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Many physical and biological systems can be studied using complex network theory, a new statistical physics understanding of graph theory. The recent application of complex network theory to the study of functional brain networks generated…

Neurons and Cognition · Quantitative Biology 2014-06-17 D. Papo , M. Zanin , J. A. Pineda-Pardo , S. Boccaletti , J. M. Buldú

Recent experiments have highlighted how collective dynamics in networks of brain regions affect behavior and cognitive function. In this paper we show that a simple, homogeneous system of densely connected oscillators representing the…

Pattern Formation and Solitons · Physics 2013-05-31 Rajeev Singh , Shakti N. Menon , Sitabhra Sinha

We propose a neural network model of multi-neuron interacting system that simulates neurons to interact each other through the surroundings of neuronal cell bodies. We physically model the neuronal cell surroundings, include the dendrites,…

Neurons and Cognition · Quantitative Biology 2021-07-05 Yu-Juan Sun , Wei-Min Zhang

Intrinsic brain activity is characterized by highly structured co-activations between different regions, whose origin is still under debate. In this paper, we address the question whether it is possible to unveil how the underlying…

The cooperative behaviour of interacting neurons and synapses is studied using models and methods from statistical physics. The competition between training error and entropy may lead to discontinuous properties of the neural network. This…

Disordered Systems and Neural Networks · Physics 2017-02-08 Wolfgang Kinzel

It is shown how many-body correlations involving the symmetry potential naturally arise in the molecular dynamics CoMD-II model. The effect of these correlations on the collision dynamics at the Fermi energies is discussed. Small level of…

Nuclear Theory · Physics 2009-02-19 M. Papa , G. Giuliani

Most nervous systems encode information about stimuli in the responding activity of large neuronal networks. This activity often manifests itself as dynamically coordinated sequences of action potentials. Since multiple electrode recordings…

Neurons and Cognition · Quantitative Biology 2011-11-09 Kristina Lisa Klinkner , Cosma Rohilla Shalizi , Marcelo F. Camperi

The study of networks plays a crucial role in investigating the structure, dynamics, and function of a wide variety of complex systems in myriad disciplines. Despite the success of traditional network analysis, standard networks provide a…

Physics and Society · Physics 2017-04-05 Manlio De Domenico , Clara Granell , Mason A. Porter , Alex Arenas

The brain is a complex system comprising a myriad of interacting elements, posing significant challenges in understanding its structure, function, and dynamics. Network science has emerged as a powerful tool for studying such intricate…

In this paper we study the emergence of coherence in collective motion described by a system of interacting motiles endowed with an inner, adaptative, steering mechanism. By means of a nonlinear parametric coupling, the system elements are…

Chaotic Dynamics · Physics 2015-05-19 Anselmo Garcia Cantu Ros , Chris Antonopoulos , Vasileios Basios

Interacting systems are ubiquitous in nature and engineering, ranging from particle dynamics in physics to functionally connected brain regions. These interacting systems can be modeled by graphs where edges correspond to the interactions…

Machine Learning · Computer Science 2024-01-25 Zhichao Han , Olga Fink , David S. Kammer

The structure of interconnected systems and its impact on the system dynamics is a much-studied cross-disciplinary topic. Although various critical phenomena have been found in different models, the study on the connections between…

Statistical Mechanics · Physics 2020-08-03 Ming Li , Linyuan Lü , Youjin Deng , Mao-Bin Hu , Hao Wang , Matúš Medo , H. Eugene Stanley

In this paper, we will argue that if we want to understand the function of the brain (or the control in the case of robots), we must understand how the brain is embedded into the physical system, and how the organism interacts with the real…

Artificial Intelligence · Computer Science 2012-02-03 Matej Hoffmann , Rolf Pfeifer

In this paper, we present a physically informed neural network representation of the effective interactions associated with coupled-cluster downfolding models to describe chemical systems and processes. The neural network representation not…

Quantum Physics · Physics 2025-01-28 Senwei Liang , Karol Kowalski , Chao Yang , Nicholas P. Bauman

A two-component interaction model is introduced herein, which allows to describe macroscopic miscibility with various modes of tunable micro-segregation, ranging from phase separation to micro-segregation, and in excellent agreement for…

Chemical Physics · Physics 2019-02-13 Anthony Baptista , Aurélien Perera

Tensor networks were developed in the context of many-body physics as compressed representations of multiparticle quantum states. These representations mitigate the exponential complexity of many-body systems by capturing only the most…

Machine Learning · Computer Science 2026-04-17 Guillermo Valverde , Igor García-Olaizola , Giannicola Scarpa , Alejandro Pozas-Kerstjens

Quantum coherence is a fundamental characteristic to distinguish quantum systems from their classical counterparts. Though quantum coherence persists in isolated non-interacting systems, interactions inevitably lead to decoherence, which is…

Quantum Gases · Physics 2017-11-15 Ke-Ji Chen , Ho Kwan Lau , Hon Ming Chan , Dajun Wang , Qi Zhou

We present a new paradigm in the study of brain mental dynamics on the basis of the stable transient activity neural networks observed in experiments. This new approach is in contrast to traditional system analysis usually adopted in…

Adaptation and Self-Organizing Systems · Physics 2009-09-08 Mikhail I. Rabinovich , Mehmet K. Muezzinoglu

The information implicitly represented in the state of physical systems allows one to analyze them with analytical techniques from statistical mechanics and information theory. In the case of complex networks such techniques are inspired by…

Physics and Society · Physics 2023-08-09 Wout Merbis , Manlio de Domenico

In a network of dynamical systems, concurrent synchronization is a regime where multiple groups of fully synchronized elements coexist. In the brain, concurrent synchronization may occur at several scales, with multiple ``rhythms''…

Neurons and Cognition · Quantitative Biology 2007-05-23 Quang-Cuong Pham , Jean-Jacques Slotine