Flexibility at the edge of chaos: A clear example from foraging in ants

Acta Biotheoretica

Volumn 45, Issue 1, 1997, Pages 29-50

  Bonabeau, Eric ^a  

^a ORANGE LABS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ANT; CHAOS; FORAGING;

FORMICIDAE; HYMENOPTERA; TETRAMORIUM CAESPITUM;

EID: 0030609652     PISSN: 00015342     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1000259222500     Document Type: Article

References (69)

1. Adler, F.R. & D.M. Gordon (1992). Information collection and spread by networks of patrolling ants. Am. Nat. 140: 373.
2. Bak, P., C. Tang and K. Wiesenfeld (1988). Self-organized criticality. Phys. Rev. A 38: 364-374.
3. Bak, P. and K. Sneppen (1993). Punctuated equilibrium and criticality in a simple model of evolution. Phys. Rev. Lett. 71: 4083.
4. Beckers, R., J.-L. Deneubourg and J.-M. Pasteels (1989a). Le recrutement de masse : un exemple de communication trop efficace ? Actes Coll. Ins. Soc. 4: 219-226.
5. Beckers, R., S. Goss, J.-L. Deneubourg and J.-M. Pasteels (1989b). Colony size, communication and ant foraging strategy. Psyche 96: 239-256.
6. Beckers, R., J.-L. Deneubourg, S. Goss and J.-M. Pasteels (1990). Collective decision making through food recruitment. Ins. Soc. 37: 258.
7. Berrldge, M. J. and P.E. Rapp (1979). A comparative study of the function, mechanisation, and control of cellular oscillators. J. exp. Biol. 81: 217-279.
8. Biseau, J.-C. de, J.-L. Deneubourg and J.-M. Pasteels (1991). Collective flexibility during mass recruitment in the ant Myrmica sabuleti (hymenoptera: formicidae). Psyche 98: 323-336.
9. Bonabeau, E. (1994). Self-reorganizations in a simple model of the immune system. Physica A 208: 336.
10. Bonabcau, E. and G. Theraulaz, eds. (1994). Intelligence Collective. Paris, Hermès,
11. Calabi, P., J.F.A. Traniello and M.H. Werner (1983). Age polyethism: its occurrence in the ant Pheidole hortensis, and some general considerations. Psyche 90: 395-412,
12. Cammaerts, M.-C. (1977). Recruitment to food in Myrmica rubra L. Proceedings of the 8th International Congress of the International Union for the Study of Social Insects (Wageningen), 294.
13. Cammaerts, M.-C. and R. Cammaerts (1980). Food recruitment strategies of the ants Myrmica sabuleti and Myrmica ruginodis. Behav. Proc. 5: 251-270.
14. Chau, H.F., L. Mak and P.K. Kwok (1995). Self-organized critical model of biological evolution. Physica A 215: 431.
15. Cole, B.J. (1991a). Short-term activity cycles in ants: generation of periodicity by worker interaction. Am. Nat. 137: 244.
16. Cole, B.J. (1991b). Short-term activity cycles in ants: A phase-response curve and phase resetting in worker activity. J. Ins. Behav. 4: 129.
17. Cole, B.J. (1991c). Is animal behaviour chaotic? Evidence from the activity of ants. Proc. R. Soc. Lond. B 244: 253.
18. Crutchfield, J.P. and K. Young (1989), Computation at the onset of chaos. Phys. Rev. Lett. 63: 105-108.
19. Deneubourg, J.-L., J.M. Pasteels and J.-C. Verhaeghe (1983). Probabilistic behavior in ants: A strategy of errors ? J. theor. Biol. 105: 259.
20. Deneubourg, J.-L., S. Aron, S. Goss, J.M. Pasteels and G. Duerinck (1987a). Random behaviour, amplification processes and number of participants: how they contribute to the foraging properties of ants. Physica D 22: 176-186.
