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This paper attempts to make feasible the evolutionary emergence of novelty in a supposedly deterministic world which behavior is associated with those of the mathematical dynamical systems. The work was motivated by the observation of…

适应与自组织系统 · 物理学 2024-06-26 R. Herrero , F. Pi , J. Rius , G. Orriols

The apparent difficulty of designing simple autocatalysts that grow exponentially in the absence of enzymes, external drives or ingenious internal mechanisms severely constrains scenarios for the emergence of evolution by natural selection…

生物大分子 · 定量生物学 2024-03-29 Yann Sakref , Olivier Rivoire

Various features of the development of individual living species, including individual humans, are programmed. Is death also programmed, and if yes, how is it implemented and what can be the underlying mechanism providing the inevitability…

混沌动力学 · 物理学 2019-05-23 Mark Edelman

This paper introduces a variational formulation of natural selection, paying special attention to the nature of "things" and the way that different "kinds" of "things" are individuated from - and influence - each other. We use the Bayesian…

种群与进化 · 定量生物学 2023-07-05 Karl Friston , Daniel Ari Friedman , Axel Constant , V. Bleu Knight , Thomas Parr , John O. Campbell

Classical robot ethics is often framed around obedience, including Asimov's laws. This framing is insufficient for contemporary AI systems, which are increasingly adaptive, generative, embodied, and embedded in physical, psychological, and…

计算机与社会 · 计算机科学 2026-04-30 Somyajit Chakraborty

We consider the evolutionary trajectories traced out by an infinite population undergoing mutation-selection dynamics in static, uncorrelated random fitness landscapes. Starting from the population that consists of a single genotype, the…

种群与进化 · 定量生物学 2009-11-11 Kavita Jain , Joachim Krug

Competition between species and genotypes is a dominant factor in a variety of ecological and evolutionary processes. Biological dynamics are typically highly stochastic, and therefore, analyzing a competitive system requires accounting for…

种群与进化 · 定量生物学 2025-01-09 Ori Turkia , Nadav M. Shnerb

The importance of microscopic details on cooperation level is an intensively studied aspect of evolutionary game theory. Interestingly, these details become crucial on heterogeneous populations where individuals may possess diverse traits.…

物理与社会 · 物理学 2018-08-21 Attila Szolnoki , Zsuzsa Danku

Since Newton, all classical and quantum physics depends upon the "Newtonian Paradigm". Here the relevant variables of the system are identified. The boundary conditions creating the phase space of all possible values of the variables are…

物理与社会 · 物理学 2022-07-13 Stuart A. Kauffman , Andrea Roli

We construct a stochastic dynamical systems theory in which sustainability is a structural boundary property of a fully coupled Earth--Human--Production system. Each subsystem is modelled as a vector-valued process governed by stochastic…

理论经济学 · 经济学 2026-03-02 Claudio Pirrone , Stefano Fricano , Gioacchino Fazio

A biologically motivated individual-based framework for evolution in network-structured populations is developed that can accommodate eco-evolutionary dynamics. This framework is used to construct a network birth and death model. The…

种群与进化 · 定量生物学 2021-03-19 Karan Pattni , Christopher E. Overton , Kieran J. Sharkey

We formulate the search for phenomenological models of synaptic plasticity as an optimization problem. We employ Cartesian genetic programming to evolve biologically plausible human-interpretable plasticity rules that allow a given network…

神经与进化计算 · 计算机科学 2021-02-09 Henrik D. Mettler , Maximilian Schmidt , Walter Senn , Mihai A. Petrovici , Jakob Jordan

This paper explores a novel extension of dynamic matching theory by analyzing a three-way matching problem involving agents from three distinct populations, each with two possible types. Unlike traditional static or two-way dynamic models,…

理论经济学 · 经济学 2025-07-09 Souvik Roy , Agamani Saha

Density dependence is important in the ecology and evolution of microbial and cancer cells. Typically, we can only measure net growth rates, but the underlying density-dependent mechanisms that give rise to the observed dynamics can…

种群与进化 · 定量生物学 2025-06-04 Linh Huynh , Jacob G. Scott , Peter J. Thomas

`Entropy' appears as driving force in many different evolution equations, both deterministic and stochastic, and in these equations this `entropy' also takes different forms. We show how all these examples can be understood as different…

动力系统 · 数学 2026-03-10 Mark A. Peletier

Most theories of evolutionary diversification are based on equilibrium assumptions: they are either based on optimality arguments involving static fitness landscapes, or they assume that populations first evolve to an equilibrium state…

种群与进化 · 定量生物学 2017-02-07 Iaroslav Ispolatov , Vaibhav Madhok , Michael Doebeli

We show that a neural network originally designed for language processing can learn the dynamical rules of a stochastic system by observation of a single dynamical trajectory of the system, and can accurately predict its emergent behavior…

统计力学 · 物理学 2022-02-18 Corneel Casert , Isaac Tamblyn , Stephen Whitelam

How to promote the innovative activities is an important problem for modern society. In this paper, combining with the evolutionary games and information spreading, we propose a lattice model to investigate dynamics of human innovative…

物理与社会 · 物理学 2013-03-05 Ying-Ting Lin , Xiao-Pu Han , Bing-Hong Wang

Macroeconomic dynamics is typically modeled under the assumption that the economy evolves according to a single invariant law of motion. This paper shows that this assumption imposes a structural restriction. We develop Dynamic…

理论经济学 · 经济学 2026-05-18 Jorge R. Chávez F

Many real-world optimization problems occur in environments that change dynamically or involve stochastic components. Evolutionary algorithms and other bio-inspired algorithms have been widely applied to dynamic and stochastic problems.…

神经与进化计算 · 计算机科学 2020-01-30 Vahid Roostapour , Mojgan Pourhassan , Frank Neumann