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Oscillatory activity is ubiquitous in natural and engineered network systems. The interaction scheme underlying interdependent oscillatory components governs the emergence of network-wide patterns of synchrony that regulate and enable…

Adaptation and Self-Organizing Systems · Physics 2022-08-12 Tommaso Menara , Giacomo Baggio , Danielle S. Bassett , Fabio Pasqualetti

Brain networks typically exhibit characteristic synchronization patterns where several synchronized clusters coexist. On the other hand, neurological disorders are considered to be related to pathological synchronization such as excessive…

Systems and Control · Electrical Eng. & Systems 2025-07-31 Ryota Kokubo , Rui Kato , Hideaki Ishii

A new collective behavior of resonant synchronization is discovered and the ability to retrieve information from brain memory is proposed based on this mechanism. We use modified Kuramoto phase oscillator to simulate the dynamics of a…

Adaptation and Self-Organizing Systems · Physics 2018-09-06 Lin Zhang , Xv Li , Tingting Xue

Populations of oscillators are present throughout nature. Very often synchronization is observed in such populations if they are allowed to interact. A paradigmatic model for the study of such phenomena has been the Kuramoto model. However,…

Adaptation and Self-Organizing Systems · Physics 2022-06-08 Keith A. Kroma-Wiley , Peter J. Mucha , Dani S. Bassett

This paper presents a nonlinear control framework for steering networks of coupled oscillators toward desired phase-locked configurations. Inspired by brain dynamics, where structured phase differences support cognitive functions, the focus…

Systems and Control · Electrical Eng. & Systems 2025-04-28 Adnan Tahirovic

Synchronization is a ubiquitous phenomenon in nature. Although it is necessary for the functioning of many systems, too much synchronization can also be detrimental, e.g., (partially) synchronized brain patterns support high-level cognitive…

Dynamical Systems · Mathematics 2025-03-27 Martin Moriamé , Maxime Lucas , Timoteo Carletti

Functional connectomes capture brain interactions via synchronized fluctuations in the functional magnetic resonance imaging signal. If measured during rest, they map the intrinsic functional architecture of the brain. With task-driven…

Neurons and Cognition · Quantitative Biology 2013-04-16 Gaël Varoquaux , R. C. Craddock

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

We study a Kuramoto model in which the oscillators are associated with the nodes of a complex network and the interactions include a phase frustration, thus preventing full synchronization. The system organizes into a regime of remote…

Adaptation and Self-Organizing Systems · Physics 2013-04-30 Vincenzo Nicosia , Miguel Valencia , Mario Chavez , Albert Díaz-Guilera , Vito Latora

Brain imaging data mapping onto human connectome networks enables the investigation of global brain dynamics, where the brain hubs play an essential role in transferring activity between different brain parts. At this scale, the…

Pattern Formation and Solitons · Physics 2025-07-11 Bosiljka Tadic , Marija Mitrovic Dankulov , Roderick Melnik

Functional connectivity is a key approach to investigate oscillatory activities of the brain that provides important insights on the underlying dynamic of neuronal interactions and that is mostly applied for brain activity analysis.…

Neurons and Cognition · Quantitative Biology 2022-02-17 Marie-Constance Corsi , Sylvain Chevallier , Fabrizio De Vico Fallani , Florian Yger

At the macroscale, the brain operates as a network of interconnected neuronal populations, which display rhythmic dynamics that support interareal communication. Understanding how stimulation of a particular brain area impacts such…

Neurons and Cognition · Quantitative Biology 2020-11-12 Lia Papadopoulos , Christopher W. Lynn , Demian Battaglia , Danielle S. Bassett

Since the earliest electroencephalography experiments, large scale oscillations have been observed in the mammalian brain. More recently, episodes of oscillation and bursting have been identified not only in the cerebral cortex and…

Neurons and Cognition · Quantitative Biology 2025-09-03 Daniel Pouzzner

Whole-brain computational modeling based on structural connectivity has shown great promise in successfully simulating fMRI BOLD signals with temporal co-activation patterns that are highly similar to empirical functional connectivity…

Neurons and Cognition · Quantitative Biology 2019-11-14 Neda Kaboodvand , Martijn P van den Heuvel , Peter Fransson

Synchronization of an ensemble of oscillators is an emergent phenomenon present in several complex systems, ranging from social and physical to biological and technological systems. The most successful approach to describe how coherent…

Adaptation and Self-Organizing Systems · Physics 2016-01-19 Francisco A. Rodrigues , Thomas K. DM. Peron , Peng Ji , Jürgen Kurths

Synchronization of non-identical oscillators coupled through complex networks is an important example of collective behavior. It is interesting to ask how the structural organization of network interactions influences this process. Several…

Adaptation and Self-Organizing Systems · Physics 2017-09-13 Lia Papadopoulos , Jason Kim , Jurgen Kurths , Danielle S. Bassett

While phase oscillators are often used to model neuronal populations, in contrast to the Kuramoto paradigm, strong interactions between brain areas can be associated with loss of synchrony. Using networks of coupled oscillators described by…

Neurons and Cognition · Quantitative Biology 2020-11-12 Richa Tripathi , Shakti N. Menon , Sitabhra Sinha

Global brain activity self-organizes into discrete patterns characterized by distinct behavioral observables and modes of information processing. The human thalamocortical system is a densely connected network where local neural activation…

Synchronization of neurons forming a network with a hierarchical structure is essential for the brain to be able to function optimally. In this paper we study synchronization of phase oscillators on the most basic example of such a network,…

Disordered Systems and Neural Networks · Physics 2019-07-29 Diego Garlaschelli , Frank den Hollander , Janusz Meylahn , Benthen Zeegers

A fundamental understanding of synchronized behavior in multi-agent systems can be acquired by studying analytically tractable Kuramoto models. However, such models typically diverge from many real systems whose dynamics evolve under…

Adaptation and Self-Organizing Systems · Physics 2021-07-28 Keith A. Wiley , Peter J. Mucha , Danielle S. Bassett
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