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A nonlinearly coupled system of bouncing balls is shown to exhibit features like self-organised-criticality (SOC) and punctuated equilibrium (PE) in suitable parameter domains. The temporal evolution of the non-stationary amplitudes is…

Chaotic Dynamics · Physics 2016-08-17 Kaushal Gianchandani , A. N. Sekar Iyengar , Prasanta K. Panigrahi

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

We investigate structural features and processes associated with the onset of systemic conflict using an approach which integrates complex systems theory with network modeling and analysis. We present a signed network model of cooperation…

Social and Information Networks · Computer Science 2022-03-10 Megan Morrison , J. Nathan Kutz , Michael Gabbay

The question how complex systems become more organized and efficient with time is open. Examples are, the formation of elementary particles from pure energy, the formation of atoms from particles, the formation of stars and galaxies, the…

Physics and Society · Physics 2017-01-17 Georgi Georgiev , Atanu Chatterjee , Germano Iannacchione

We have studied the collective behavior of a population of integrate-and-fire oscillators. We show that diversity, introduced in terms of a random distribution of natural periods, is the mechanism that permits to observe self-organized…

Condensed Matter · Physics 2009-10-30 Alvaro Corral , Conrad J. Perez , Albert Diaz-Guilera

In this paper, a simple dynamical model in which fractal networks are formed by self-organized critical (SOC) dynamics is proposed; the proposed model consists of growth and collapse processes. It has been shown that SOC dynamics are…

Physics and Society · Physics 2019-01-18 Shogo Mizutaka

It is proposed that self-organisation (SO) in non-equilibrium systems is governed by a general principle: it emerges when a minute subset of system configurations are exceptionally stable and long-lived to survive the noise generated by the…

Statistical Mechanics · Physics 2026-04-20 Raphael Blumenfeld

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

In this chapter we discuss how the results developed within the theory of fractals and Self-Organized Criticality (SOC) can be fruitfully exploited as ingredients of adaptive network models. In order to maintain the presentation…

Disordered Systems and Neural Networks · Physics 2014-04-28 Guido Caldarelli , Diego Garlaschelli

The Late Pleistocene Antarctic temperature variation curve is decomposed into two parts: cyclic and stochastic. These two parts represent different but tightly interconnected processes and also represent two different types of…

Atmospheric and Oceanic Physics · Physics 2014-05-20 Lev A. Maslov

In this chapter the complex systems are discussed in the context of economic and business policy and decision making. It will be showed and motivated that social systems are typically chaotic, non-linear and/or non-equilibrium and therefore…

General Finance · Quantitative Finance 2015-03-20 Robert Kitt

We present a general conceptual framework for self-organized criticality (SOC), based on the recognition that it is nothing but the expression, ''unfolded'' in a suitable parameter space, of an underlying {\em unstable} dynamical critical…

adap-org · Physics 2009-10-22 Didier Sornette , Anders Johansen , Ivan Dornic

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

This paper studies a stylized model of local interaction where agents choose from an ever increasing set of vertically ranked actions, e.g. technologies. The driving forces of the model are infrequent upward shifts (``updates''), followed…

Statistical Mechanics · Physics 2007-05-23 A. Arenas , A. Diaz-Guilera , C. J. Perez , F. Vega-Redondo

An interesting toy model has recently been proposed on Schumpeterian economic dynamics by Thurner {\it et al.} following the idea of economist Joseph Schumpeter. Punctuated equilibrium dynamics is shown to emerge from this model and some…

General Finance · Quantitative Finance 2010-12-30 Abhijit Kar Gupta

The hypothesis of self-organized criticality explains the existence of long-range `space-time' correlations, observed inseparably in many natural dynamical systems. A simple link between these correlations is yet unclear, particularly in…

Statistical Mechanics · Physics 2022-01-05 Naveen Kumar , Suram Singh , Avinash Chand Yadav

We propose a dynamical model in which a network structure evolves in a self-organized critical (SOC) manner and explain a possible origin of the emergence of fractal and small-world networks. Our model combines a network growth and its…

Physics and Society · Physics 2015-07-22 Akitomo Watanabe , Shogo Mizutaka , Kousuke Yakubo

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

What features characterise complex system dynamics? Power laws and scale invariance of fluctuations are often taken as the hallmarks of complexity, drawing on analogies with equilibrium critical phenomena[1-3]. Here we argue that slow,…

Statistical Mechanics · Physics 2007-05-23 Paul Anderson , Henrik Jeldtoft Jensen , L. P. Oliveira , Paolo Sibani

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