21. Deneubourg, J.-L., S. Aron, S. Goss, and J.M. Pasteels (1987b). Error, communication and learning in ant societies. Europ. J. of Operational Research 30; 168-172.
22. Deneubourg, J.-L. and S. Goss (1989). Collective patterns and decision making. Ethol, Ecol. & Evol. 1: 295-311.
23. Edelstein-Keshet, L. (1994). Simple models for trail-following behaviour. Trunk trails versus individual foragers. J. Math. Biol, 32: 303-328.
24. Edelstein-Keshet, L., J. Watmough and G.B, Ermentrout (1995). Trail following in ants: individual properties determine population behaviour. Behav. Ecol. Sociobiol. 36: 119-133.
25. Farmer, J.D., N.H. Packard and A.S. Perelson (1986). The immune system, adaptation, and machine learning. Physica D 22: 187-204.
26. Flyvbjerg, H., K. Sneppcn and P. Bak (1993). Mean-field theory for a simple model of evolution. Phys. Rev. Lett. 71: 4087.
27. Forni, L., A. Coutinho, G. Köhler and N.K. Jerne (1980). Proc. Natl. Acad. Sci. USA 77: 63-87.
28. Franks, N.R., S. Bryant, R. Griffiths and L. Hemerik (1990). Synchronization of the behaviour within nests of the ant Leptothorax acervorum (Fabricius) - I. Discovering the phenomenon and its relation to the level of starvation. Bull. Math. Biol. 52: 597-612.
29. Frehland, E., B. Kleutsch and H. Markl, H. (1985). Modelling a two-dimensional alarm process. BioSystems 18: 197.
30. Goodwin, D. (1994). How the Leopard Changed its Spots. The Evolution of Complexity. New York, Charles Scribner's Sons.
31. Gordon, D.M., R.E. Paul and K. Thorpe (1993). What is the function of encounter patterns in ant colonies? Anim. Behav. 45: 1083.
32. Goss, S. and J.-L. Deneubourg (1988), Autocatalysis as a source of synchronized rythmical activity in social insects. Ins. Soc. 35: 310-315.
33. Haken, H. (1983). Synergetics. Berlin, Springer Verlag.
34. Hangartner, W. (1969). Trail laying in the subteirancan ant, Acanthomyops interjectus. J. Ins. Physiol. 15: 1-4.
35. Hemerik, L., N.F. Britton and N.R. Franks (1990). Synchronization of the behaviour within nests of the ant Leptothorax acervorum (Fabricius) - II. Modelling the phenomenon and predictions from the model. Bull. Math. Biol, 52: 613-628.
36. Hohenberg, P.C. and B.I. Halperin (1977). Theory of dynamic critical phenomena. Rev. Mod. Phys. 49: 435-479.
37. Horsthemke, W. and R. Lefever (1984). Noise-Induced Transitions. Berlin: Springer-Verlag.
38. Huberman, B. & Hogg, T. (1986). Complexity and adaptation. Physica D 22: 376-384.
39. Kaneko, K. and T. Ikegami (1992). Homeochaos: dynamic stability of a symbiotic network with population dynamics and evolving mutation rates. Physica D 56: 406-429.
40. Kauffman, S.A. and S.J. Johnsen (1991). Coevolution at the edge of chaos: coupled fitness landscapes, poised states, and co-evolutionary avalanches. J. theor. Biol. 149: 467.
41. Kauffman, S.A. (1993). The Origins of Order. New York, Oxford University Press.
42. Kortmulder, K. (1986). The congener: a neglected area in the study of behaviour. Acta Biotheoretica 35: 39-67.
43. Kortmulder, K. and E. Feuth-de Bruijn (1993). On some generative orders of behaviour. Acta Biothcorctica 41: 329-344.
44. Langton, C. (1990). Computation at the edge of chaos. Physica D 42: 5.
45. Langton, C. (1991). Computation at the edge of chaos: phase transitions and emergent computation. PhD Dissertation, University of Michigan, 1991.
