Efficient flocking: metric versus topological interactions
Flocking is a fascinating phenomenon observed across a wide range of living organisms. We investigate, based on a simple self-propelled particle model, how the emergence of ordered motion in a collectively moving group is influenced by the local rules of interactions among the individuals, namely, m...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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The Royal Society
2021-09-01
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| Series: | Royal Society Open Science |
| Subjects: | |
| Online Access: | https://royalsocietypublishing.org/doi/10.1098/rsos.202158 |
| _version_ | 1811214500889624576 |
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| author | Vijay Kumar Rumi De |
| author_facet | Vijay Kumar Rumi De |
| author_sort | Vijay Kumar |
| collection | DOAJ |
| description | Flocking is a fascinating phenomenon observed across a wide range of living organisms. We investigate, based on a simple self-propelled particle model, how the emergence of ordered motion in a collectively moving group is influenced by the local rules of interactions among the individuals, namely, metric versus topological interactions as debated in the current literature. In the case of the metric ruling, the individuals interact with the neighbours within a certain metric distance; by contrast, in the topological ruling, interaction is confined within a number of fixed nearest neighbours. Here, we explore how the range of interaction versus the number of fixed interacting neighbours affects the dynamics of flocking in an unbounded space, as observed in natural scenarios. Our study reveals the existence of a certain threshold value of the interaction radius in the case of metric ruling and a threshold number of interacting neighbours for the topological ruling to reach an ordered state. Interestingly, our analysis shows that topological interaction is more effective in bringing the order in the group, as observed in field studies. We further compare how the nature of the interactions affects the dynamics for various sizes and speeds of the flock. |
| first_indexed | 2024-04-12T06:05:45Z |
| format | Article |
| id | doaj.art-1e45bf109dd04043824adde1ea0518dd |
| institution | Directory Open Access Journal |
| issn | 2054-5703 |
| language | English |
| last_indexed | 2024-04-12T06:05:45Z |
| publishDate | 2021-09-01 |
| publisher | The Royal Society |
| record_format | Article |
| series | Royal Society Open Science |
| spelling | doaj.art-1e45bf109dd04043824adde1ea0518dd2022-12-22T03:44:53ZengThe Royal SocietyRoyal Society Open Science2054-57032021-09-018910.1098/rsos.202158Efficient flocking: metric versus topological interactionsVijay Kumar0Rumi De1Department of Physical Sciences, Indian Institute of Science Education and Research Kolkata, Mohanpur 741246, West Bengal, IndiaDepartment of Physical Sciences, Indian Institute of Science Education and Research Kolkata, Mohanpur 741246, West Bengal, IndiaFlocking is a fascinating phenomenon observed across a wide range of living organisms. We investigate, based on a simple self-propelled particle model, how the emergence of ordered motion in a collectively moving group is influenced by the local rules of interactions among the individuals, namely, metric versus topological interactions as debated in the current literature. In the case of the metric ruling, the individuals interact with the neighbours within a certain metric distance; by contrast, in the topological ruling, interaction is confined within a number of fixed nearest neighbours. Here, we explore how the range of interaction versus the number of fixed interacting neighbours affects the dynamics of flocking in an unbounded space, as observed in natural scenarios. Our study reveals the existence of a certain threshold value of the interaction radius in the case of metric ruling and a threshold number of interacting neighbours for the topological ruling to reach an ordered state. Interestingly, our analysis shows that topological interaction is more effective in bringing the order in the group, as observed in field studies. We further compare how the nature of the interactions affects the dynamics for various sizes and speeds of the flock.https://royalsocietypublishing.org/doi/10.1098/rsos.202158flockingtopological and metric interactionmathematical modellingstatistical analysisswarm behaviour |
| spellingShingle | Vijay Kumar Rumi De Efficient flocking: metric versus topological interactions Royal Society Open Science flocking topological and metric interaction mathematical modelling statistical analysis swarm behaviour |
| title | Efficient flocking: metric versus topological interactions |
| title_full | Efficient flocking: metric versus topological interactions |
| title_fullStr | Efficient flocking: metric versus topological interactions |
| title_full_unstemmed | Efficient flocking: metric versus topological interactions |
| title_short | Efficient flocking: metric versus topological interactions |
| title_sort | efficient flocking metric versus topological interactions |
| topic | flocking topological and metric interaction mathematical modelling statistical analysis swarm behaviour |
| url | https://royalsocietypublishing.org/doi/10.1098/rsos.202158 |
| work_keys_str_mv | AT vijaykumar efficientflockingmetricversustopologicalinteractions AT rumide efficientflockingmetricversustopologicalinteractions |