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A rigorous understanding of brain dynamics and function requires a conceptual bridge between multiple levels of organization, including neural spiking and network-level population activity. Mounting evidence suggests that neural networks of…

Neurons and Cognition · Quantitative Biology 2016-10-11 Yahya Karimipanah , Zhengyu Ma , Ralf Wessel

We study the target control problem of asynchronous Boolean networks, to identify a set of nodes, the perturbation of which can drive the dynamics of the network from any initial state to the desired steady state (or attractor). We are…

Systems and Control · Electrical Eng. & Systems 2020-06-04 Cui Su , Jun Pang

Our mysterious brain is believed to operate near a non-equilibrium point and generate critical self-organized avalanches in neuronal activity. Recent experimental evidence has revealed significant heterogeneity in both synaptic input and…

Neurons and Cognition · Quantitative Biology 2018-07-12 Shengdun Wu , Yangsong Zhang , Yan Cui , Heng Li , Jiakang Wang , Lijun Guo , Yang Xia , Dezhong Yao , Peng Xu , Daqing Guo

The controllability of networks comprising homogeneous multi-input multi-output linear subsystems with linear couplings among them is examined, from a modal perspective. The eigenvalues of the network model are classified into two groups:…

Systems and Control · Computer Science 2018-05-08 Mengran Xue , Sandip Roy

The principles of neural encoding and computations are inherently collective and usually involve large populations of interacting neurons with highly correlated activities. While theories of neural function have long recognized the…

Neurons and Cognition · Quantitative Biology 2019-05-14 Christophe Gardella , Olivier Marre , Thierry Mora

In this paper, we demonstrate a conflicting relationship between two crucial properties---controllability and robustness---in linear dynamical networks of diffusively coupled agents. In particular, for any given number of nodes $N$ and…

Systems and Control · Computer Science 2020-07-15 Waseem Abbas , Mudassir Shabbir , A. Yasin Yazicioglu , Aqsa Akber

How the information microscopically processed by individual neurons is integrated and used in organizing the behavior of an animal is a central question in neuroscience. The coherence of neuronal dynamics over different scales has been…

Disordered Systems and Neural Networks · Physics 2020-03-11 Takashi Hayakawa , Tomoki Fukai

Predicting how the brain can be driven to specific states by means of internal or external control requires a fundamental understanding of the relationship between neural connectivity and activity. Network control theory is a powerful tool…

Neurons and Cognition · Quantitative Biology 2019-08-12 Teresa M. Karrer , Jason Z. Kim , Jennifer Stiso , Ari E. Kahn , Fabio Pasqualetti , Ute Habel , Danielle S. Bassett

In this work, we consider the so-called correlated random walk system (also known as correlated motion or persistent motion system), used in biological modelling, among other fields, such as chromatography. This is a linear system which can…

Analysis of PDEs · Mathematics 2025-01-22 Joaquín Menacho , Marta Pellicer , J. Solà-Morales

Collective dynamics result from interactions among noisy dynamical components. Examples include heartbeats, circadian rhythms, and various pattern formations. Because of noise in each component, collective dynamics inevitably involve…

Biological Physics · Physics 2010-09-09 Naoki Masuda , Yoji Kawamura , Hiroshi Kori

A wide range of multi-agent coordination problems including reference tracking and disturbance rejection requirements can be formulated as a cooperative output regulation problem. The general framework captures typical problems such as…

Systems and Control · Computer Science 2014-06-04 Georg Seyboth , Wei Ren , Frank Allgöwer

The idea of controlling the dynamics of spatially extended systems using a small number of localized perturbations is very appealing - such a setup is easy to implement in practice. However, when the distance between controllers generating…

Pattern Formation and Solitons · Physics 2009-11-07 Roman O. Grigoriev , Andreas Handel

Our ability to control complex systems is a fundamental challenge of contemporary science. Recently introduced tools to identify the driver nodes, nodes through which we can achieve full control, predict the existence of multiple control…

From an enactive approach, some previous studies have demonstrated that social interaction plays a fundamental role in the dynamics of neural and behavioral complexity of embodied agents. In particular, it has been shown that agents with a…

Multiagent Systems · Computer Science 2020-11-04 Georgina Montserrat Reséndiz-Benhumea , Ekaterina Sangati , Tom Froese

Even when driven by the same stimulus, neuronal responses are well-known to exhibit a striking level of spiking variability. In-vivo electrophysiological recordings also reveal a surprisingly large degree of variability at the subthreshold…

Neurons and Cognition · Quantitative Biology 2025-03-19 Logan A. Becker , Francois Baccelli , Thibaud Taillefumier

A mechanism for self-organization of the degree of connectivity in model neural networks is studied. Network connectivity is regulated locally on the basis of an order parameter of the global dynamics which is estimated from an observable…

Statistical Mechanics · Physics 2009-11-07 Stefan Bornholdt , Torsten Roehl

Stylized models of the neurodynamics that underpin sensory motor control in animals are proposed and studied. The voluntary motions of animals are typically initiated by high level intentions created in the primary cortex through a…

Systems and Control · Electrical Eng. & Systems 2021-10-12 John Baillieul , Zexin Sun

Models of complex networks often incorporate node-intrinsic properties abstracted as hidden variables. The probability of connections in the network is then a function of these variables. Real-world networks evolve over time, and many…

Physics and Society · Physics 2021-05-19 Harrison Hartle , Fragkiskos Papadopoulos , Dmitri Krioukov

Cognition is supported by neurophysiological processes that occur both in local anatomical neighborhoods and in distributed large-scale circuits. Recent evidence from network control theory suggests that white matter pathways linking…

Neurons and Cognition · Quantitative Biology 2016-06-30 John D. Medaglia , Shi Gu , Fabio Pasqualetti , Rebecca L. Ashare , Caryn Lerman , Joseph Kable , Danielle S. Bassett

Multiagent systems consist of agents that locally exchange information through a physical network subject to a graph topology. Current control methods for networked multiagent systems assume the knowledge of graph topologies in order to…

Optimization and Control · Mathematics 2015-01-15 Tansel Yucelen , John Daniel Peterson , Kevin L. Moore
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