Aggregation pattern transitions by slightly varying the attractive/repulsive function

PLoS ONE

Volumn 6, Issue 7, 2011, Pages

  Cheng, Zhao ^a,b   Zhang, Hai Tao ^a   Chen, Michael Z Q ^c,d   Zhou, Tao ^e   Valeyev, Najl V ^f  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b Temple University   (United States)

^c UNIVERSITY OF HONG KONG   (Hong Kong)

^d NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^e UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA   (China)

^f UNIVERSITY OF KENT   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ATTRACTIVE REPULSIVE FUNCTION; MATHEMATICAL MODEL; PHASE TRANSITION; PHYSICAL PHENOMENA; BIOLOGICAL MODEL; ENGINEERING;

ENGINEERING; MODELS, BIOLOGICAL; PHYSICAL PROCESSES;

EID: 79960612061     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0022123     Document Type: Article

References (45)

1. Vicsek T, Czirók A, Ben-Jacob E, Cohen I, Shochet O, (1995) Novel type of phase transition in a system of self-driven particles. Phys Rev Lett 75: 1226-1229.
2. Grégoire G, Chaté H, (2004) Onset of collective and cohesive motion. Phys Rev Lett 92: 025702.
3. Aldana M, Dossetti V, Huepe C, Kenkre VM, Larralde H, (2007) Phase transitions in systems of self-propelled agents and related network models. Phys Rev Lett 98: 095702.
4. Akyildiz IF, Su W, Sankarasubramaniam Y, Cayirci E, (2002) Wireless sensor networks: a survey. Computers Network 38: 393-422.
5. Arai T, Pagello E, Parker LE, (2002) Guest editorial advances in multirobot systems, IEEE TransRobotics and Automation 18: 655-661.
6. Bertsekas DP, Tsitsiklis JN, (2007) Comments on "Coordination of groups of mobile autonomous agents using nearest neighbor rules". IEEE Trans Automat Contr 52: 968-969.
7. Ogren P, Fiorelli E, Leonard NE, (2004) Cooperative control of mobile sensor networks: adaptive gradient climbing in a distributed environment. IEEE Trans AutomatContr 49: 1292-1302.
8. Helbing D, (2001) Traffic and related self driven many-particle systems. Rev Mod Phys 73: 1067-1141.
9. Perc M, (2007) Premature seizure of traffic flow due to the introduction of evolutionary games. New J Phys 9: 3.
10. Moussaid M, Helbing D, Theraulaz G, (2011) How simple rules determine pedestrian behavior and crowd disasters. Proc Natl Acad Sci U S A 108: 6884-6888.
11. Helbing D, Farkas I, Vicsek T, (2000) Simulating dynamical features of escape panic. Nature 407: 487-490.
12. Helbing D, Szolnoki A, Perc M, Szabó G, (2010) Punish, but not too hard: How costly punishment spreads in the spatial public goods game. New J Phys 12: 083005.
13. Helbing D, Szolnoki A, Perc M, Szabó G, (2010) Defector accelerated cooperativeness and punishment in public goods games with mutations. Phys Rev E 81: 057104.
14. Szolnoki A, Szabó G, Perc M, (2011) Phase diagrams for the spatial public goods game with pool punishment. Phys Rev E 83: 036101.
15. Helbing D, Szolnoki A, Perc M, Szabó G, (2010) Evolutionary establishment of moral and double moral standards through spatial interactions. PLoS Comput Biol 6: e1000758.
16. Szolnoki A, Perc M, (2010) Reward and cooperation in the spatial public goods game. Europhys Lett 92: 38003.
17. Reynolds CW, (1987) Flocks, herds, and schools: A distributed behavioral model. Computer Graphics 21: 25-34.
18. Olfati-Saber R, Murray R, (2004) Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans Automat Contr 49: 1520-1533.
19. Gazi V, Passino KM, (2003) Stability analysis of swarms. IEEE Trans Automat Contr 48: 692-697.
20. Ren W, Beard RW, (2005) Consensus seeking in multiagents systems under dynamically changing interaction topologies. IEEE Trans Automat Contr 50: 655-661.
