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This letter seeks to illuminate the profound connection between complexity, self-organization, emergent behaviour, pattern formation, and entropy concepts that are foundational to understanding our universe. By examining these ideas through…

适应与自组织系统 · 物理学 2025-03-25 Vinesh Vijayan , Karpagavalli K , Sandhiya Jenifer J , Prakash R

Related to an idea of Lewin, a mathematical model for behavioral changes under the influence of a social field is developed. The social field reflects public opinion, social norms and trends. It is not only given by external factors (the…

统计力学 · 物理学 2007-05-23 Dirk Helbing

We use the context of dryland vegetation to study a general problem of complex pattern forming systems - multiple pattern-forming instabilities that are driven by distinct mechanisms but share the same spectral properties. We find that the…

斑图形成与孤子 · 物理学 2013-11-05 Shai Kinast , Yuval R. Zelnik , Golan Bel , Ehud Meron

Collective behavior in animals has long been modeled through self-propelled particle models, which reproduce striking group-level phenomena through abstract interaction forces. Yet these models are fundamentally descriptive: they leave open…

机器人学 · 计算机科学 2026-05-19 Vito Mengers , Bao Duc Cao , Oliver Brock

We illustrate shape mode analysis as a simple, yet powerful technique to concisely describe complex biological shapes and their dynamics. We characterize undulatory bending waves of beating flagella and reconstruct a limit cycle of…

定量方法 · 定量生物学 2015-06-22 Steffen Werner , Jochen C. Rink , Ingmar H. Riedel-Kruse , Benjamin M. Friedrich

We propose a model to represent the motility of social elements. The model is completely deterministic, possesses a small number of parameters, and exhibits a series of properties that are reminiscent of the behavior of comunities in…

适应与自组织系统 · 物理学 2009-11-13 A. Parravano , L. M. Reyes

Spatial self-organization emerges in distributed systems exhibiting local interactions when nonlinearities and the appropriate propagation of signals are at work. These kinds of phenomena can be modeled with different frameworks, typically…

细胞行为 · 定量生物学 2016-11-23 Adriano Bonforti , Salva Duran-Nebreda , Raul Montañez , Ricard Solé

Aerial displays of starlings (Sturnus vulgaris) at their communal roosts are complex: thousands of individuals form multiple flocks which are continually changing shape and density, while splitting and merging. To understand these complex…

定量方法 · 定量生物学 2011-08-26 H. Hildenbrandt , C. Carere , C-K. Hemelrijk

Aggregation is a common behavior by which groups of organisms arrange into cohesive groups. Whether suspended in the air (like honey bee clusters), built on the ground (such as army ant bridges), or immersed in water (such as sludge worm…

种群与进化 · 定量生物学 2022-06-23 O. Shishkov , O. Peleg

It is known from both theory and experiments that introducing time delays into the communication network of mobile-agent swarms produces coherent rotational patterns. Often such spatio-temporal rotations can be bistable with other swarming…

适应与自组织系统 · 物理学 2020-04-15 Jason Hindes , Victoria Edwards , Sayomi Kamimoto , Ioana Triandaf , Ira B. Schwartz

A new suggestion for pattern formation in biological systems is proposed. The interaction of two signaling pathways provides complex patterning. The interaction of two pathways involves few of the biochemical complexities of the pathways.…

生物物理 · 物理学 2009-11-10 Frederick W. Cummings

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 propose a minimal model of predator-swarm interactions which captures many of the essential dynamics observed in nature. Different outcomes are observed depending on the predator strength. For a "weak" predator, the swarm is able to…

适应与自组织系统 · 物理学 2014-03-14 Yuxin Chen , Theodore Kolokolnikov

The concept of evolutionary development of structures constituted a \emph{real} revolution in biology: it was possible to understand how the very complex structures of life can arise in an out-of-equilibrium system. The investigation of…

种群与进化 · 定量生物学 2009-08-27 Franco Bagnoli

This paper proposes an agent-based model which reproduces different structures of animal groups. The shape and structure of the group is the effect of simple interaction rules among individuals: each animal deploys itself depending on the…

动力系统 · 数学 2011-03-18 Emiliano Cristiani , Paolo Frasca , Benedetto Piccoli

Recent studies in interpretability have explored the inner workings of transformer models trained on tasks across various domains, often discovering that these networks naturally develop highly structured representations. When such…

We consider the problem of learning the dynamics in the topology of time-evolving point clouds, the prevalent spatiotemporal model for systems exhibiting collective behavior, such as swarms of insects and birds or particles in physics. In…

机器学习 · 计算机科学 2024-11-14 Sebastian Zeng , Florian Graf , Martin Uray , Stefan Huber , Roland Kwitt

Mutualistic networks have been shown to involve complex patterns of interactions among animal and plant species. The architecture of these webs seems to pervade some of their robust and fragile behaviour. Recent work indicates that there is…

种群与进化 · 定量生物学 2016-12-07 Sergi Valverde , Jose Montoya , Lucas Joppa , Ricard Sole

Swarm perception refers to the ability of a robot swarm to utilize the perception capabilities of each individual robot, forming a collective understanding of the environment. Their distributed nature enables robot swarms to continuously…

Swarm Intelligence (SI) is the property of a system whereby the collective behaviors of (unsophisticated) entities interacting locally with their environment cause coherent functional global patterns to emerge. SI provides a basis with…

适应与自组织系统 · 物理学 2007-05-23 Vitorino Ramos , Carlos Fernandes , Agostinho C. Rosa
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