Skip to main content
SpringerLink
Log in

A Multi-facet Survey on Criticality in Flocking Systems

  • Conference paper
  • First Online:
Proceedings of 2021 5th Chinese Conference on Swarm Intelligence and Cooperative Control

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 934))

  • 2049 Accesses

Abstract

As an intermediate state at the fine edge between order and disorder in the phase transformation process, criticality can endow systems with an ideal balance between the resistance to interference and flexibility to adapt to changing conditions, which is manifested as optimum calculation abilities, large dynamic repertoire, and unprecedented sensitivity to stimuli. In view of this, criticality-related researches give windows into an explanation of how intelligence of flocks emerges as a result of breakdown of locality and long-distance correlation. This paper aims at tracking the trajectory of studies on criticality in flocking systems and providing readers with an overview of literature on this active and fascinating research field from multi-angle perspectives. Specifically, through some bibliometric methods, such as analyzing the number of publications and citations, important research institutions and countries, cooperation relationship among authors, and structure of document co-citation clusters, the development trend and current situation of related studies are comprehensively reconstructed. It can be believed that through further in-depth studies, criticality will have the higher potential research and application value in future.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 469.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 599.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 599.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Chen, C., Ibekwe-SanJuan, F., Hou, J.: The structure and dynamics of cocitation clusters: a multiple-perspective cocitation analysis. J. Am. Soc. Inf. Sci. Technol. 61(7), 1386–1409 (2010)

    Article  Google Scholar 

  2. Albano, E.V.: Self-organized collective displacements of self-driven individuals. Phys. Rev. Lett. 77(10), 2129–2132 (1996)

    Article  Google Scholar 

  3. Attanasi, A., et al.: Finite-size scaling as a way to probe near-criticality in natural swarms. Phys. Rev. Lett. 113(23), 238102 (2014)

    Article  Google Scholar 

  4. Baglietto, G., Albano, E.V., Candia, J.: Criticality and the onset of ordering in the standard Vicsek model. Interface Focus 2(6), 708–714 (2012)

    Article  Google Scholar 

  5. Barnett, L., Brown, J., Bossomaier, T.: Anomalous behaviour of mutual information in finite flocks. EPL 120(3), 38005 (2017)

    Article  Google Scholar 

  6. Bauerle, T., Loffler, R.C., Bechinger, C.: Formation of stable and responsive collective states in suspensions of active colloids. Nat. Commun. 11(1), 2547 (2020)

    Article  Google Scholar 

  7. Bialek, W., et al.: Social interactions dominate speed control in poising natural flocks near criticality. Proc. Natl. Acad. Sci. U.S.A. 111(20), 7212–7217 (2014)

    Article  Google Scholar 

  8. Cai, J., Bao, H., Zuo, H.F., Huang, Y.: Safety evaluation of airworthiness requirement of bird-strike on aeroplane. Eng. Fail. Anal. 102(10), 407–416 (2019)

    Article  Google Scholar 

  9. Casiulis, M., Tarzia, M., Cugliandolo, L.F., Dauchot, O.: Velocity and speed correlations in Hamiltonian flocks. Phys. Rev. Lett. 124, 198001 (2020)

    Article  MATH  Google Scholar 

  10. Cavagna, A., et al.: Scale-free correlations in starling flocks. Proc. Natl. Acad. Sci. U.S.A. 107(26), 11865–11870 (2010)

    Article  Google Scholar 

  11. Cavagna, A., Conti, D., Giardina, I., Grigera, T.S.: Propagating speed waves in flocks: a mathematical model. Phys. Rev. E 98, 052404 (2018)

    Article  MathSciNet  Google Scholar 

  12. Cavagna, A., Culla, A., Di Carlo, L., Giardina, I., Grigera, T.S.: Low-temperature marginal ferromagnetism explains anomalous scale-free correlations in natural flocks. C. R. Phys. 20(4), 319–328 (2019)

    Article  Google Scholar 

  13. Cavagna, A., Giardina, I., Grigera, T.S.: The physics of flocking: correlation as a compass from experiments to theory. Phys. Rep.-Rev. Sect. Phys. Lett. 728(3), 1–62 (2018)

