Coarse-grained analysis of stochasticity-induced switching between collective motion states

Proceedings of the National Academy of Sciences of the United States of America

Volumn 104, Issue 14, 2007, Pages 5931-5935

  Kolpas, Allison ^a   Moehlis, Jeff ^b   Kevrekidis, Ioannis G ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b University of California   (United States)

^c Princeton University   (United States)

Author keywords

Coarse graining; Equation free; Individual based model; Schooling; Self organization

Indexed keywords

ARTICLE; CALCULATION; COMPUTER ANALYSIS; CONCEPTUAL FRAMEWORK; DYNAMICS; GRAIN; MATHEMATICAL ANALYSIS; MOTION; NONHUMAN; POPULATION ABUNDANCE; POPULATION DYNAMICS; PRIORITY JOURNAL; STOCHASTIC MODEL; ANIMAL; COMPUTER SIMULATION; STATISTICAL MODEL; STATISTICS;

ANIMALIA;

ANIMALS; COMPUTER SIMULATION; MODELS, STATISTICAL; MOTION; STOCHASTIC PROCESSES;

EID: 34347254644     PISSN: 00278424     EISSN: None     Source Type: Journal    
DOI: 10.1073/pnas.0608270104     Document Type: Article

References (30)

1. Camazine S, Deneubourg J-L, Franks NR, Sneyd J, Theraula G, Bonabeau E (2001) Self-Organization in Biological Systems (Princeton Univ Press, Princeton).
2. Parrish JK, Edelstein-Keshet L (1999) Science 284:99-101.
3. Koltes KH (1984) Mar Biol 78:113-122.
4. Aoki I (1982) Bull Jap Soc Fish 48:1081-1088.
5. Warburton K, Lazarus J (1991) J Theor Biol 150:473-488.
6. Huth A, Wissel C (1994) Ecol Model 75:135-146.
7. Reuter H, Breckling B (1994) Ecol Model 75:147-159.
8. Romey WL (1996) Ecol Model 92:65-77.
9. Czirók A, Vicsek T (2001) in Fluctuations and Scaling in Biology, ed Vicsek T (Oxford Univ Press, Oxford), pp 177-242.
10. Couzin ID, Krause J, James R, Ruxton GD, Franks NR (2002) J Theor Biol 218:1-11.
11. Parrish JK, Viscido S, Grünbaum D (2002) Biol Bull 202:296-305.
12. Buhl J, Sumpter DJT, Couzin ID, Hale JJ, Despland E, Miller ER, Simpson SJ (2006) Science 312:1402-1406.
13. O'Loan OJ, Evans MR (1999) J Phys A 32:L99-L105.
14. Raymond JR, Evans MR (2006) Phys Rev E 72:036112.
15. Huepe C, Aldana M (2004) Phys Rev Lett 92:168701.
16. Grégoire G, Chaté H, Tu Y (2003) Physica D 181:157-170.
17. Erdmann U, Ebeling W, Mikhailov AS (2005) Phys Rev E 71:051904.
18. Grimm V, Railsback SF (2005) Individual-Based Modeling and Ecology (Princeton Univ Press, Princeton).
19. Bonabeau E (2002) Proc Natl Acad Sci USA 99:7280-7287.
20. Kevrekidis IG, Gear CW, Hyman JM, Kevrekidis PG, Runborg O, Theodoropoulos T (2003) Comm Math Sci 1:715-762.
21. Krause J, Ruxton GD (2002) Living in Groups (Oxford Univ Press, Oxford).
22. Partridge BL (1982) Sci Am 246:90-99.
23. Haataja M, Srolovitz DJ, Kevrekidis IG (2004) Phys Rev Lett 92:160603.
24. Hummer G, Kevrekidis IG (2003) J Chem Phys 118:10762-10773.
25. Kopelevich DI, Panagiotopoulos AZ, Kevrekidis IG (2005) J Chem Phys 122:044908.
26. Gardiner CW (2004) Handbook of Stochastic Methods (Springer, Berlin).
27. Risken H (1996) The Fokker-Planck Equation: Methods of Solution and Applications (Springer, Berlin).
28. Coffey WT, Kalmykov YP, Waldron JT (2004) The Langevin Equation: With Applications to Stochastic Problems in Physics, Chemistry, and Electrical Engineering (World Scientific, Singapore).
29. Couzin ID, Krause J, Franks NR, Levin SA (2005) Nature 433:513-516.
30. Inada Y, Kawachi K (2002) J Theor Biol 214:371-387.