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This letter seeks to illuminate the profound connection between complexity, self-organization, emergent behaviour, pattern formation, and entropy concepts that are foundational to understanding our universe. By examining these ideas through…

Adaptation and Self-Organizing Systems · Physics 2025-03-25 Vinesh Vijayan , Karpagavalli K , Sandhiya Jenifer J , Prakash R

Synchronization, that occurs both for non-chaotic and chaotic systems, is a striking phenomenon with many practical implications in natural phenomena. However, even before synchronization, strong correlations occur in the collective…

Adaptation and Self-Organizing Systems · Physics 2022-01-14 Carlos Aguirre , R. Vilela Mendes

This work concerns a many-body deterministic model that displays life-like properties as emergence, complexity, self-organization, spontaneous compartmentalization, and self-regulation. The model portraits the dynamics of an ensemble of…

Adaptation and Self-Organizing Systems · Physics 2023-07-11 Alessandro Scirè , Valerio Annovazzi-Lodi

Online social dynamics based on human endeavours exhibit prominent complexity in the emergence of new features embodied in the appearance of collective social values. The vast amount of empirical data collected at various websites provides…

Physics and Society · Physics 2019-01-30 Bosiljka Tadic

This paper aims at providing a rigorous definition of self- organization, one of the most desired properties for dynamic systems (e.g., peer-to-peer systems, sensor networks, cooperative robotics, or ad-hoc networks). We characterize…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-11-11 Emmanuelle Anceaume , Xavier Défago , Maria Potop-Butucaru , Matthieu Roy

The spin market model [S. Bornholdt, Int.J.Mod.Phys. C 12 (2001) 667] is extended into co-evolutionary version, where strategies of interacting and competitive traders are represented by local and global couplings between the nodes of…

Adaptation and Self-Organizing Systems · Physics 2009-11-11 D. Horvath , Z. Kuscsik , M. Gmitra

Many economic activities are embedded in networks: sets of agents and the (often) rivalrous relationships connecting them to one another. Input sourcing by firms, interbank lending, scientific research, and job search are four examples,…

Econometrics · Economics 2019-12-16 Bryan S. Graham

The idea is advanced that self-organization in complex systems can be treated as decision making (as it is performed by humans) and, vice versa, decision making is nothing but a kind of self-organization in the decision maker nervous…

Adaptation and Self-Organizing Systems · Physics 2014-08-08 V. I. Yukalov , D. Sornette

Most of the grand challenges of humanity today involve complex agent-based systems, such as epidemiology, economics or ecology. However, remains as a pending task the challenge of identifying the general principles underlying their…

General Finance · Quantitative Finance 2020-10-19 Martin Jaraiz

Complex networks are universal, arising in fields as disparate as sociology, physics, and biology. In the past decade, extensive research into the properties and behaviors of complex systems has uncovered surprising commonalities among the…

Other Quantitative Biology · Quantitative Biology 2015-06-26 Claire Christensen , Reka Albert

We apply path-integral techniques to study the dynamics of agent-based models with asymmetric information structures. In particular, we devise a batch version of a model proposed originally by Berg et al. [Quant. Fin. 1 (2001) 203], and…

Disordered Systems and Neural Networks · Physics 2009-11-11 Andrea De Martino , Tobias Galla

We explore the coupled dynamics of the internal states of a set of interacting elements and the network of interactions among them. Interactions are modeled by a spatial game and the network of interaction links evolves adapting to the…

Other Condensed Matter · Physics 2007-09-23 Martin G. Zimmermann , Victor M. Eguiluz , Maxi San Miguel

The aim of this paper is to study the derivation of appropriate meso- and macroscopic models for interactions as appearing in social processes. There are two main characteristics the models take into account, namely a network structure of…

Analysis of PDEs · Mathematics 2020-06-30 Martin Burger

Self-organization of a biologically motivated swarm into smaller subgroups of different velocities is found by solving a 1-dimensional adaptive-velocity swarm, in which the velocity of an agent is averaged over a finite local radius of…

Adaptation and Self-Organizing Systems · Physics 2013-09-13 Jiangning Chen , Weituo Zhang , Chjan C. Lim

Cooperation and self-organized criticality are two main keywords in current studies of evolution. We propose a generalized Bak-Sneppen model and provide a natural mechanism which accounts for both phenomena simultaneously. We use the…

Data Analysis, Statistics and Probability · Physics 2015-03-17 Sangmin Park , Hyeong-Chai Jeong

Many empirical networks are intrinsically pluralistic, with interactions occurring within groups of arbitrary agents. Then the agent in the network can be influenced by types of neighbors, common examples include similarity, opposition, and…

Physics and Society · Physics 2020-05-12 Shuo Liu , Xiwang Guan , Shuangling Luo , Haoxiang Xia

In recent years networks have gained unprecedented attention in studying a broad range of topics, among them in complex systems research. In particular, multi-agent systems have seen an increased recognition of the importance of the…

Physics and Society · Physics 2007-05-23 László Gulyás , Elenna R. Dugundji

We study expanding circle maps interacting in a heterogeneous random network. Heterogeneity means that some nodes in the network are massively connected, while the remaining nodes are only poorly connected. We provide a probabilistic…

Dynamical Systems · Mathematics 2013-08-27 Tiago Pereira , Sebastian van Strien , Jeroen S. W. Lamb

The Minority Game framework was recently generalized to account for the possibility that agents adapt not only through strategy selection but also by diversifying their response according to the kind of dynamical regime, or the risk, they…

Disordered Systems and Neural Networks · Physics 2009-11-11 A. Tedeschi , A. De Martino , I. Giardina

The dynamics of systems of interacting agents is determined by the structure of their coupling network. The knowledge of the latter is, therefore, highly desirable, for instance, to develop efficient control schemes, to accurately predict…

Adaptation and Self-Organizing Systems · Physics 2021-10-13 Melvyn Tyloo , Robin Delabays , Philippe Jacquod