    MathSciNet  MATH  Google Scholar 

  14. Chakraborty, A., Bhattacharya, K.: Spontaneous fluctuations in a zero-noise model of flocking. EPL 116(4), 48001 (2016)

    Article  Google Scholar 

  15. Chen, L., Huepe, C., Gross, T.: Adaptive network models of collective decision making in swarming systems. Phys. Rev. E 94(2), 022415 (2016)

    Article  Google Scholar 

  16. Crosato, E., Spinney, R.E., Nigmatullin, R., Lizier, J.T., Prokopenko, M.: Thermodynamics and computation during collective motion near criticality. Phys. Rev. E 97(1), 012120 (2018)

    Article  Google Scholar 

  17. Daniels, B.C., Ellison, C.J., Krakauer, D.C., Flack, J.C.: Quantifying collectivity. Curr. Opin. Neurobiol. 37, 106–113 (2016)

    Article  Google Scholar 

  18. Daniels, B.C., Krakauer, D.C., Flack, J.C.: Control of finite critical behaviour in a small-scale social system. Nat. Commun. 8(1), 14301 (2017)

    Article  Google Scholar 

  19. Ferrari, U., Obuchi, T., Mora, T.: Random versus maximum entropy models of neural population activity. Phys. Rev. E 95(4), 042321 (2017)

    Article  Google Scholar 

  20. Ginelli, F., et al.: Intermittent collective dynamics emerge from conflicting imperatives in sheep herds. Proc. Natl. Acad. Sci. U.S.A. 112(41), 12729–12734 (2015)

    Article  Google Scholar 

  21. Goodenough, A.E., Little, N., Carpenter, W.S., Hart, A.G.: Birds of a feather flock together: insights into starling murmuration behaviour revealed using citizen science. PLoS ONE 12(6), 0179277 (2017)

    Article  Google Scholar 

  22. Hemelrijk, C.K., Hildenbrandt, H.: Scale-free correlations, influential neighbours and speed control in flocks of birds. J. Stat. Phys. 158(3), 563–578 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  23. Hidalgo, J., Grilli, J., Suweis, S., Maritan, A., Munoz, M.A.: Cooperation, competition and the emergence of criticality in communities of adaptive systems. J. Stat. Mech.-Theory Exp. 03, 033203 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  24. Hidalgo, J., et al.: Information-based fitness and the emergence of criticality in living systems. Proc. Natl. Acad. Sci. U.S.A. 111(28), 10095–10100 (2014)

    Article  Google Scholar 

  25. Huepe, C., Ferrante, E., Wenseleers, T., Turgut, A.E.: Scale-free correlations in flocking systems with position-based interactions. J. Stat. Phys. 158(3), 549–562 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  26. Ling, H.J., et al.: Costs and benefits of social relationships in the collective motion of bird flocks. Nat. Ecol. Evol. 3, 943–948 (2019)

    Article  Google Scholar 

  27. Ling, H.J., et al.: Local interactions and their group-level consequences in flocking jackdaws. Proc. R. Soc. B-Biol. Sci. 286(1906), 20190865 (2019)

    Article  Google Scholar 

  28. Lukovic, M., Vanni, F., Svenkeson, A., Grigolini, P.: Transmission of information at criticality. Physica a-Stat. Mech. Appl. 416, 430–438 (2014)

    Article  Google Scholar 

  29. Mateo, D., Kuan, Y.K., Bouffanais, R.: Effect of correlations in swarms on collective response. Sci. Rep. 7(1), 10388 (2017)

    Article  Google Scholar 

  30. Mora, T., Bialek, W.: Are biological systems poised at criticality? J. Stat. Phys. 144(2), 268–302 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  31. Munoz, M.A.: Colloquium: criticality and dynamical scaling in living systems. Rev. Mod. Phys. 90(3), 031001 (2018)

    Article  MathSciNet  Google Scholar 

  32. Niizato, T., Gunji, Y.P.: Fluctuation-driven flocking movement in three dimensions and scale-free correlation. PLoS ONE 7(5), e0035615 (2012)

