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In order to develop systems capable of modeling artificial life, we need to identify, which systems can produce complex behavior. We present a novel classification method applicable to any class of deterministic discrete space and time…

Cellular Automata and Lattice Gases · Physics 2020-09-01 Barbora Hudcova , Tomas Mikolov

Many living and non-living complex systems can be modeled and understood as collective systems made of heterogeneous components that self-organize and generate nontrivial morphological structures and behaviors. This chapter presents a brief…

Adaptation and Self-Organizing Systems · Physics 2018-01-09 Hiroki Sayama

Control of the living cell functions with remarkable reliability despite the stochastic nature of the underlying molecular networks -- a property presumably optimized by biological evolution. We here ask to what extent the property of a…

Molecular Networks · Quantitative Biology 2009-11-13 Stefan Braunewell , Stefan Bornholdt

Biological systems are generally complicated and/or complex. In the former approach, one sets up a model with a large number of parameters to describe the system in detail. The latter approach focuses on understanding the universal aspects…

Biological Physics · Physics 2026-03-19 Kunihiko Kaneko

In this paper we examine the concept of complexity as it applies to generative and evolutionary art and design. Complexity has many different, discipline specific definitions, such as complexity in physical systems (entropy), algorithmic…

Neural and Evolutionary Computing · Computer Science 2022-01-06 Jon McCormack , Camilo Cruz Gambardella

Natural evolution gives the impression of leading to an open-ended process of increasing diversity and complexity. If our goal is to produce such open-endedness artificially, this suggests an approach driven by evolutionary metaphor. On the…

Adaptation and Self-Organizing Systems · Physics 2018-12-13 Nicholas Guttenberg , Nathaniel Virgo , Alexandra Penn

Limit theorems for a linear dynamical system with random interactions are established. These theorems enable us to characterize the dynamics of a large complex system in details and assess whether a large complex system is stable or…

Mathematical Physics · Physics 2011-11-10 J. F. Feng , M. Shcherbina , B. Tirozzi

Explaining how and why some species evolved to have more complex social structures than others has been a long-term goal for many researchers in animal behavior because it would provide important insight into the links between evolution and…

Physics and Society · Physics 2019-03-22 Elizabeth A. Hobson , Vanessa Ferdinand , Artemy Kolchinsky , Joshua Garland

One of the main properties of biological systems is modularity, which manifests itself at all levels of their organization, starting with the level of molecular genetics, ending with the level of whole organisms and their communities. In a…

Neural and Evolutionary Computing · Computer Science 2018-11-20 Anton Eremeev , Alexander Spirov

Recently, computational modelling became a very important research tool that enables us to study problems that for decades evaded scientific analysis. Evolutionary systems are certainly examples of such problems: they are composed of many…

Populations and Evolution · Quantitative Biology 2009-07-04 Adam Lipowski , Dorota Lipowska

This paper will introduce a theory of emergent animal social complexity using various results from computational models and empirical results. These results will be organized into a vertical model of social complexity. This will support the…

Populations and Evolution · Quantitative Biology 2013-10-18 Bradly Alicea

The model of cellular automata is fascinating because very simple local rules can generate complex global behaviors. The relationship between local and global function is subject of many studies. We tackle this question by using results on…

Computational Complexity · Computer Science 2009-09-29 Christoph Durr , Ivan Rapaport , Guillaume Theyssier

We investigate expressiveness, a parameter of one-dimensional cellular automata, in the context of simulated biological systems. The development of elementary cellular automata is interpreted in terms of biological systems, and biologically…

Cellular Automata and Lattice Gases · Physics 2013-04-09 Markus Redeker , Andrew Adamatzky , Genaro J. Martínez

Is undecidability a requirement for open-ended evolution (OEE)? Using methods derived from algorithmic complexity theory, we propose robust computational definitions of open-ended evolution and the adaptability of computable dynamical…

Other Computer Science · Computer Science 2016-12-28 Santiago Hernández-Orozco , Francisco Hernández-Quiroz , Hector Zenil

A good process model is expected not only to reflect the behavior of the process, but also to be as easy to read and understand as possible. Because preferences vary across different applications, numerous measures provide ways to reflect…

Formal Languages and Automata Theory · Computer Science 2024-08-23 Patrizia Schalk , Adam Burke , Robert Lorenz

The emergence of complex structures in the systems governed by a simple set of rules is among the most fascinating aspects of Nature. The particularly powerful and versatile model suitable for investigating this phenomenon is provided by…

Adaptation and Self-Organizing Systems · Physics 2023-10-11 Jarosław Adam Miszczak

Nowadays the question `what is complexity?' is a challenge to be answered. This question is triggering a great quantity of works in the frontier of physics, biology, mathematics and computer science. Even more when this century has been…

Chaotic Dynamics · Physics 2010-09-03 Ricardo Lopez-Ruiz , Juan R. Sanchez

Most complex systems are intrinsically dynamic in nature. The evolution of a dynamic complex system is typically represented as a sequence of snapshots, where each snapshot describes the configuration of the system at a particular instant…

Physics and Society · Physics 2016-12-30 Richard K. Darst , Clara Granell , Alex Arenas , Sergio Gómez , Jari Saramäki , Santo Fortunato

Concomitant with the evolution of biological diversity must have been the evolution of mechanisms that facilitate evolution, due to the essentially infinite complexity of protein sequence space. We describe how evolvability can be an object…

Populations and Evolution · Quantitative Biology 2009-11-10 David J. Earl , Michael W. Deem

A system comprised of an elastic solid and its response to an external random force sequence is shown to behave based on the principles of the theory of algorithmic complexity and randomness. The solid distorts the randomness of an input…

Computational Complexity · Computer Science 2008-11-06 J. Ratsaby , J. Chaskalovic