21. Couzin LD, Krause J, Franks NR, Levin SA, (2005) Effective leadership and decision-making in animal groups on the move. Nature 433: 513-516.
22. D'Orsogna MR, Chuang YL, Bertozzi AL, Chayes LS, (2006) Self-propelled particles with soft-core interactions: patterns, stability, and collapse. Phys Rev Lett 96: 104302.
23. Li W, Zhang HT, Chen MZQ, Zhou T, (2008) Singularities in homogeneous and its contribution to the large-scale emergence order. Phys Rev E 77: 021920.
24. Moreau L, (2005) Stability of multiagent systems with time-dependent communication links. IEEE Trans Automat Contr 50: 169-182.
25. Jadbabaie A, Lin J, Morse AS, (2003) Coordination of groups of mobile agents using nearest neighbor rules. IEEE Trans Automat Contr 48: 988-1101.
26. Zhang HT, Chen MZQ, Stan GB, Zhou T, Maciejowski JM, (2008) Collective behavior coordination with predictive mechanisms. IEEE Circuits and Systems Magazine 8: 67-85.
27. Peng L, Zhao Y, Tian B, Zhang J, Wang BH, Zhang HT, Zhou T, (2009) Consensus of self-driven agents with avoidance of collisions. Phys Rev E 79: 026113.
28. Breder CM, (1954) Equations descriptive of fish schools and other animal aggregations. Ecology 35: 361-370.
29. Warburton K, Lazarus J, (1991) Tendency-distance models of social cohesion in animal groups. J Theor Biol 150: 473-488.
30. Archer AJ, Wilding NB, (2007) Phase behavior of a fluid with competing attractive and repulsive interactions. Phys Rev E 76: 031501.
31. Lev BI, (1998) Exactly solvable three-dimensional lattice model with attractive and repulsive interactions. Phys Rev E 58: 2681-2684.
32. Melzer A, Schweigert VA, Piel A, (1999) Transition from attractive to repulsive forces between dust molecules in a plasma sheath. Phys Rev Lett 83: 3194-3197.
33. Schlottmann P, (1992) Integrable two-band model with attractive and repulsive interactions. Phys Rev Lett 68: 1916-1919.
34. Couzin ID, Krause J, James R, Ruxtonm GD, Franks NR, (2002) Collective memory and spatial sorting in animal groups. J Theor Biol 218: 1-11.
35. Tanner HG, Jadbabaie A, Pappas GJ, (2003) Stable flocking of mobile agents, part I: Fixed topology, in Proc IEEE Conf on Decision and Control 2: 2010-2015.
36. Olfati-Saber R, (2006) Flocking for multi-agent dynamic systems: algorithms and theory, IEEE Trans Automat Contr 51: 401-420.
37. Zhang HT, Chen MZQ, Zhou T, (2009) Predictive protocol of flocks with small-world connection pattern. Phys Rev E 79: 016113.
38. Zhang HT, Chen MZQ, Zhou T, Stan GB, (2008) Ultrafast consensus via predictive Mechanisms. Europhys Lett 83: 40003.
39. Zhang HT, Chen MZQ, Zhou T, (2009) Improve consensus via decentralized predictive mechanisms. Europhys Lett 86: 40011.
40. Liu X, Wang J, Huang L, (2007) Stabilization of a class of dynamical complex networks based on decentralized control. Physica A 383: 733-744.
41. Vicsek T, (2008) Universal patterns of collective motion from minimal models of flocking, in Proc. 2nd IEEE Int Conf on Self-Adaptive and Self-Organizing Systems 1: 3-11.
42. Juanico DEO, (2009) Self-organized pattern formation in a diverse attractive-repulsive swarm. Europhys Lett 86: 48004.
43. Jones JE, (1924) On the determination of molecular fields. I. From the variation of the viscosity of a gas with temperature. Proc Roy Soc A 106: 441-462.
44. Rigby M, Smith EB, Wakeham WA, Maitland GC, (1986) The Forces Between molecules. Oxford Oxford Science Publication.
45. Chuang YL, Orsogna MRD, Marthaler D, Bertozzi AL, Chayes LS, (2007) State transitions and the continuum limit for a 2D interacting, self-propelled particle system. Physica D 232: 33-47.