Table of Contents Author Guidelines Submit a Manuscript
Discrete Dynamics in Nature and Society
Volume 2014 (2014), Article ID 170968, 12 pages
http://dx.doi.org/10.1155/2014/170968
Research Article

Modeling and Simulation of Synchronous Threshold in Vent Collective Behavior

1School of Automation, Huazhong University of Science and Technology, Wuhan 430074, China
2Statistic College, Hubei University of Economics, Wuhan 430205, China

Received 10 January 2014; Revised 15 April 2014; Accepted 16 April 2014; Published 15 May 2014

Academic Editor: Manuel De la Sen

Copyright © 2014 Yaofeng Zhang and Renbin Xiao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. Arenas, A. Díaz-Guilera, J. Kurths, Y. Moreno, and C. Zhou, “Synchronization in complex networks,” Physics Reports, vol. 469, no. 3, pp. 93–153, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  2. N. E. Friedkin and E. C. Johnsen, “Social influence networks and opinion change,” Advances in Group Processes, vol. 16, no. 1, pp. 1–29, 2003. View at Publisher · View at Google Scholar · View at Scopus
  3. B. John and E. Buck, “Toward a functional interpretation of synchronous flashing by fireflies,” The American Naturalist, vol. 112, no. 985, pp. 471–492, 1978. View at Publisher · View at Google Scholar
  4. E. Sismondo, “Synchronous, alternating, and phase-locked stridulation by a tropical katydid,” Science, vol. 249, no. 4964, pp. 55–58, 1990. View at Google Scholar · View at Scopus
  5. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences, Cambridge University Press, 2001.
  6. D. Y. Li, K. Liu, Y. Sun, and M. C. Han, “Emergent computation: virtual reality from disordered clapping to ordered clapping,” Science in China F: Information Sciences, vol. 51, no. 5, pp. 449–459, 2008. View at Publisher · View at Google Scholar · View at Scopus
  7. Q. X. Zeng and W. Li, Group Events: Information Dissemination and Government Countermeasures, China Book Press, BeiJing, China, 2010, (Chinese).
  8. D. T. Campbell, “On the conflicts between biological and social evolution and between psychology and moral tradition,” American Psychologist, vol. 30, no. 12, pp. 1103–1126, 1975. View at Google Scholar · View at Scopus
  9. S. C. Wright, D. M. Taylor, and F. M. Moghaddam, “Responding to membership in a disadvantaged Group: from acceptance to collective protest,” Journal of Personality and Social Psychology, vol. 58, no. 6, pp. 994–1003, 1990. View at Google Scholar · View at Scopus
  10. J. Drury, C. Coucking, S. Reicher et al., “Cooperation versus competition in a mass emergency evacuation: a new laboratory simulation and a new theoretical model,” Psychonomic Society, vol. 41, no. 3, pp. 957–970, 2009. View at Publisher · View at Google Scholar · View at Scopus
  11. O. Alvarez-Llamoza, K. Tucci, M. G. Cosenza, and M. Pineda, “Random global coupling induces synchronization and nontrivial collective behavior in networks of chaotic maps,” European Physical Journal: Special Topics, vol. 143, no. 1, pp. 245–247, 2007. View at Publisher · View at Google Scholar · View at Scopus
  12. H. W. Yu and Y. F. Zheng, “Dynamic behavior of multi-agent systems with distributed sampled control,” Acta Automatica Sinica, vol. 38, no. 3, pp. 357–365, 2012 (Chinese). View at Publisher · View at Google Scholar · View at MathSciNet
  13. W. S. Yan, J. B. Li, and Y. T. Wang, “Consensus for damaged multi-agent systems,” Acta Automatica Sinica, vol. 38, no. 11, pp. 1880–1884, 2012 (Chinese). View at Google Scholar · View at MathSciNet
  14. J. G. Jiang, G. F. Zhang, N. Xia, and Z. P. Su, “Task oriented coalition formation strategy based on rational agents,” Acta Automatica Sinica, vol. 34, no. 4, pp. 478–481, 2008 (Chinese). View at Publisher · View at Google Scholar · View at Scopus
  15. T. Takahashi and H. Shiizuka, “Refuge behavior simulation by network model,” Memoirs of Kougakuin University, vol. 73, pp. 213–220, 1992. View at Google Scholar
  16. M. Le Bars, J. M. Attonaty, S. Pinson, and N. Ferrand, “An agent-based simulation testing the impact of water allocation on farmers' collective behaviors,” Simulation, vol. 81, no. 3, pp. 223–235, 2005. View at Publisher · View at Google Scholar · View at Scopus
  17. C.-Y. Huang, P.-J. Tzou, and C.-T. Sun, “Collective opinion and attitude dynamics dependency on informational and normative social influences,” Simulation, vol. 87, no. 10, pp. 875–892, 2011. View at Publisher · View at Google Scholar · View at Scopus
  18. L. P. Kadanoff, “More is the same; phase transitions and mean field theories,” Journal of Statistical Physics, vol. 137, no. 5-6, pp. 777–797, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  19. “Self-entrainment of a population of coupled non-linear oscillators,” in International Symposium on Mathematical Problems in Theoretical Physics, Y. Kuramoto and H. Arakai, Eds., vol. 39 of Lecture Notes in Physics, pp. 420–422, Springer, New York, NY, USA, 1975.
  20. J. A. Acebrón, L. L. Bonilla, C. J. P. Vicente, F. Ritort, and R. Spigler, “The Kuramoto model: a simple paradigm for synchronization phenomena,” Reviews of Modern Physics, vol. 77, no. 1, pp. 137–185, 2005. View at Publisher · View at Google Scholar · View at Scopus
  21. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence, Springer, Berlin, Germany, 1984. View at Publisher · View at Google Scholar · View at MathSciNet
  22. S. H. Strogatz, “From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators,” Physica D: Nonlinear Phenomena, vol. 143, no. 1–4, pp. 1–20, 2000. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  23. W. Jorgen, Evolutionary Game Theory, MIT Press, Cambridge, Mass, USA, 1995. View at MathSciNet
  24. N. Fridman and G. A. Kaminka, “Modeling pedestrian crowd behavior based on a cognitive model of social comparison theory,” Computational and Mathematical Organization Theory, vol. 16, no. 4, pp. 348–372, 2010. View at Publisher · View at Google Scholar · View at Scopus
  25. J. L. Rogers and L. T. Wille, “Phase transitions in nonlinear oscillator chains,” Physical Review E, vol. 54, no. 3, Article ID R2193, 1996. View at Google Scholar
  26. S. H. Strogatz and R. E. Mirollo, “Phase-locking and critical phenomena in lattices of coupled nonlinear oscillators with random intrinsic frequencies,” Physica D: Nonlinear Phenomena, vol. 31, no. 2, pp. 143–168, 1988. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  27. H. Daido, “Lower critical dimension for populations of oscillators with randomly distributed frequencies: a renormalization-group analysis,” Physical Review Letters, vol. 61, no. 2, pp. 231–234, 1988. View at Publisher · View at Google Scholar · View at Scopus