and Cognition · Quantitative Biology 2007-05-23 Walter J. Freeman , Giuseppe Vitiello

Generative models of brain activity have been instrumental in testing hypothesized mechanisms underlying brain dynamics against experimental datasets. Beyond capturing the key mechanisms underlying spontaneous brain dynamics, these models…

Neurons and Cognition · Quantitative Biology 2024-11-18 Rishikesan Maran , Eli J. Müller , Ben D. Fulcher

Understanding how neural dynamics shape cognitive experiences remains a central challenge in neuroscience and psychiatry. Here, we present a novel framework leveraging state-to-output controllability from dynamical systems theory to model…

Although individual neurons and neural populations exhibit the phenomenon of representational drift, perceptual and behavioral outputs of many neural circuits can remain stable across time scales over which representational drift is…

Whereas the importance of transient dynamics to the functionality and management of complex systems has been increasingly recognized, most of the studies are based on models. Yet in realistic situations the models are often unknown and what…

Adaptation and Self-Organizing Systems · Physics 2021-10-25 Huawei Fan , Liang Wang , Yao Du , Yafeng Wang , Jinghua Xiao , Xingang Wang

Cognition is the process of knowing. As carried out by a dynamical system, it is the process by which the system absorbs information into its state. A complex network of agents cognizes knowledge about its environment, internal dynamics and…

Multiagent Systems · Computer Science 2022-07-13 Jack Hall

The primary tasks of a cognitive system is to survive and to maximize a life-long utility function, like the number of offsprings. A direct computational maximization of life-long utility is however not possible in complex environments,…

Neurons and Cognition · Quantitative Biology 2010-05-25 Claudius Gros

One of the basic frameworks in science views behavioral products as a process within a dynamic system. The mechanism might be seen as a representation of many instances of centralized control in real time. Many real systems, however,…

Dynamical Systems · Mathematics 2019-08-19 Chulwook Park

Analysis of mathematical models in ecology and epidemiology often focuses on asymptotic dynamics, such as stable equilibria and periodic orbits. However, many systems exhibit long transient behaviors where certain aspects of the dynamics…

Dynamical Systems · Mathematics 2025-11-06 Anthony Pasion , Felicia Magpantay
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