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In the paper we present a description of complex systems in terms of self-organization processes of prime integer relations. A prime integer relation is an indivisible element made up of integers as the basic constituents following a single…

Adaptation and Self-Organizing Systems · Physics 2016-11-23 Victor Korotkikh , Galina Korotkikh

In the paper we present results to develop an irreducible theory of complex systems in terms of self-organization processes of prime integer relations. Based on the integers and controlled by arithmetic only the self-organization processes…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Victor Korotkikh , Galina Korotkikh

In the paper we present results based on the description of complex systems in terms of self-organization processes of prime integer relations. Realized through the unity of two equivalent forms, i.e., arithmetical and geometrical, the…

General Physics · Physics 2010-09-28 Victor Korotkikh

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 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

The informational synthesis of neural structures, processes, parameters and characteristics that allow a unified description and modeling as neural machines of natural and artificial neural systems is presented. The general informational…

Neural and Evolutionary Computing · Computer Science 2024-04-08 Iosif Iulian Petrila

A general condition determining the optimal performance of a complex system has not yet been found and the possibility of its existence is unknown. To contribute in this direction, an optimization algorithm as a complex system is presented.…

Computational Complexity · Computer Science 2007-05-23 Victor Korotkikh , Galina Korotkikh , Darryl Bond

Intrinsic computation refers to how dynamical systems store, structure, and transform historical and spatial information. By graphing a measure of structural complexity against a measure of randomness, complexity-entropy diagrams display…

Chaotic Dynamics · Physics 2009-11-13 David P. Feldman , Carl S. McTague , James P. Crutchfield

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

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 the first part of this paper, we present a unified framework for analyzing the algorithmic complexity of any optimization problem, whether it be continuous or discrete in nature. This helps to formalize notions like "input", "size" and…

Optimization and Control · Mathematics 2022-07-06 Amitabh Basu

With the rise of data-centric process management paradigms, interdependent processes, such as artifacts or object lifecycles, form a business process through their interactions. Coordination processes may be used to coordinate these…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-16 Sebastian Steinau , Kevin Andrews , Manfred Reichert

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 vision of Organic Computing addresses challenges that arise in the design of future information systems that are comprised of numerous, heterogeneous, resource-constrained and error-prone components or devices. Here, the notion organic…

Networking and Internet Architecture · Computer Science 2012-04-26 Ingo Scholtes , Claudio Juan Tessone

Many forms of programmable matter have been proposed for various tasks. We use an abstract model of self-organizing particle systems for programmable matter which could be used for a variety of applications, including smart paint and…

Emerging Technologies · Computer Science 2017-10-24 Alexandra Porter , Andréa W. Richa

The determination of environmentally- and economically-optimal energy system designs and operations is complex. In particular, the integration of weather-dependent renewable energy technologies into energy system optimization models…

Systems are growing into more complex ones for developing and maintaining. Existing systems which do not have much in common on the first look are connected, due to the technical progress, even if it was never intended that way. It is an…

Software Engineering · Computer Science 2018-09-17 Tobias Eckl

Our understanding of complex systems rests on our ability to characterise how they perform distributed computation and integrate information. Advances in information theory have introduced several quantities to describe complex information…

Information Theory · Computer Science 2026-04-13 Alberto Liardi , George Blackburne , Hardik Rajpal , Fernando E. Rosas , Pedro A. M. Mediano

Optimization algorithms can be interpreted through the lens of dynamical systems as the interconnection of linear systems and a set of subgradient nonlinearities. This dynamical systems formulation allows for the analysis and synthesis of…

Optimization and Control · Mathematics 2026-03-27 Jared Miller , Carsten Scherer , Fabian Jakob , Andrea Iannelli

This article focuses on the optimization of a complex system which is composed of several subsystems. On the one hand, these subsystems are subject to multiple objectives, local constraints as well as local variables, and they are…

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