    Article  Google Scholar 

  33. Niizato, T., Murakami, H., Gunji, Y.P.: Emergence of the scale-invariant proportion in a flock from the metric-topological interaction. Biosystems 119(1), 62–68 (2014)

    Article  Google Scholar 

  34. Niizato, T., et al.: Four-types of IIT-induced group integrity of plecoglossus altivelis. Entropy 22(7), 726 (2020)

    Article  Google Scholar 

  35. Ovchinnikov, I.V., et al.: Criticality or supersymmetry breaking? Symmetry-Basel 12(5), 805 (2020)

    Article  Google Scholar 

  36. Ramos, R.P., Oliveira, S.M., Vieira, S.M., Christensen, A.L.: Evolving flocking in embodied agents based on local and global application of Reynolds’ rules. PLoS ONE 14(10), e0224376 (2019)

    Article  Google Scholar 

  37. Ribeiro, T.L., Chialvo, D.R., Plenz, D.: Scale-free dynamics in animal groups and brain networks. Front. Syst. Neurosci. 14, 591210 (2021)

    Article  Google Scholar 

  38. Tarcai, N., et al.: Patterns, transitions and the role of leaders in the collective dynamics of a simple robotic flock. J. Stat. Mech.-Theory Exp. 2011(04), P04010 (2011)

    Article  Google Scholar 

  39. Tkacik, G., et al.: Thermodynamics and signatures of criticality in a network of neurons. Proc. Natl. Acad. Sci. U.S.A. 112(37), 11508–11513 (2015)

    Article  Google Scholar 

  40. Turalska, M., Geneston, E., West, B.J., Allegrini, P., Grigolini, P.: Cooperation-induced topological complexity: a promising road to fault tolerance and Hebbian learning. Front. Physiol. 3, 52 (2012)

    Article  Google Scholar 

  41. Vanni, F., Lukovic, M., Grigolini, P.: Criticality and transmission of information in a swarm of cooperative units. Phys. Rev. Lett. 107(7), 078103 (2011)

    Article  Google Scholar 

  42. Bialek, et al.: Statistical mechanics for natural flocks of birds. Proc. Natl. Acad. Sci. USA 109(13), 4786–4791 (2012)

    Article  Google Scholar 

  43. Attanasi, A., et al.: Information transfer and behavioural inertia in starling flocks. Nat. Phys. 10(9), 691–696 (2014)

    Article  Google Scholar 

  44. Attanasi, A., et al.: Collective behaviour without collective order in wild swarms of midges. PLoS Comput. Biol. 10(7), e1003697 (2014)

    Article  Google Scholar 

  45. Mora, T., Walczak, A.M., Castello, L.D., Ginelli, F., Giardina, I.: Local equilibrium in bird flocks. Nat. Phys. 12, 1153–1157 (2016)

    Article  Google Scholar 

  46. Vicsek, T., Zafeiris, A.: Collective motion. Phys. Rep. 517(3–4), 71–140 (2012)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. China Aerospace Academy of Systems Science and Engineering, Building 1, Yard 2, Yuetan North Street, Beijing, China

    Yixin Yang & Jie Jin

Authors
  1. Yixin Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jie Jin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yixin Yang .

Editor information

Editors and Affiliations

  1. Beihang University, Beijing, China

    Zhang Ren

  2. Beijing Institute of Electronic System Engineering, Beijing, China

    Mengyi Wang

  3. Beihang University, Beijing, China

    Yongzhao Hua

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Yang, Y., Jin, J. (2023). A Multi-facet Survey on Criticality in Flocking Systems. In: Ren, Z., Wang, M., Hua, Y. (eds) Proceedings of 2021 5th Chinese Conference on Swarm Intelligence and Cooperative Control. Lecture Notes in Electrical Engineering, vol 934. Springer, Singapore. https://doi.org/10.1007/978-981-19-3998-3_147

Download citation

  • DOI: https://doi.org/10.1007/978-981-19-3998-3_147

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-3997-6

  • Online ISBN: 978-981-19-3998-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation