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Cooperation is a widespread natural phenomenon yet current evolutionary thinking is dominated by the paradigm of selfish competition. Recent advanced in many fronts of Biology and Non-linear Physics are helping to bring cooperation to its…

Populations and Evolution · Quantitative Biology 2014-06-13 Octavio Miramontes , Og DeSouza

In this paper, a complexity factor is devised for a non-static cylindrical system in the framework of massive Brans-Dicke theory. The definition of complexity is developed by taking into account the essential physical characteristics (such…

General Relativity and Quantum Cosmology · Physics 2021-06-18 M. Sharif , Amal Majid

We believe that economic design and computational complexity---while already important to each other---should become even more important to each other with each passing year. But for that to happen, experts in on the one hand such areas as…

Computational Complexity · Computer Science 2019-06-04 Edith Hemaspaandra , Lane A. Hemaspaandra

Initially designed to predict and explain the economic trajectories of countries, cities, and regions, economic complexity has been found applicable in diverse contexts such as ecology and chess openings. The success of economic complexity…

Physics and Society · Physics 2024-05-08 Vito D. P. Servedio , Alessandro Bellina , Emanuele Calò , Giordano De Marzo

The science of complexity is far from being fully understood and even its foundations are not well established. On the other hand, during the last decade, the random motion of particles or waves - the so-called diffusion - has been known…

Statistical Mechanics · Physics 2009-08-14 Guilherme R. Rezende , Luciano C. Lapas , Fernando A. Oliveira

The problem of reconstructing nonlinear and complex dynamical systems from measured data or time series is central to many scientific disciplines including physical, biological, computer, and social sciences, as well as engineering and…

Data Analysis, Statistics and Probability · Physics 2017-05-01 Wenxu Wang , Ying-Cheng Lai , Celso Grebogi

Even when concepts similar to emergence have been used since antiquity, we lack an agreed definition. However, emergence has been identified as one of the main features of complex systems. Most would agree on the statement ``life is…

General Physics · Physics 2025-12-22 Carlos Gershenson

Social evolutionary theory seeks to explain increases in the scale and complexity of human societies, from origins to present. Over the course of the twentieth century, social evolutionary theory largely fell out of favor as a way of…

Multiagent Systems · Computer Science 2025-02-27 David H. Wolpert , Kyle Harper

Many branches of theoretical and applied mathematics require a quantifiable notion of complexity. One such circumstance is a topological dynamical system - which involves a continuous self-map on a metric space. There are many notions of…

Category Theory · Mathematics 2024-03-12 Suddhasattwa Das

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

From bird flocking to neural dynamics, complex systems generate fascinating structures and correlations. Often, seemingly simple dynamics lead to intricate emergent properties. Despite their visceral appeal, defining complex systems lacks…

History and Philosophy of Physics · Physics 2024-11-19 Casper van Elteren

As Physics did in previous centuries, there is currently a common dream of extracting generic laws of nature in economics, sociology, neuroscience, by focalising the description of phenomena to a minimal set of variables and parameters,…

Physics and Society · Physics 2016-10-14 Fatihcan M. Atay , Sven Banisch , Philippe Blanchard , Bruno Cessac , Eckehard Olbrich

The evolution of complexity has been a central theme for Biology [2] and Artificial Life research [1]. It is generally agreed that complexity has increased in our universe, giving way to life, multi-cellularity, societies, and systems of…

Populations and Evolution · Quantitative Biology 2011-09-06 Carlos Gershenson , Tom Lenaerts

We distinguish a mechanical representation of the world in terms of point masses with positions and momenta and the chemical representation of the world in terms of populations of different individuals, each with intrinsic stochasticity,…

Statistical Mechanics · Physics 2019-05-07 Hong Qian

The science of complexity is based on a new way of thinking that stands in sharp contrast to the philosophy underlying Newtonian science, which is based on reductionism, determinism, and objective knowledge. This paper reviews the…

Computational Complexity · Computer Science 2008-07-29 Francis Heylighen , Paul Cilliers , Carlos Gershenson

Should the organization, design and functioning of electricity markets be taken for granted? Definitely not. While decades of evolution of electricity markets in countries that committed early to restructure their electric power sector made…

General Economics · Economics 2023-02-22 Pierre Pinson

The advent of big data has vast potential for discovery in natural phenomena ranging from climate science to medicine, but overwhelming complexity stymies insight. Existing theory is often not able to succinctly describe salient phenomena,…

Machine Learning · Computer Science 2021-06-25 Bryan E. Kaiser , Juan A. Saenz , Maike Sonnewald , Daniel Livescu

This paper presents reflections on the validity of a series of mathematical methods and technical assumptions that are encrusted in macrophysics (related to gravitational interaction), that seem to have little or no physical significance.…

General Physics · Physics 2010-05-05 M. Iftime

The stability of ecological systems is a fundamental concept in ecology, which offers profound insights into species coexistence, biodiversity, and community persistence. In this article, we provide a systematic and comprehensive review on…

Dynamical Systems · Mathematics 2024-02-08 Can Chen , Xu-Wen Wang , Yang-Yu Liu

Investigation of the critical levels and catastrophes in the complex systems of different nature is useful and perspective. Mathematical modeling and analysis is presented for revealing and investigation of the phenomena and critical levels…

Adaptation and Self-Organizing Systems · Physics 2017-04-06 Ivan V. Kazachkov