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Synchronization and resonance on networks are some of the most remarkable collective dynamical phenomena. The network topology, or the nature and distribution of the connections within an ensemble of coupled oscillators, plays a crucial…

Dynamical Systems · Mathematics 2023-03-31 Paolo Bartesaghi

In many real-world systems, partial synchronization is the dominant dynamical regime and, in systems such as the brain, is often accompanied by collective oscillations in which multiple overlapping modes interact to produce complex rhythmic…

Adaptation and Self-Organizing Systems · Physics 2026-03-03 Ali Seif , Mina Zarei

It has become increasingly popular to study the brain as a network due to the realization that functionality cannot be explained exclusively by independent activation of specialized regions. Instead, across a large spectrum of behaviors,…

Neurons and Cognition · Quantitative Biology 2014-07-22 Petko Bogdanov , Nazli Dereli , Danielle S. Bassett , Scott T. Grafton , Ambuj K. Singh

Graph theoretical approach has proved an effective tool to understand, characterize and quantify the complex brain network. However, much less attention has been paid to methods that quantitatively compare two graphs, a crucial issue in the…

Neurons and Cognition · Quantitative Biology 2019-08-29 Ahmad Mheich , Fabrice Wendling , Mahmoud Hassan

Brain "rest" is defined -more or less unsuccessfully- as the state in which there is no explicit brain input or output. This work focuss on the question of whether such state can be comparable to any known \emph{dynamical} state. For that…

Disordered Systems and Neural Networks · Physics 2015-05-13 Daniel Fraiman , Pablo Balenzuela , Jennifer Foss , Dante R. Chialvo

We study synchronization dynamics of a population of pulse-coupled oscillators. In particular, we focus our attention in the interplay between networks topological disorder and its synchronization features. Firstly, we analyze…

Statistical Mechanics · Physics 2009-10-31 X. Guardiola , A. Diaz-Guilera , M. Llas , C. J. Perez

Working memory plays a crucial role in various aspects of human life. Therefore, it has been an area of interest in different research studies, especially neuroscience. The neuroscientists investigating working memory have primarily…

Neurons and Cognition · Quantitative Biology 2024-11-26 Sepehr Gourabi , Masoud Lotfalipour , Reza Khosrowabadi , Reza Jafari

Social behavior is a complex integrative function that entails many aspects of the brain's sensory, cognitive, emotional and motor capacities. Neural processes are seldom simultaneous but occur according to precise temporal and coordinative…

Neurons and Cognition · Quantitative Biology 2020-05-11 Emmanuelle Tognoli , J. A. Scott Kelso

The human brain exhibits a complex structure made of scale-free highly connected modules loosely interconnected by weaker links to form a small-world network. These features appear in healthy patients whereas neurological diseases often…

Neurons and Cognition · Quantitative Biology 2014-03-26 Roberta Russo , Hans J Herrmann , Lucilla de Arcangelis

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

In a recent paper, Bassett et al. (2011) have analyzed the static and dynamic organization of functional brain networks in humans. We here focus on the first claim made in this paper, which states that the static modular structure of such…

Quantitative Methods · Quantitative Biology 2011-06-30 Cedric E. Ginestet , Jonny O'Muircheartaigh , Owen G. O'Daly , Andrew Simmons

Recent analyses combining advanced theoretical techniques and high-quality data from thousands of simultaneously recorded neurons provide strong support for the hypothesis that neural dynamics operate near the edge of instability across…

Neurons and Cognition · Quantitative Biology 2024-03-25 Rubén Calvo , Carles Martorell , Guillermo B. Morales , Serena Di Santo , Miguel A. Muñoz

The stability of synchronization state in networks of oscillators are studied under the assumption that oscillators and their couplings have slightly mismatched parameters. A generalized master stability function is provided that takes the…

Dynamical Systems · Mathematics 2014-07-29 Saeed Manaffam , Alireza Seyedi

Most generally, dynamic functional connectivity (FC) refers to the non-instantaneous couplings across timeseries from a set of brain areas, here as measured by fMRI. This is in contrast to static FC, which is defined as purely instantaneous…

Neurons and Cognition · Quantitative Biology 2023-01-10 Christine Ahrends , Diego Vidaurre

Cognitive flexibility describes the human ability to switch between modes of mental function to achieve goals. Mental switching is accompanied by transient changes in brain activity, which must occur atop an anatomical architecture that…

Neurons and Cognition · Quantitative Biology 2016-11-29 John D. Medaglia , Weiyu Huang , Elisabeth A. Karuza , Sharon L. Thompson-Schill , Alejandro Ribeiro , Danielle S. Bassett

The brain is immensely complex, with diverse components and dynamic interactions building upon one another to orchestrate a wide range of functions and behaviors. Understanding patterns of these complex interactions and how they are…

Neurons and Cognition · Quantitative Biology 2024-08-06 Suman Kulkarni , Dani S. Bassett

We study how a coupled array of spiking chaotic systems synchronizes to an external driving in a short time. Synchronization means spike separation at adjacent sites much shorter than the average inter-spike interval; a local lack of…

Chaotic Dynamics · Physics 2007-09-10 M. Ciszak , A. Montina , F. T. Arecchi

Stroke-induced disturbances of large-scale cortical networks are known to be associated with the extent of motor deficits. We argue that identifying brain networks representative of motor behavior in the resting brain would provide…

Neurons and Cognition · Quantitative Biology 2019-07-24 Ozan Özdenizci , Timm Meyer , Felix Wichmann , Jan Peters , Bernhard Schölkopf , Müjdat Çetin , Moritz Grosse-Wentrup

In his book 'A Beautiful Question', physicist Frank Wilczek argues that symmetry is 'nature's deep design,' governing the behavior of the universe, from the smallest particles to the largest structures. While symmetry is a cornerstone of…

As a person learns a new skill, distinct synapses, brain regions, and circuits are engaged and change over time. In this paper, we develop methods to examine patterns of correlated activity across a large set of brain regions. Our goal is…

Neurons and Cognition · Quantitative Biology 2013-10-31 Danielle S. Bassett , Nicholas F. Wymbs , M. Puck Rombach , Mason A. Porter , Peter J. Mucha , Scott T. Grafton