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We investigate the role of connection density in an adaptive network model of chaotic units that dynamically rewire based on their internal states and local coherence. By systematically varying the network's connectivity density, we uncover…

Adaptation and Self-Organizing Systems · Physics 2025-08-19 Ramiro Plüss , Pablo Martín Gleiser

Many real-world complex networks simultaneously exhibit topological features of scale-free behaviour and hierarchical organization. In this regard, deterministic scale-free [A.-L. Barab\'asi \etal, Physica A, 299, 3 (2001)] and…

Physics and Society · Physics 2017-11-22 Chiranjit Mitra , Jürgen Kurths , Reik V. Donner

This paper presents the self-organized neuromorphic architecture named SOMA. The objective is to study neural-based self-organization in computing systems and to prove the feasibility of a self-organizing hardware structure. Considering…

Neural and Evolutionary Computing · Computer Science 2018-10-31 Lyes Khacef , Bernard Girau , Nicolas Rougier , Andres Upegui , Benoit Miramond

Spiking neural networks (SNNs) promise energy-efficient computation by mimicking biological neural dynamics, yet existing plasticity rules focus on isolated spike pairs and fail to leverage the synchronous activity patterns that drive…

Neural and Evolutionary Computing · Computer Science 2025-08-26 Yuchen Tian , Assel Kembay , Samuel Tensingh , Nhan Duy Truong , Jason K. Eshraghian , Omid Kavehei

Disordered spring networks that are undercoordinated may abruptly rigidify when sufficient strain is applied. Since the deformation in response to applied strain does not change the generic quantifiers of network architecture - the number…

Soft Condensed Matter · Physics 2017-11-29 Mathijs F. J. Vermeulen , Anwesha Bose , Cornelis Storm , Wouter G. Ellenbroek

Critical dynamics are assumed to be an attractive mode for normal brain functioning as information processing and computational capabilities are found to be optimized there. Recent experimental observations of neuronal activity patterns…

Neurons and Cognition · Quantitative Biology 2015-05-28 Christian Meisel , Alexander Storch , Susanne Hallmeyer-Elgner , Ed Bullmore , Thilo Gross

In previous work, we developed the scaled SIS process, which models the dynamics of SIS epidemics over networks. With the scaled SIS process, we can consider networks that are finite-sized and of arbitrary topology (i.e., we are not…

Social and Information Networks · Computer Science 2014-10-10 June Zhang , José M. F. Moura

Networked systems are systems of interconnected components, in which the dynamics of each component are influenced by the behavior of neighboring components. Examples of networked systems include biological networks, critical…

Systems and Control · Computer Science 2016-06-01 Andrew Clark , Basel Alomair , Linda Bushnell , Radha Poovendran

Information processing networks are the result of local rewiring rules. In many instances, such rules promote links where the activity at the two end nodes is positively correlated. The conceptual problem we address is what network…

Statistical Mechanics · Physics 2021-08-24 Anjan Roy , Serena Di Santo , Matteo Marsili

This paper presents new results and reinterpretation of existing conditions for strong structural controllability in a structured network determined by the zero/non-zero patterns of edges. For diffusively-coupled networks with self-loops,…

General Topology · Mathematics 2025-09-08 Nam-Jin Park , Seong-Ho Kwon , Yoo-Bin Bae , Byeong-Yeon Kim , Kevin L. Moore , Hyo-Sung Ahn

We propose a variation of the self organizing map algorithm by considering the random placement of neurons on a two-dimensional manifold, following a blue noise distribution from which various topologies can be derived. These topologies…

Neural and Evolutionary Computing · Computer Science 2020-11-20 Nicolas P. Rougier , Georgios Is. Detorakis

Large scale organization in ensembles of events of atmospheric convection can be generated by the combined effect of forcing and of the interaction between the raising plumes and the environment. Here the "large scale" refers to the space…

Atmospheric and Oceanic Physics · Physics 2014-04-18 F. Spineanu , M. Vlad , D. Palade

Many real networks present a bounded scale-free behavior with a connectivity cut-off due to physical constraints or a finite network size. We study epidemic dynamics in bounded scale-free networks with soft and hard connectivity cut-offs.…

Statistical Mechanics · Physics 2009-11-07 Romualdo Pastor-Satorras , Alessandro Vespignani

High connectivity and robustness are critical requirements in distributed networks, as they ensure resilience, efficient communication, and adaptability in dynamic environments. Additionally, optimizing energy consumption is also paramount…

Computational Physics · Physics 2024-12-09 Azra Seyyedi , Mahdi Bohlouli , SeyedEhsan Nedaaee Oskoee

We investigate the transition to synchronization in adaptive multilayer networks with higher-order interactions both analytically and numerically in the presence of phase frustration ($\beta$). The higher order topology consists of pairwise…

Adaptation and Self-Organizing Systems · Physics 2025-07-03 Anath Bandhu Das , Sangita Dutta , Pinaki Pal

Synchronized oscillations are of critical functional importance in many biological systems. We show that such oscillations can arise without centralized coordination in a disordered system of electrically coupled excitable and passive…

Adaptation and Self-Organizing Systems · Physics 2015-06-03 Rajeev Singh , Jinshan Xu , Nicolas Garnier , Alain Pumir , Sitabhra Sinha

The Self-Optimal-Transport (SOT) feature transform is designed to upgrade the set of features of a data instance to facilitate downstream matching or grouping related tasks. The transformed set encodes a rich representation of high order…

Computer Vision and Pattern Recognition · Computer Science 2022-04-08 Daniel Shalam , Simon Korman

We study synchronization dynamics in networks of coupled oscillators with bimodal distribution of natural frequencies. This setup can be interpreted as a simple model of frequency synchronization dynamics among generators and loads working…

Physics and Society · Physics 2012-07-03 Sergi Lozano , Lubos Buzna , Albert Díaz-Guilera

The original sandpile model of Bak, Tang and Wiesenfeld from 1987 has inspired lots of consequent work and further ideas of how to describe the birth of scale-invariant statistics in various systems and in particular models. In this article…

Statistical Mechanics · Physics 2007-05-23 Mikko Alava

Self-organisation is the spontaneous emergence of spatio-temporal structures and patterns from the interaction of smaller individual units. Examples are found across many scales in very different systems and scientific disciplines, from…