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Increasing evidence of the effects of changing climate on physical ocean conditions and long-term changes in fish populations adds to the need to understand the effects of stochastic forcing on marine populations. Cohort resonance is of…

Populations and Evolution · Quantitative Biology 2010-08-11 Lee Worden , Louis W. Botsford , Alan Hastings , Matthew D. Holland

We review recent progress in understanding the full phase diagram of a one-dimensional, driven, two-species lattice model [Lahiri and Ramaswamy, PRL 79 (1997) 1150] in which the mobility of each species depends on the density of the other.…

Statistical Mechanics · Physics 2007-05-23 Sriram Ramaswamy , Mustansir Barma , Dibyendu Das , Abhik Basu

Schooling fish often self-organize into a variety of collective patterns, from polarized schooling to rotational milling. Mathematical models support the emergence of these large-scale patterns from local decentralized interactions, in the…

Adaptation and Self-Organizing Systems · Physics 2025-07-23 Alyssa Chan , Eva Kanso

Collective behaviour is a widespread phenomenon in biology, cutting through a huge span of scales, from cell colonies up to bird flocks and fish schools. The most prominent trait of collective behaviour is the emergence of global order:…

Statistical Mechanics · Physics 2015-06-16 A. Attanasi , A. Cavagna , L. Del Castello , I. Giardina , S. Melillo , L. Parisi , O. Pohl , B. Rossaro , E. Shen , E. Silvestri , M. Viale

There is increasing evidence that fish gain energetic benefits when they swim in a school. The most recent indications of such benefits are a lower tail (or fin) beat at the back of a school and reduced oxygen consumption in schooling fish…

Quantitative Methods · Quantitative Biology 2013-07-30 C. K. Hemelrijk , D. A. P. Reid , H. Hildenbrandt , J. T. Padding

We report on the dynamics of collective alignment in groups of the cichlid fish, Etroplus suratensis. Focusing on small-to-intermediate sized groups ($10<N<100$), we demonstrate that schooling (highly polarised and coherent motion) is…

Statistical Mechanics · Physics 2020-04-22 Jitesh Jhawar , Richard G. Morris , U. R. Amith-Kumar , M. Danny Raj , Harikrishnan R. , Vishwesha Guttal

One of the most highly debated questions in the field of animal swarming and social behaviour, is the collective random patterns and chaotic behaviour formed by some animal species, in particular if there is a danger. Is such a behaviour…

Populations and Evolution · Quantitative Biology 2017-01-04 Usama Kadri , Franz Brümmer , Anan Kadri

The self-organised motion of vast numbers of creatures in a single direction is a spectacular example of emergent order. We recreate this phenomenon using actuated non-living components. We report here that millimetre-sized tapered rods,…

Soft Condensed Matter · Physics 2014-09-23 Nitin Kumar , Harsh Soni , Sriram Ramaswamy , A. K. Sood

We discovered numerically a scaling law obeyed by the amplitude of collective mo tion in large populations of chaotic elements. Our analysis strongly suggests that such populations generically exhibit collective motion in the presence of…

chao-dyn · Physics 2009-10-28 N. Nakagawa , T. S. Komatsu

Cilia and flagella often exhibit synchronized behavior; this includes phase locking, as seen in {\it Chlamydomonas}, and metachronal wave formation in the respiratory cilia of higher organisms. Since the observations by Gray and Rothschild…

Soft Condensed Matter · Physics 2016-05-19 Kirsty Y. Wan , Raymond E. Goldstein

Self-propelled particles with hydrodynamic interactions (microswimmers) have previously been shown to produce long-range ordering phenomena. Many theoretical explanations for these collective phenomena are connected to instabilities in the…

Soft Condensed Matter · Physics 2017-05-03 Yuzhou Qian , Peter R. Kramer , Patrick T. Underhill

Empirical observations in marine ecosystems have suggested a balance of biological and advection time scales as a possible explanation of species coexistence. To characterise this scenario, we measure the time to fixation in neutrally…

Populations and Evolution · Quantitative Biology 2018-04-09 Tobias Galla , Vicente Pérez-Muñuzuri

We formulate a mathematical model for daily activities of a cow (eating, lying down, and standing) in terms of a piecewise affine dynamical system. We analyze the properties of this bovine dynamical system representing the single animal and…

Adaptation and Self-Organizing Systems · Physics 2015-05-18 Jie Sun , Erik M. Bollt , Mason A. Porter , Marian S. Dawkins

We consider the collective behaviour of active particles that locally align with their neighbours. Agent-based simulation models have previously shown that in one dimension, these particles can form into a flock that maintains its stability…

Statistical Mechanics · Physics 2018-12-26 Eoin Ó Laighléis , Martin R. Evans , Richard A. Blythe

For group-living animals, reaching consensus to stay cohesive is crucial for their fitness, particularly when collective motion starts and stops. Understanding the decision-making at individual and collective levels upon sudden disturbances…

Biological Physics · Physics 2017-02-08 Sylvain Toulet , Jacques Gautrais , Richard Bon , Fernando Peruani

Social insects are ecologically and evolutionarily most successful organisms on earth, which can achieve robust collective behaviors through local interactions among group members. Colony migration has been considered as a leading example…

Dynamical Systems · Mathematics 2022-06-15 Lisha Wang , Zhipeng Qiu , Takao Sasaki , Yun Kang

Clusters of co-rotating vortices on compact fluid domains exhibit a simple collective dynamics, combining coherent global rotation with a slow breathing of the cluster size. In this work, we investigate an analytically tractable model of…

Fluid Dynamics · Physics 2026-04-15 Aswathy KR , Rickmoy Samanta

In this note we continue our study of unidirectional solutions to hydrodynamic Euler alignment systems with strongly singular communication kernels $\phi(x):=|x|^{-(n+\alpha)}$ for $\alpha\in(0,2)$. The solutions describe unidirectional…

Analysis of PDEs · Mathematics 2020-02-17 Daniel Lear , Roman Shvydkoy

Animals living in groups make movement decisions that depend, among other factors, on social interactions with other group members. Our present understanding of social rules in animal collectives is mainly based on empirical fits to…

Quantitative Methods · Quantitative Biology 2011-11-22 Alfonso Pérez-Escudero , Gonzalo G. de Polavieja

Based on Brownian Dynamics (BD) simulations, we study the dynamical self-assembly of active Brownian particles with dipole-dipole interactions, stemming from a permanent point dipole at the particle center. The propulsion direction of each…

Soft Condensed Matter · Physics 2021-06-09 Guo-Jun Liao , Carol K. Hall , Sabine H. L. Klapp