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Collective behavior is studied in globally coupled maps. Several coherent motions exist, even in fully desynchronized state. To characterize the collective behavior, we introduce scaling transformation of parameter, and detect the…

chao-dyn · Physics 2009-10-31 Tatsuo Shibata , Kunihiko Kaneko

Evolution occurs in populations of reproducing individuals. The structure of a biological population affects which traits evolve. Understanding evolutionary game dynamics in structured populations is difficult. Precise results have been…

Populations and Evolution · Quantitative Biology 2017-08-16 Benjamin Allen , Gabor Lippner , Yu-Ting Chen , Babak Fotouhi , Naghmeh Momeni , Martin A. Nowak , Shing-Tung Yau

We consider the long-time dynamics of a general class of nonlinear Fokker-Planck equations, describing the large population behavior of mean-field interacting units. The main motivation of this work concerns the case where the individual…

Analysis of PDEs · Mathematics 2020-01-08 Eric Lucon , Christophe Poquet

Effect of noise in inducing order on various chaotically evolving systems is reviewed, with special emphasis on systems consisting of coupled chaotic elements. In many situations it is observed that the uncoupled elements when driven by…

chao-dyn · Physics 2015-06-24 Manojit Roy , R. E. Amritkar

We consider the problem of categorizing and describing the dynamic properties and behaviours of crowds over time. Previous work has tended to focus on a relatively static "typology"-based approach, which does not account for the fact that…

Multiagent Systems · Computer Science 2024-04-15 Martyn Amos , Steve Gwynne , Anne Templeton

We study two intertwined globally coupled networks of noisy Kuramoto phase oscillators that have the same natural frequency, but differ in their perception of the mean field and their contribution to it. Such a give-and-take mechanism is…

Adaptation and Self-Organizing Systems · Physics 2015-06-25 Bernard Sonnenschein , Thomas K. DM. Peron , Francisco A. Rodrigues , Jürgen Kurths , Lutz Schimansky-Geier

This work is devoted to the study of a stochastic logistic growth model with and without the Allee effect. Such a model describes the evolution of a population under environmental stochastic fluctuations and is in the form of a stochastic…

Populations and Evolution · Quantitative Biology 2020-08-05 Almaz Tesfay , Daniel Tesfay , James Brannan , Jinqiao Duan

We consider a nonlinear coupled discrete-time model of population dynamics. This model describes the movement of populations within a heterogeneous landscape, where the growth of subpopulations are modelled by (possibly different) bounded…

Dynamical Systems · Mathematics 2024-05-08 Blake McGrane-Corrigan , Oliver Mason , Rafael de Andrade Moral

Stochastic resonance (SR) is a prominent phenomenon in many natural and engineered noisy system, whereby the response to a periodic forcing is greatly amplified when the intensity of the noise is tuned to within a specific range of values.…

Statistical Mechanics · Physics 2019-12-25 Valerio Lucarini

People tend to walk in groups, and interactions with those groups have a significant impact on crowd behavior and pedestrian traffic dynamics. Social norms can be seen as unwritten rules regulating people interactions in social settings.…

Physics and Society · Physics 2025-10-31 Saleh Albeaik , Faisal Alsallum , Mohamad Alrished

Density dependent Markov population processes with countably many types can often be well approximated over finite time intervals by the solution of the differential equations that describe their average drift, provided that the total…

Probability · Mathematics 2014-06-05 A. D. Barbour , Malwina Luczak

We study a general setting of neutral evolution in which the population is of finite, constant size and can have spatial structure. Mutation leads to different genetic types ("traits"), which can be discrete or continuous. Under minimal…

Populations and Evolution · Quantitative Biology 2018-11-02 Alex McAvoy , Ben Adlam , Benjamin Allen , Martin A. Nowak

In this paper we address the problem of tracking multiple speakers via the fusion of visual and auditory information. We propose to exploit the complementary nature of these two modalities in order to accurately estimate smooth trajectories…

Computer Vision and Pattern Recognition · Computer Science 2019-10-30 Yutong Ban , Xavier Alameda-Pineda , Laurent Girin , Radu Horaud

Cities are typical dynamic complex systems that connect people and facilitate interactions. Revealing universal collective patterns behind spatio-temporal interactions between residents is crucial for various urban studies, of which we are…

Physics and Society · Physics 2024-06-11 Chenxin Liu , Yu Yang , Bingsheng Chen , Tianyu Cui , Fan Shang , Jingfang Fan , Ruiqi Li

Collective decision-making arises from individual agents integrating their own personal observations with information obtained from social partners. In many biological systems that exhibit collective decision-making, the process by which…

Quantitative Methods · Quantitative Biology 2026-04-28 Ling-Wei Kong , Naomi Ehrich Leonard , Andrew M. Hein

Acoustic animals (e.g., insects and frogs) aggregate and produce sounds for mating. Well-organized chorus structures like call alternation and call synchrony indicate the importance of the precise control of call timing by individual males.…

Adaptation and Self-Organizing Systems · Physics 2026-03-18 Ikkyu Aihara , Ryu Takeda , Masahiro Shirasaka , Daichi Kominami , Hiromitsu Awano , Masayuki Murata

Over the past two centuries, the frequency of word usage in major Western languages has exhibited small amplitude regular cycles, superimposed on larger background trends. We show that these cycles of word usage organize into semantically…

Physics and Society · Physics 2026-05-01 Alejandro Pardo Pintos , Diego E Shalom , Guillermo Cecchi , Gabriel Mindlin , Marcos A Trevisan

In this letter we present a stochastic dynamic model which can explain economic cycles. We show that the macroscopic description yields a complex dynamical landscape consisting of multiple stable fixed points, each corresponding to a split…

Physics and Society · Physics 2024-06-14 Sören Nagel , Jobst Heitzig , Eckehard Schöll

We present a simple mathematical model in which a time averaged pattern emerges out of spatio-temporal chaos as a result of the collective action of chaotic fluctuations. Our evolution equation possesses spatial translational symmetry under…

chao-dyn · Physics 2009-10-28 Shin-ichi Sasa

We present large scale and detailed analysis of the microscopic empirical data of the traffic flow, focusing on the non-linear interactions between the vehicles when the traffic is congested. By implementing a "renormalisation" procedure…

Adaptation and Self-Organizing Systems · Physics 2016-03-15 Bo Yang , Ji Wei Yoon , Christopher Monterola