46. Lekkerkerker, H.N.W. and J.-P, Boon (1976). Brownian motion near hydrodynamic regime transition. Phys. Rev. Lett. 36: 724-725.
47. Lundqvist, I., A. Coutinho, F.J. Varela and D. Holmberg (1989). Evidence for a functional idiotypic network amongst natural antibodies in normal mice. Proc. Natl. Acad. Sci. USA 86: 5074-5078.
48. Manneville, P. (1986). In: C. Godrèche, ed., Structures et Instabilités. Paris, Les éditions de physique.
49. Millonas, M. (1992). A connectionist type model of self-organized foraging and emergent behavior in ant swarms. J. theor. Biol. 159: 529-552.
50. Miramontes, O., R. V. Solé and B.C. Goodwin (1993). Collective behaviour of random-activated mobile cellular automata. Physica D 63: 145.
51. Mitchell, M., P.T. Hraber and J.P. Crutchfield (1993). Revisiting the edge of chaos: Evolving cellular automata to perform computations. Complex Systems 7: 89.
52. Murray, J.D. (1993). Mathematical Biology. 2nd edition. Berlin, Springer-Verlag.
53. Nicolis, G. and I. Prigogine (1989). Exploring Complexity: An Introduction. Munich, Piper Verlag.
54. Oster, G.F. and E.O. Wilson (1978). Caste and Ecology in the Social Insects. Princeton, Princeton Univ. Press.
55. Packard, N.H. (1988). Adaptation to the edge of chaos. In: J.A. Kelso, A.J. Mandell & M.F. Schlesinger, eds., Dynamic Patterns in Complex Systems, 293-301. Singapore, World Scientific.
56. Pasteels, J.M., J.-L. Deneubourg and S. Goss (1987a). Transmission and amplification of information in a changing environment: the case of insect societies. In: I. Prigogine & M. Sanglier eds., Law of Nature and Human Conduct. Brussels, Cordes.
57. Pastcels, J.M., J.-L. Deneubourg and S. Goss (1987b). Self-organization meclianisins in ant societies (I): Trail recruitment to newly discovered food sources. Experientia Suppl. 54: 155-175.
58. Ray, T.S. and N. Jan (1994). Anomalous approach to the self-organized critical state in a model for life at the edge of chaos. Phys. Rev. Lett. 72: 4045.
59. Reichl, L.E. (1980). A Modern Course in Statistical Physics. Austin, University of Texas Press.
60. Solé, R.V., D. Lopez, M. Ginovart and J. Valls (1992). Self-organized criticality in Monte Carlo simulated ecosystems. Phys. Lett A 172: 156-161.
61. Solé, R.V. and S.C. Manrubia (1995a). Are Rainforests Self-organized in a Critical State? J. theor. Biol. 173: 31-40.
62. Solé, R.V. and S.C. Manrubia (1995b). Self-similarity in rain forests: Evidence for a critical state. Phys. Rev. E 51: 6250-6253.
63. Solé, R.V. and O. Miramontes (1995). Information at the edge of chaos in fluid neural networks. Physica D 80: 171-180,
64. Sornette, D. (1992). Critical phase transitions made self-organized: a dynamical system feedback mechanism for self-organized criticality. J. Physique I (France) 2: 2065.
65. Theraulaz, G., E, Bonabeau, J.-L. Deneubourg and S. Goss (1994). L'intelligence collective, Pour la Science 198: 90-95.
66. Varela, F.J. and A. Coutinho (1991). Second generation immune networks. Immunology Today 12: 159-166.
67. Vastano, J.A. and H.L. Swinney (1988). Information transport in spatiotemporal systems. Phys. Rev. Lett. 60: 1773.
68. Verhaeghe, J.-C. (1982). Food recruitment in Tetramorium impurum (Hymenoptera: Formicidae). Ins. Soc. 29: 67-85.
69. Verhaeghe, J.-C. and J.-L. Deneubourg (1983). Experimental study and modelling of food recruitment in the ant Tetramorium impurum (Hym. Form). Ins. Soc. 30: 347-360.