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Collective behavior is studied in globally coupled maps with distributed nonlinearity. It is shown that the heterogeneity enhances regularity in the collective dynamics. Low-dimensional quasiperiodic motion is often found for the…

chao-dyn · Physics 2009-10-28 Tatsuo Shibata , Kunihiko Kaneko

The suppression of density fluctuations at different length scales is the hallmark of hyperuniformity. However, its existence and significance in jammed solids is still a matter of debate. We explore the presence of this hidden order in a…

Statistical Mechanics · Physics 2018-12-10 Yuanjian Zheng , Yan-Wei Li , Massimo Pica Ciamarra

The complexity of many biological, social and technological systems stems from the richness of the interactions among their units. Over the past decades, a great variety of complex systems has been successfully described as networks whose…

Regular patterns of vegetation are considered widespread landscapes, although their global extent has never been estimated. Among them, spotted landscapes are of particular interest in the context of climate change. Indeed, regularly spaced…

Computer Vision and Pattern Recognition · Computer Science 2024-09-04 Baki Uzun , Shivam Pande , Gwendal Cachin-Bernard , Minh-Tan Pham , Sébastien Lefèvre , Rumais Blatrix , Doyle McKey

In human crowds as well as in many animal societies, local interactions among individuals often give rise to self-organized collective organizations that offer functional benefits to the group. For instance, flows of pedestrians moving in…

Nature is a blossoming of regular structures, signature of self-organization of the underlying microscopic interacting agents. Turing theory of pattern formation is one of the most studied mechanisms to address such phenomena and has been…

Pattern Formation and Solitons · Physics 2025-10-22 Riccardo Muolo , Lorenzo Giambagli , Hiroya Nakao , Duccio Fanelli , Timoteo Carletti

Ecological models traditionally explain stability and coexistence through pairwise interactions among species. These interactions can also involve groups of three or more species, higher-order interactions, which recent theory suggests can…

Populations and Evolution · Quantitative Biology 2025-10-07 Marc Duran-Sala , Sandro Meloni , Violeta Calleja-Solanas

The half-filled attractive Hubbard model exhibits simultaneous charge density wave and superconducting order in its ground state. In this paper we explore the effect of disorder in the site energies on this degeneracy. We find that…

Condensed Matter · Physics 2009-10-28 C. Huscroft , R. T. Scalettar

On a global level, ecological communities are being perturbed at an unprecedented rate by human activities and environmental instabilities. Yet, we understand little about what factors facilitate or impede long-term persistence of these…

Populations and Evolution · Quantitative Biology 2024-10-24 Johannes Nauta , Manlio De Domenico

Circumnutations are widespread in plants and typically associated with exploratory movements, however a quantitative understanding of their role remains elusive. In this study we report, for the first time, the role of noisy circumnutations…

Tissues and Organs · Quantitative Biology 2023-08-02 Chantal Nguyen , Imri Dromi , Aharon Kempinski , Gabriella E. C. Gall , Orit Peleg , Yasmine Meroz

Inspired by the swarming or flocking of animal systems we study groups of agents moving in unbounded 2D space. Individual trajectories derive from a ``bottom-up'' principle: individuals reorient to maximise their future path entropy over…

Statistical Mechanics · Physics 2023-04-21 Harvey L. Devereux , Matthew S. Turner

Statistical learning in high-dimensional spaces is challenging without a strong underlying data structure. Recent advances with foundational models suggest that text and image data contain such hidden structures, which help mitigate the…

Machine Learning · Statistics 2025-02-04 Charles Arnal , Clement Berenfeld , Simon Rosenberg , Vivien Cabannes

We present a modified water-vegetation model to investigate the mechanistic relationship between infiltration-soil moisture feedback and vegetation pattern in arid/semi-arid ecosystems. Employing Turing pattern formation theory, we drive…

Dynamical Systems · Mathematics 2025-08-05 Juan Yan , Xiaoli Wang , Guohong Zhang , Yuan Yuan

Hyperuniformity characterizes a state of matter for which density fluctuations diminish towards zero at the largest length scales. However, the task of determining whether or not an experimental system is hyperuniform is experimentally…

Soft Condensed Matter · Physics 2015-06-22 Remi Dreyfus , Ye Xu , Tim Still , Lawrence A. Hough , A. G. Yodh , Salvatore Torquato

We apply a recently developed unsupervised machine learning scheme for local atomic environments to characterize large-scale, disordered aggregates formed by sequence-defined macromolecules. This method provides new insight into the…

Soft Condensed Matter · Physics 2023-01-03 Antonia Statt , Devon C. Kleeblatt , Wesley F. Reinhart

Disorder hyperuniform (DHU) systems possess a hidden long-range order manifested as the complete suppression of normalized large-scale density fluctuations like crystals, which endows them with many unique properties. Here, we demonstrate a…

Soft Condensed Matter · Physics 2025-05-29 Jing Wang , Zihao Sun , Huaicheng Chen , Gao Wang , Duyu Chen , Guo Chen , Jianwei Shuai , Mingcheng Yang , Yang Jiao , Liyu Liu

Localised radial patterns have been observed in the vegetation of semi-arid ecosystems, often as localised patches of vegetation or in the form of `fairy circles'. We consider stationary localised radial solutions to a reduced model for…

Dynamical Systems · Mathematics 2024-10-14 Dan J Hill

Hierarchy is one of the most conspicuous features of numerous natural, technological and social systems. The underlying structures are typically complex and their most relevant organizational principle is the ordering of the ties among the…

Physics and Society · Physics 2014-03-05 Tamás Nepusz , Tamás Vicsek

Our planet is roughly closed to matter, but open to energy input from the sun. However, to harness this energy, organisms must transform matter from one chemical (redox) state to another. For example, photosynthetic organisms can capture…

Populations and Evolution · Quantitative Biology 2024-03-04 Akshit Goyal , Avi I. Flamholz , Alexander P. Petroff , Arvind Murugan

In two-dimensional tissues, such as developing germ layers, pair-wise forces (or active stresses) arise from the contractile activity of the cytoskeleton, with dissipation provided by the three-dimensional surroundings. We show analytically…

Soft Condensed Matter · Physics 2025-07-17 Yann-Edwin Keta , Silke Henkes