ArticleNature communications2020
Vortex phase matching as a strategy for schooling in robots and in fish.
Article in Nature communications, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 40 papers.
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Who cites it
40 citing papers in PubMed.
- Closed-loop real-virtual interactions validate 3D model of social coordination in fish.PLoS computational biology · 2026Article
- Swimming with robots: investigating fish locomotion, sensing, and schooling behavior with robotic swimmers.Nature communications · 2026Review
- Self-reorganization and information transfer in large-scale models of fish schools.Nature communications · 2026Article
- Self-reconfigurable robotic fish swarms: Collective achievement of diverse locomotion and challenging aquatic tasks.Science advances · 2026Article
- Artificial embodied circuits uncover neural architectures of vertebrate visuomotor behaviors.Science robotics · 2025Article
- Beyond propulsion: muscle proprioception enables hydrodynamic sensing in fish body.Proceedings. Biological sciences · 2025Article
- Flow velocity and boundary effects on fish interaction.Scientific reports · 2025Article
- On the integration of collective motion and temporal synchrony in animal collectives.Movement ecology · 2025Article
- Beyond planar: fish schools adopt ladder formations in 3D.Scientific reports · 2025Article
- Interfacial vortex recapture enhances thrust in tiny water skaters.bioRxiv : the preprint server for biology · 2025Article
- Information and Knowledge Diffusion Dynamics in Complex Networks with Independent Spreaders.Entropy (Basel, Switzerland) · 2025Article
- Behavioural energetics in human locomotion: how energy use influences how we move.The Journal of experimental biology · 2025Review
- Article
- Non-invasive eye tracking and retinal view reconstruction in free swimming schooling fish.Communications biology · 2024Article
- Tuning collective behaviour in zebrafish with genetic modification.PLoS computational biology · 2024Article
- Investigating the Influence of Counterflow Regions on the Hydrodynamic Performance of Biomimetic Robotic Fish.Biomimetics (Basel, Switzerland) · 2024Article
- Selective decision-making and collective behavior of fish by the motion of visual attention.PNAS nexus · 2024Article
- The interplay of group size and flow velocity modulates fish exploratory behaviour.Scientific reports · 2024Article
- Flow interactions lead to self-organized flight formations disrupted by self-amplifying waves.Nature communications · 2024Article
- Tailbeat perturbations improve swimming efficiency by reducing the phase lag between body motion and the resulting fluid response.PNAS nexus · 2024Article
Corrections and comments
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Authors and funding
6 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
It has long been proposed that flying and swimming animals could exploit neighbour-induced flows. Despite this it is still not clear whether, and if so how, schooling fish coordinate their movement to benefit from the vortices shed by others. To address this we developed bio-mimetic fish-like robots which allow us to measure directly the energy consumption associated with swimming together in pairs (the most common natural configuration in schooling fish). We find that followers, in any relative position to a near-neighbour, could obtain hydrodynamic benefits if they exhibit a tailbeat phase difference that varies linearly with front-back distance, a strategy we term 'vortex phase matching'. Experiments with pairs of freely-swimming fish reveal that followers exhibit this strategy, and that doing so requires neither a functioning visual nor lateral line system. Our results are consistent with the hypothesis that fish typically, but not exclusively, use vortex phase matching to save energy.
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