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This paper proposes a variational approach to describe the evolution of organization of complex systems from first principles, as increased efficiency of physical action. Most simply stated, physical action is the product of the energy and…

Adaptation and Self-Organizing Systems · Physics 2014-07-29 Georgi Yordanov Georgiev , Kaitlin Henry , Timothy Bates , Erin Gombos , Alexander Casey , Michael Daly , Amrit Vinod , Hyunseung Lee

Measures of complexity and entropy have not converged to a single quantitative description of levels of organization of complex systems. The need for such a measure is increasingly necessary in all disciplines studying complex systems. To…

Adaptation and Self-Organizing Systems · Physics 2013-01-29 Georgi Yordanov Georgiev , Michael Daly , Erin Gombos , Amrit Vinod , Gajinder Hoonjan

Self-organization in complex systems is a process in which randomness is reduced and emergent structures appear that allow the system to function in a more competitive way with other states of the system or with other systems. It occurs…

Adaptation and Self-Organizing Systems · Physics 2025-06-02 Matthew J Brouillet , Georgi Yordanov Georgiev

Establishing an universal method to measure the organization of an universal system, will allow us to understand the mechanisms of functioning and organizing in general and enable us to design systems which will posses highest level of…

Adaptation and Self-Organizing Systems · Physics 2010-09-08 Georgi Y Georgiev

In this paper we formulate the Least Action Principle for an Organized System as the minimum of the total sum of the actions of all of the elements. This allows us to see how this most basic law of physics determines the development of the…

Adaptation and Self-Organizing Systems · Physics 2010-04-21 Georgi Georgiev , Iskren Georgiev

Despite broad interest in self-organizing systems, there are few quantitative, experimentally-applicable criteria for self-organization. The existing criteria all give counter-intuitive results for important cases. In this Letter, we…

Adaptation and Self-Organizing Systems · Physics 2011-11-10 Cosma Rohilla Shalizi , Kristina Lisa Shalizi , Robert Haslinger

Self-organization is the spontaneous formation of spatial, temporal, or spatiotemporal patterns in complex systems far from equilibrium. During such self-organization, energy distributed in a broadband of frequencies gets condensed into a…

Adaptation and Self-Organizing Systems · Physics 2020-12-08 Induja Pavithran , Vishnu R. Unni , Alan John Varghese , D. Premraj , R. I. Sujith , C. Vijayan , Abhishek Saha , Norbert Marwan , Jürgen Kurths

Self-organization is the autonomous assembly of a network of interacting components into a stable, organized pattern. This article shows that the process of self-assembly can be encoded in terms of evolutionary entropy, a statistical…

Statistical Mechanics · Physics 2023-05-29 Lloyd A. Demetrius

Plasticity is a fundamental property of complex systems, such as the brain or an organism. Yet it typically remains a descriptive concept inferred retrospectively from observed outcomes, such as modifications in activity or morphology.…

Neurons and Cognition · Quantitative Biology 2026-03-27 Igor Branchi

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

A natural process is defined as an act, by which a system organizes itself with time. Any natural process drives a system to a state of greater organization. Organization is a progressive change, while evolution is expressed in the effects…

Adaptation and Self-Organizing Systems · Physics 2012-01-09 Atanu Bikash Chatterjee

A general notion of information-related complexity applicable to both natural and man-made systems is proposed. The overall approach is to explicitly consider a rational agent performing a certain task with a quantifiable degree of success.…

Data Analysis, Statistics and Probability · Physics 2013-01-18 Eugene Perevalov , David Grace

Modular organization characterizes many complex networks occurring in nature, including the brain. In this paper we show that modular structure may be responsible for increasing the robustness of certain dynamical states of such systems. In…

Disordered Systems and Neural Networks · Physics 2015-05-27 Neeraj Pradhan , Subinay Dasgupta , Sitabhra Sinha

The Principle of Least Action has evolved and established itself as the most basic law of physics. This allows us to see how this fundamental law of nature determines the development of the system towards states with less action, i.e.,…

Adaptation and Self-Organizing Systems · Physics 2012-10-08 Atanu Bikash Chatterjee

Our technologies complexify our environments. Thus, new technologies need to deal with more and more complexity. Several efforts have been made to deal with this complexity using the concept of self-organization. However, in order to…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Carlos Gershenson

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

A general description of entanglement is suggested as an action realized by an arbitrary operator over given disentangled states. The related entanglement measure is defined. Because of its generality, this definition can be employed for…

Quantum Physics · Physics 2009-11-10 V. I. Yukalov

Human and artificial organizations may be described as networks of interacting parts. Those parts exchange data and control information and, as a result of these interactions, organizations produce emergent behaviors and purposes -- traits…

Computers and Society · Computer Science 2015-05-22 Vincenzo De Florio

We discuss in a statistical physics framework the idea that ``the whole is less than the parts'', as sometimes advocated by sociologists in view of the intrinsic complexity of humans, and try to reconcile this idea with the statistical…

Physics and Society · Physics 2019-10-23 Eric Bertin , Pablo Jensen

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
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