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Self-organisation lies at the core of fundamental but still unresolved scientific questions, and holds the promise of de-centralised paradigms crucial for future technological developments. While self-organising processes have been…

Adaptation and Self-Organizing Systems · Physics 2019-04-16 Fernando Rosas , Pedro A. M. Mediano , Martin Ugarte , Henrik J. Jensen

The basic laws of physics are simple, so why is the world complex? The theory of self-organized criticality posits that complex behavior in nature emerges from the dynamics of extended, dissipative systems that evolve through a sequence of…

Statistical Mechanics · Physics 2007-05-23 Maya Paczuski , Per Bak

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 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

In physics, I noticed subjects not explained by formulas were often not studied, like how uncontrolled growth systems changed form. Weather, businesses, societies, environments, communities, cultures, groups, relationships, lives, and…

Physics and Society · Physics 2023-05-18 Jessie Henshaw

When a dynamical system contains several different modes of oscillations it may behave in a variety of ways: If the modes oscillate at their own individual frequencies, it exhibits quasiperiodic behavior; when the modes lock to one another…

Chaotic Dynamics · Physics 2012-01-04 Mogens H. Jensen , Leo P. Kadanoff

We use a simple combinatorial model of technological change to explain the Industrial Revolution. The Industrial Revolution was a sudden large improvement in technology, which resulted in significant increases in human wealth and life…

General Economics · Economics 2018-11-13 Roger Koppl , Abigail Devereaux , Jim Herriot , Stuart Kauffman

The process of technological change can be regarded as a non-deterministic system governed by factors of a cumulative nature that generate cyclical phenomena. In this context, the process of growth and decline of technology can be…

General Economics · Economics 2020-10-14 Mario Coccia

Schumpeter's (1939) distinction between changes in the form of the production function corresponding to innovation, and shifts along the production function corresponding to factor substitution, does not preclude that the underlying…

Physics and Society · Physics 2010-01-11 Loet Leydesdorff , Peter Van den Besselaar

Alliances and conflicts in social, political and economic relations can be represented by positive and negative edges in signed networks. A cycle is said to be positive if the product of its edge signs is positive, otherwise it is negative.…

Physics and Society · Physics 2024-08-13 Fernando Diaz-Diaz , Paolo Bartesaghi , Ernesto Estrada

Substitution systems evolve in time by generating sequences of symbols from a finite alphabet: At a certain iteration step, the existing symbols are systematically replaced by blocks of $N_{k}$ symbols also within the alphabet (with…

Mathematical Physics · Physics 2015-07-08 Vladimir Garcia-Morales

Temporal logics are an obvious high-level descriptive companion formalism to dynamical systems which model behavior as deterministic evolution of state over time. A wide variety of distinct temporal logics applicable to dynamical systems…

Logic in Computer Science · Computer Science 2012-12-11 Baltasar Trancón y Widemann

Universal and rigorously derived concept of dynamic complexit (physics/9806002) shows that any system of interacting components, including society and civilisation, exists only as a process of highly inhomogeneous, qualitative development…

General Physics · Physics 2007-05-23 Andrei P. Kirilyuk

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

While utilization of digital agents to support crucial decision making is increasing, trust in suggestions made by these agents is hard to achieve. However, it is essential to profit from their application, resulting in a need for…

Machine Learning · Computer Science 2022-04-21 Michael Heider , Helena Stegherr , Jonathan Wurth , Roman Sraj , Jörg Hähner

It has been suggested that innovations occur mainly by combination: the more inventions accumulate, the higher the probability that new inventions are obtained from previous designs. Additionally, it has been conjectured that the…

Physics and Society · Physics 2014-07-31 Ricard V. Solé , Daniel R. Amor , Sergi Valverde

We study the collective behaviour of an ensemble of coupled motile elements whose interactions depend on time and are alternatively attractive or repulsive. The evolution of interactions is driven by individual internal variables with…

Statistical Mechanics · Physics 2009-11-10 Damian H. Zanette , Alexander S. Mikhailov

We introduce an analytical model based on birth-death clustering processes to help understanding the empirical log-periodic corrections to power-law scaling and the finite-time singularity as reported in several domains including rupture,…

Condensed Matter · Physics 2009-10-31 Enrique Canessa

We draw on the data collected by the Integrated Crisis Early Warning System on millions of international and regional public news stories, and this system's indicators of the orientation toward a specific nation-state. We construct the…

Social and Information Networks · Computer Science 2020-05-14 Omid Askarisichania , Ambuj K. Singh , Francesco Bullo , Noah E. Friedkin

Short-term survival and an exuberant plunge into building our future are generating a new kind of unintended consequence -- hidden fragility. This is a direct effect of the sophistication and structural complexity of the socio-technical…

Physics and Society · Physics 2020-03-26 James P. Crutchfield