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There is strong expectation that cities, across time, culture and level of development, share much in common in terms of their form and function. Recently, attempts to formalize mathematically these expectations have led to the hypothesis…

物理与社会 · 物理学 2013-01-28 Luis M. A. Bettencourt , Jose Lobo , Hyejin Youn

The control of complex systems is an ongoing challenge of complexity research. Recent advances using concepts of structural control deduce a wide range of control related properties from the network representation of complex systems. Here,…

统计力学 · 物理学 2013-12-31 Márton Pósfai , Philipp Hövel

Population rate or activity equations are the foundation of a common approach to modeling for neural networks. These equations provide mean field dynamics for the firing rate or activity of neurons within a network given some connectivity.…

神经元与认知 · 定量生物学 2009-05-15 Michael A. Buice , Jack D. Cowan , Carson C. Chow

This paper addresses the limitations of a single agent in task decomposition and collaboration during complex task execution, and proposes a multi-agent architecture for modular task decomposition and dynamic collaboration based on large…

人工智能 · 计算机科学 2025-11-04 Shuaidong Pan , Di Wu

Trail interactions occur when past particle trajectories bias future motion, rendering the system out of thermodynamic equilibrium. While such systems are abundant in nature, their understanding is limited to the single-particle level or…

统计力学 · 物理学 2025-12-04 Paul Pineau , Samuel Bell , Raphaël Voituriez , Ram M. Adar

Dormancy is a widespread adaptive strategy that enables populations to persist in fluctuating environments, yet how its benefits depend on the temporal structure of environmental variability remains unclear. We examine how dormancy…

种群与进化 · 定量生物学 2025-12-08 Jorge Hidalgo , Lorenzo Fant , Rafael Rubio de Casas , Miguel A. Muñoz

Mathematical models of interacting populations are often constructed as systems of differential equations, which describe how populations change with time. Below we study one such model connected to the nonlinear dynamics of a system of…

混沌动力学 · 物理学 2018-12-26 Ivan N. Dushkov , Ivan Jordanov , Nikolay K. Vitanov

We discuss how to characterize the behavior of a chaotic dynamical system depending on a parameter that varies periodically in time. In particular, we study the predictability time, the correlations and the mean responses, by defining a…

chao-dyn · 物理学 2009-10-28 A Crisanti , M. Falcioni , G. Lacorata , R. Purini , A. Vulpiani

To analyze the evolutionary emergence of structural complexity in physical processes we introduce a general, but tractable, model of objects that interact to produce new objects. Since the objects--\emph{$epsilon$-machines}--have well…

适应与自组织系统 · 物理学 2007-05-23 James P. Crutchfield , Olof Gornerup

We consider the basic features of complex dynamic and control systems, including systems having hierarchical structure. Special attention is paid to the problems of design and synthesis of complex systems and control models, and to the…

计算工程、金融与科学 · 计算机科学 2008-12-25 Armen Bagdasaryan

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…

This paper develops a set of simplified dynamical models with which to explore the conditions under which temporal differentiation leads to optimized system output. By temporal differentiation, we mean a division of labor whereby different…

神经元与认知 · 定量生物学 2007-05-23 Emmanuel Tannenbaum

For the class of noisy time-delay linear consensus networks, we obtain explicit formulas for risk of large fluctuations of a scalar observable as a function of Laplacian spectrum and its eigenvectors. It is shown that there is an intrinsic…

系统与控制 · 计算机科学 2018-09-25 Christoforos Somarakis , Yaser Ghaedsharaf , Nader Motee

This paper addresses exact approaches to multi-agent collective construction problem which tasks a group of cooperative agents to build a given structure in a blocksworld under the gravity constraint. We propose a generalization of the…

多智能体系统 · 计算机科学 2023-12-22 Martin Rameš , Pavel Surynek

We study a model of traffic where drivers adopt different behavioral strategies. These can be cooperative or defective according to a driver abiding or not by a traffic rule. Drivers can change their strategy by imitating the majority, with…

适应与自组织系统 · 物理学 2015-06-12 Gabriel H. Paissan , Guillermo Abramson

We introduce a minimal model of multilevel selection on structured populations, considering the interplay between game theory and population dynamics. Through a bottleneck process, finite groups are formed with cooperators and defectors…

种群与进化 · 定量生物学 2023-10-02 Jeferson J. Arenzon , Luca Peliti

Optimization of decision problems in stochastic environments is usually concerned with maximizing the probability of achieving the goal and minimizing the expected episode length. For interacting agents in time-critical applications,…

人工智能 · 计算机科学 2007-05-23 Balint Takacs , Istvan Szita , Andras Lorincz

Ecological communities with many species can be classified into dynamical phases. In systems with all-to-all interactions, a phase where a fixed point is always reached and a dynamically-fluctuating phase have been found. The dynamics when…

种群与进化 · 定量生物学 2023-08-04 Stav Marcus , Ari M Turner , Guy Bunin

We investigate the connection between the dynamics of synchronization and the modularity on complex networks. Simulating the Kuramoto's model in complex networks we determine patterns of meta-stability and calculate the modularity of the…

无序系统与神经网络 · 物理学 2009-11-11 Alex Arenas , Albert Diaz-Guilera

Much of interesting complex biological behaviour arises from collective properties. Important information about collective behaviour lies in the time and space structure of fluctuations around average properties, and two-point correlation…

定量方法 · 定量生物学 2022-02-17 Tomás S. Grigera