New tools for characterizing swarming systems: A comparison of minimal models

Physica A: Statistical Mechanics and its Applications

Volumn 387, Issue 12, 2008, Pages 2809-2822

  Huepe, Cristián ^a   Aldana, Maximino ^b  

^a Universidad Nacional Autónoma de México ^*  (United States)

^b INSTITUTO DE CIENCIAS FÍSICAS   (Mexico)

Author keywords

Collective motion; Non equilibrium systems; Phase transitions; Self propelled particle; Swarming models; Swarms

Indexed keywords

CLUSTER ANALYSIS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PHASE TRANSITIONS;

COLLECTIVE MOTION; NONEQUILIBRIUM SYSTEMS; SELF PROPELLED PARTICLES; SWARMING MODELS; SWARMING SYSTEMS;

SYSTEMS ANALYSIS;

EID: 40249116257     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2008.01.081     Document Type: Article

References (34)

1. Reynolds C.W. Flocks, herds, and schools: A distributed behavioral model. Comput. Graph. 21 (1987) 25
2. Warburton K., and Lazarus J. Tendency-distance models of social cohesion in animal groups. J. Theoret. Biol. 150 (1991) 473
3. Grunbaum D., and Okubo A. Modeling social animal aggregations. Frontiers in Theoretical Biology. Lecture Notes in Biomathematics vol. 100 (1994), Springer-Verlag, New York 296-325
4. Vicsek T., Czirók A., Ben-Jacob E., Cohen I., and Shochet O. Novel type of phase transition in a system of self-driven particles. Phys. Rev. Lett. 75 (1995) 1226
5. Shimoyama N., Sugawara K., Mizuguchi T., Hayakawa Y., and Sano M. Collective motion in a system of motile elements. Phys. Rev. Lett. 76 (1996) 3870-3873
6. Albano E.V. Self-organized collective displacements of self-driven individuals. Phys. Rev. Lett. 77 (1996) 2129-2132
7. Levine H., Rappel W.-J., and Cohen I. Self-organization in systems of self-propelled particles. Phys. Rev. E 63 (2000) 017101
8. Couzin I.D., Krause J., James R., Ruxton G.D., and Franks N.R. Collective memory and spatial sorting in animal groups. J. Theoret. Biol. 218 (2002) 1
9. Gueron S., Levin S.A., and Rubenstein D.I. The dynamics of herds: From individuals to aggregations. J. Theoret. Biol. 182 (1996) 85-98
10. Flierl G., Grunbaum D., Levin S., and Olson D. From individuals to aggregations: The interplay between behavior and physics. J. Theoret. Biol. 196 (1999) 397
11. Parrish J.K., and Edelstein-Keshet L. Complexity, pattern, and evolutionary trade-offs in animal aggregation. Science 284 (1999) 99
12. In: Parrish J.K., and Hamner W.H. (Eds). Animal Groups in Three Dimensions (1997), Cambridge University Press, Cambridge, MA (and references therein)
13. Couzin I.D., Krause J., Franks N.R., and Levin S.A. Effective leadership and decision-making in animal groups on the move. Nature 433 (2005) 513
14. Grégoire G., and Chaté H. Onset of collective and cohesive motion. Phys. Rev. Lett. 92 (2004) 025702
15. Cucker F., and Smale S. Emergent behavior in flocks. IEEE Trans. Automat. Control 52 (2007) 852
16. Erdmann U., Ebeling W., and Mikhailov A.S. Noise-induced transition from translational to rotational motion of swarms. Phys. Rev. E 71 (2005) 051904
17. Czirók A., Eugene Stanley H., and Vicsek T. Spontaneous ordered motion of self-propelled particles. J. Phys. A 30 (1997) 1375
18. Czirók A., and Vicsek T. Collective behavior of interacting self-propelled particles. Physica A 281 (2000) 17
19. Aldana M., and Huepe C. Phase transitions in self-driven many-particle systems and related non-equilibrium models: A network approach. J. Stat. Phys. 112 (2003) 135-153
20. Huepe C., and Aldana M. Intermittency and clustering in a system of self-driven particles. Phys. Rev. Lett. 92 (2004) 168701
21. Aldana M., Dossetti V., Huepe C., Kenkre V.M., and Larralde H. Phase transitions in systems of self-propelled agents and related network models. Phys. Rev. Lett. 98 (2007) 095702
22. Leimkuhler B., and Reich S. Simulating Hamiltonian dynamics. Cambridge Monographs on Applied and Computational Mathematics (2004), Cambridge University Press
23. McLachlan R.I., Reinout G., and Quispel W. Geometric integrators. J. Phys. A 39 (2006) 5251-5285
24. Bridges T.J., and Reich S. Numerical methods for Hamiltonian PDEs. J. Phys. A 39 (2006) 5287-5320
25. Shadwick B.A., Bowman J.C., and Morrison P.J. Exactly conservative integrators. SIAM J. Appl. Math. 59 3 (1999) 1112-1133
26. Toner J., and Tu Y. Long-range order in a two-dimensional dynamical XY model: How birds fly together. Phys. Rev. Lett. 75 (1995) 4326-4329
27. Huth A., and Wissel C. The simulation of fish schools in comparison with experimental-data. Ecol. Model. 75 (1994) 135-146
28. Nagy M., Daruka I., and Vicsek T. New aspects of the continuous phase transition in the scalar noise model (SNM) of collective motion. Physica A 373 (2006) 445
29. H. Chaté, Private communication, 2007
30. M. Ballerini, N. Cabibbo, R. Candelier, A. Cavagna, E. Cisbani, I. Giardina, V. Lecomte, A. Orlandi, G. Parisi, A. Procaccini, M. Viale, V. Zdravkovic, Interaction Ruling Animal Collective Behaviour Depends on Topological Rather than Metric Distance: Evidence from a Field Study, arXiv:0709.1916v1 [q-bio.PE] (2007)
31. Wolfram Research, Inc. Mathematica 6.0 Wolfram Research, Inc., Champaign, IL 2005
32. Viscido S.V., Parrish J.K., and Grunbaum D. Individual behavior and emergent properties of fish schools: A comparison of observation and theory. Marine Ecology - Progress Series 273 (2004) 239-249
33. Tien J.H., Levin S.A., and Rubenstein D.I. Dynamics of fish shoals: Identifying key decision rules. Evol. Ecol. Res. 6 4 (2004) 555-565
34. Buhl J., Sumpter D.J.T., Couzin I.D., Hale J.J., Despland E., Miller E.R., and Simpson S.J. From disorder to order in marching locusts. Science 312 (2006) 1402