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It has been postulated that the brain operates in a self-organized critical state that brings multiple benefits, such as optimal sensitivity to input. Thus far, self-organized criticality has typically been depicted as a one-dimensional…

适应与自组织系统 · 物理学 2023-05-08 Silja Sormunen , Thilo Gross , Jari Saramäki

Recent studies of dynamic properties in complex systems point out the profound impact of hidden geometry features known as simplicial complexes, which enable geometrically conditioned many-body interactions. Studies of collective behaviours…

统计力学 · 物理学 2021-09-15 Malayaja Chutani , Bosiljka Tadic , Neelima Gupte

We investigate the dynamics of large, globally-coupled systems of Kuramoto oscillators with heterogeneous interaction delays. For the case of exponentially distributed time delays we derive the full stability diagram that describes the…

适应与自组织系统 · 物理学 2018-07-04 Per Sebastian Skardal

Neural networks with equal excitatory and inhibitory feedback show high computational performance. They operate close to a critical point characterized by the joint activation of large populations of neurons. Yet, in macaque motor cortex we…

无序系统与神经网络 · 物理学 2019-08-13 David Dahmen , Sonja Grün , Markus Diesmann , Moritz Helias

We study the synchronisation properties of the Kuramoto model of coupled phase oscillators on a general network. Here we distinguish the ability of such a system to self-synchronise from the stability of this behaviour. While…

斑图形成与孤子 · 物理学 2015-05-14 Alexander C. Kalloniatis

We investigate the role of the spectral dimension $d_s$ in determining the universality of phase transitions on a complex network. Due to its structural heterogeneity, a complex network generally acts as a disordered system. Specifically,…

统计力学 · 物理学 2024-07-30 Mrinal Sarkar , Tilman Enss , Nicolò Defenu

This paper studies change-points in human brain functional connectivity (FC) and seeks patterns that are common across multiple subjects under identical external stimulus. FC relates to the similarity of fMRI responses across different…

神经元与认知 · 定量生物学 2020-03-05 Mengyu Dai , Zhengwu Zhang , Anuj Srivastava

Understanding the intricate architecture of brain networks and its connection to brain function is essential for deciphering the underlying principles of cognition and disease. While traditional graph-theoretical measures have been widely…

混沌动力学 · 物理学 2025-11-13 Anca Radulescu , Eva Kaslik , Alexandru Fikl , Johan Nakuci , Sarah Muldoon , Michael Anderson

The perceived risk and reward for a given situation can vary depending on resource availability, accumulated wealth, and other extrinsic factors such as individual backgrounds. Based on this general aspect of everyday life, here we use…

统计力学 · 物理学 2021-12-07 Marco A. Amaral , Marcelo M. de Oliveira

Despite the large number of studies on synchronization, the hypothesis that interactions bear a cost for involved individuals has been considered seldom. The introduction of costly interactions leads, instead, to the formulation of a…

物理与社会 · 物理学 2017-09-06 Alberto Antonioni , Alessio Cardillo

Networks of coupled dynamical units give rise to collective dynamics such as the synchronization of oscillators or neurons in the brain. The ability of the network to adapt coupling strengths between units in accordance with their activity…

适应与自组织系统 · 物理学 2023-05-17 Benjamin Jüttner , Erik Andreas Martens

Models of coupled oscillator networks play an important role in describing collective synchronization dynamics in biological and technological systems. The Kuramoto model describes oscillator's phase evolution and explains the transition…

适应与自组织系统 · 物理学 2024-06-19 Marios Antonios Gkogkas , Benjamin Jüttner , Christian Kuehn , Erik Andreas Martens

In the context of the celebrated Kuramoto model of globally-coupled phase oscillators of distributed natural frequencies, which serves as a paradigm to investigate spontaneous collective synchronization in many-body interacting systems, we…

适应与自组织系统 · 物理学 2017-09-20 Shamik Gupta

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…

无序系统与神经网络 · 物理学 2020-03-11 Takashi Hayakawa , Tomoki Fukai

Using a generalized random recurrent neural network model, and by extending our recently developed mean-field approach [J. Aljadeff, M. Stern, T. Sharpee, Phys. Rev. Lett. 114, 088101 (2015)], we study the relationship between the network…

无序系统与神经网络 · 物理学 2016-02-09 Johnatan Aljadeff , David Renfrew , Marina Vegué , Tatyana O. Sharpee

Network structure strongly constrains the range of dynamic behaviors available to a complex system. These system dynamics can be classified based on their response to perturbations over time into two distinct regimes, ordered or chaotic,…

无序系统与神经网络 · 物理学 2009-11-13 Matti Nykter , Nathan D. Price , Antti Larjo , Tommi Aho , Stuart A. Kauffman , Olli Yli-Harja , Ilya Shmulevich

Is the brain really operating at a critical point? We study the non-equilibrium properties of a neural network which models the dynamics of the neocortex and argue for optimal quasi-critical dynamics on the Widom line where the correlation…

神经元与认知 · 定量生物学 2015-06-19 Rashid V. Williams-Garcia , Mark Moore , John M. Beggs , Gerardo Ortiz

The connectomes of different human brains are pairwise distinct: we cannot talk about an abstract "graph of the brain". Two typical connectomes, however, have quite a few common graph edges that may describe the same connections between the…

神经元与认知 · 定量生物学 2015-01-07 Balazs Szalkai , Csaba Kerepesi , Balint Varga , Vince Grolmusz

We discuss in detail a human scale example of the synchronization phenomenon, namely the dynamics of the rhythmic applause. After a detailed experimental investigation, we describe the phenomenon with an approach based on the classical…

统计力学 · 物理学 2009-10-31 Z. Neda , E. Ravasz , T. Vicsek , Y. Brechet , A. L. Barabasi

It is widely believed that the formation of brain network structure is under the pressure of optimal trade-off between reducing wiring cost and promoting communication efficiency. However, the question of whether this trade-off exists in…

神经元与认知 · 定量生物学 2020-12-10 Junji Ma , Jinbo Zhang , Ying Lin , Zhengjia Dai