Extracting Interactive Control Algorithms from Group Dynamics of Schooling Fish

Lecture Notes in Control and Information Sciences

Volumn 309, Issue , 2005, Pages 103-117

  Grünbaum, Daniel ^a   Viscido, Steven ^a   Parrish, Julia K ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BEHAVIORAL MECHANISMS; BIOLOGICALLY INSPIRED; COLLECTIVE MOTIONS; ECOLOGICAL DYNAMICS; ENGINEERING PERSPECTIVE; GROUPING BEHAVIORS; INTERACTIVE CONTROL; ORGANIZATIONAL LEVELS;

ALGORITHMS; ANIMALS; BIOMIMETIC PROCESSES; PSYCHOPHYSIOLOGY;

FISH;

EID: 84880005250     PISSN: 01708643     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Article

References (21)

1. Alt, W. 1980. Biased random walk models for chemotaxis and related diffusion approximations. J. Math. Biol 9:147-177.
2. Camazine, S., Deneubourg, J.-L., Franks, N. R., Sneyd, J., Ther-AULAZ, G., AND Bonabeau, E. 2001. Self-Organization in Biological Systems. Princeton University Press, Princeton, NJ.
3. Couzin, I. D., Krause, J., James, R., Ruxton, G. D., and Franks, N. R. 2002. Collective memory and spatial sorting in animal groups. J. theor. Biol. 218:1-11.
4. Flierl, G., Grünbaum, D., Levin, S. A., and Olson, D. 1999. From individuals to aggregations: the interplay between behavior and physics. J. theor. Biol. 196:397-454.
5. Grünbaum, D. 1994. Translating stochastic density-dependent individual behavior to a continuum model of animal swarming. J. Math. Biol 33:139161.
6. Grünbaum, D. 1998a. Advection-diffusion equations for generalized tactic searching behaviors. J. Math. Biol 38:169-194.
7. Grünbaum, D. 1998b. Schooling as a strategy for taxis in a noisy environment. Evol. Ecol. 12(5):503-522.
8. Grünbaum, D. 2000. Advection-diffusion equations for internal state-mediated random walks. S.I.A.M. J. Appl. Math. 61:43-73.
9. Hooimeijer, M. 2000. Reduction of Complex Computational Models. PhD thesis, Delft University of Technology.
10. Huth, A. AND Wissel, C. 1992. The simulation of the movement of fish schools. J. theor. Biol. 156:365-385.
11. Okubo, A. 1986. Dynamical aspects of animal grouping: swarms, schools, flocks and herd. Adv. Biophys. 22:1-94.
12. Othmer, H. G., Dunbar, S. R., and Alt, W. 1988. Models of dispersal in biological systems. J. Math. Biol 26:263-298.
13. Papoulis, A. 1984. Probability, Random Variables, and Stochastic Processes. McGraw-Hill.
14. Parrish, J. K. and Hamner, W. M. 1997. Animal groups in three dimensions. Cambridge University Press, Cambridge CB2 2RU, United Kingdom.
15. Parrish, J. K. and Turchin, P. 1997. Individual decisions, traffic rules, and emergent pattern in schooling fish, pp. 126-142. In J. K. Parrish and W. M. Hamner (eds.), Animal groups in three dimensions. Cambridge University Press, Cambridge CB2 2RU, United Kingdom.
16. Parrish, J., Viscido, S., and Grünbaum, D. 2002. Self-organized fish schools: An examination of emergent properties. Biol. Bull. 202:296-305.
17. Parrish, J. K. and Viscido, S. V. 2003. Traffic rules of fish schools: A review of agent-based approaches. In C. Hemelrijk (ed.), Self-organisation and evolution of social systems. Cambridge University Press, Cambridge CB2 2RU, United Kingdom.
18. Partridge, B. L., Pitcher, T. J., Cullen, J. M., and Wilson, J. 1980. The three-dimensional structure of fish schools. Behav. Ecol. Sociobiol. 6:277-288.
19. Romey, W. L. 1992. Individual differences make a difference in the trajectories of simulated schools of fish. Ecol. Model. 92:65-77.
20. Viscido, S., Parrish, J. K., and Grünbaum, D. 2004. Individual behavior and emergent properties of fish schools: a comparison between observation and theory (in review). Mar. Ecol. Prog. Ser.
21. Warburton, K. and Lazarus, J. 1991. Tendency-distance models of social cohesion in animal groups. J. theor. Biol. 150:473-488.