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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

Historical narratives are dominated by actions of powerful individuals as well as competitions for power. Characterizing the origins, types and competitive strength of different kinds of power may yield a scaffolding for understanding…

Physics and Society · Physics 2018-11-08 Yaneer Bar-Yam

The relevance of chaos to evolution is discussed in the context of the origin and maintenance of diversity and complexity. Evolution to the edge of chaos is demonstrated in an imitation game. As an origin of diversity, dynamic clustering of…

adap-org · Physics 2008-02-03 Kunihiko Kaneko

We review the properties of the self-organized critical (SOC) forest-fire model. The paradigm of self-organized criticality refers to the tendency of certain large dissipative systems to drive themselves into a critical state independent of…

Statistical Mechanics · Physics 2016-08-31 Siegfried Clar , Barbara Drossel , Franz Schwabl

The characterization of global energy storage and release in the coupled solar wind-magnetosphere system remains one of the fundamental problems of space physics.Recently, it has been realised that a new paradigm in physics, that of Self…

Astrophysics · Physics 2021-04-28 Sandra Chapman , Nicholas Watkins

Complexity Theory is highly interdisciplinary, therefore any regularities must hold on all levels of organization, independent on the nature of the system. An open question in science is how complex systems self-organize to produce emergent…

Solar and Stellar Astrophysics · Physics 2022-02-07 Travis Herman Butler , Georgi Yordanov Georgiev

The process of social expansion in Europe can be better understood with various concepts related to complexity science. Findings of exploratory research show a typical process of social expansion in Europe within the period 1495-1945, in…

Adaptation and Self-Organizing Systems · Physics 2008-10-01 Ingo Piepers

The Stock Market is a complex self-interacting system, characterized by an intermittent behaviour. Periods of high activity alternate with periods of relative calm. In the present work we investigate empirically about the possibility that…

Other Condensed Matter · Physics 2016-08-31 M. Bartolozzi , D. B. Leinweber , A. W. Thomas

Using data from co-authorships at the international level in all fields of science in 1990 and 2000, and within six case studies at the sub-field level in 2000, different explanations for the growth of international collaboration in science…

Physics and Society · Physics 2009-11-24 Caroline S. Wagner , Loet Leydesdorff

Classic economic science is reaching the limits of its explanatory powers. Complexity science uses an increasingly larger set of different methods to analyze physical, biological, cultural, social, and economic factors, providing a broader…

General Finance · Quantitative Finance 2017-07-11 Klaus Jaffe

To understand how certain dynamical behaviors can or cannot persist as the underlying network grows is a problem of increasing importance in complex dynamical systems as well as sustainability science and engineering. We address the…

Adaptation and Self-Organizing Systems · Physics 2016-01-07 Yafeng Wang , Huawei Fan , Ying-Cheng Lai , Xingang Wang

Power laws in nature are considered to be signatures of complexity. The theory of self-organized criticality (SOC) was proposed to explain their origins. A longstanding principle of SOC is the \emph{separation of timescales} axiom. It…

Neurons and Cognition · Quantitative Biology 2019-07-03 Anirban Das , Anna Levina

The main result of this letter is that SOC naturally arises as a result of memory effects. We show that memory effects provide the mechanism for self organization. A general procedure to investigate this issue in models that display self…

Condensed Matter · Physics 2007-05-23 Matteo Marsili , Guido Caldarelli

An extended data set of extreme ultraviolet images of the solar corona provided by the SOHO spacecraft are analyzed using statistical methods common to studies of self-organized criticality (SOC) and intermittent turbulence (IT). The data…

Astrophysics · Physics 2008-11-26 Vadim M. Uritsky , Maya Paczuski , Joseph M. Davila , Shaela I. Jones

This work considers to achieve near-optimal operation for a class of batch processes by employing self-optimizing control (SOC). Comparing with a continuous one, a batch process exhibits stronger nonlinearity with dynamics because of the…

Optimization and Control · Mathematics 2026-05-08 Chenchen Zhou , Hongxin Su , Xinhui Tang , Yi Cao , Shuang-hua Yang

Scholars have long hypothesized that democratic forms of government are more compatible with scientific advancement. However, empirical analysis testing the democracy-science compatibility hypothesis remains underdeveloped. This article…

Digital Libraries · Computer Science 2021-09-01 Travis A. Whetsell , Koen Jonkers , Ana-Maria Dimand , Jeroen Baas , Caroline S. Wagner

Although very large wars remain an enduring threat in global politics, we lack a clear understanding of how some wars become large and costly, while most do not. There are three possibilities: large conflicts start with and maintain intense…

Physics and Society · Physics 2025-03-07 Aaron Clauset , Barbara F. Walter , Lars-Erik Cederman , Kristian Skrede Gleditsch

Nature's many varied complex systems (including galaxies, stars, planets, life, and society) are islands of order within the increasingly disordered universe. All organized systems are subject to physical, biological or cultural evolution,…

Popular Physics · Physics 2014-06-12 Eric J. Chaisson

The use of special operations forces (SOF) in war fighting and peace keeping efforts has increased dramatically in recent decades. A scientific understanding of the reason for this increase would provide guidance as to the contexts in which…

Physics and Society · Physics 2016-03-16 Joseph Norman , Yaneer Bar-Yam

In this chapter 2 of the e-book "Self-Organized Criticality Systems" we summarize the classical cellular automaton models, which consist of a statistical aspect that is universal to all SOC systems, and a physical aspect that depends on the…

Solar and Stellar Astrophysics · Physics 2012-04-24 Markus J. Aschwanden