Bifurcations and patterns in compromise processes

Physica D: Nonlinear Phenomena

Volumn 183, Issue 3-4, 2003, Pages 190-204

  Ben Naim, E ^a   Krapivsky, P L ^b   Redner, S ^b  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b Boston University   (United States)

Author keywords

Bifurcations and patterns; Compromise process; Opinion dynamics model

Indexed keywords

BIFURCATION (MATHEMATICS); PERTURBATION TECHNIQUES;

COMPROMISE PROCESS;

DYNAMICS;

EID: 0041509263     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(03)00171-4     Document Type: Article

References (38)

1. W. Weidlich, Sociodynamics: A Systematic Approach to Mathematical Modelling in the Social Sciences, Harwood, New York, 2000.
2. T.M. Liggett, Interacting Particle Systems, Springer, New York, 1985.
3. T.M. Liggett, Stochastic Interacting Systems: Contact, Voter, and Exclusion Processes, Springer, New York, 1999.
4. Krapivsky P.L., Phys. Rev. A. 45:1992;1067.
5. Galam S., Physica A. 274:1999;132.
6. Sznajd-Weron K., Sznajd J., Int. J. Mod. Phys. C. 11:2000;1157.
7. Spirin V., Krapivsky P.L., Redner S., Phys. Rev. E. 63:2001;036118.
8. J. Holyst, K. Kacperski, F. Schweitzer, in: D. Stauffer (Ed.), Annual Reviews of Computational Physics IX, World Scientific, Singapore, 2001, pp. 253-273.
9. D. Stauffer, J. Artif. Soc. Soc. Simul. 5 (1) (2002).
10. S. Galam, cond-mat/0211571 .
11. D. Neau, unpublished.
12. G. Weisbuch, G. Deffuant, F. Amblard, J.P. Nadal, cond-mat/0111494 .
13. Föllmer H., J. Math. Econ. 1:1974;51; Kobayashi J., J. Math. Sociol. 24:2001;285 R. Hegselmann, U. Krause, J. Artif. Soc. Soc. Simul. 5 (3) (2002) and references therein.
14. Föllmer H., J. Math. Econ. 1:1974;51; Kobayashi J., J. Math. Sociol. 24:2001;285 R. Hegselmann, U. Krause, J. Artif. Soc. Soc. Simul. 5 (3) (2002) and references therein.
15. Föllmer H., J. Math. Econ. 1:1974;51; Kobayashi J., J. Math. Sociol. 24:2001;285 R. Hegselmann, U. Krause, J. Artif. Soc. Soc. Simul. 5 (3) (2002) and references therein.
16. Axelrod R., J. Conflict Resolut. 41:1997;203 R. Axelrod, The Complexity of Cooperation, Princeton University Press, Princeton, NJ, 1997.
17. Axelrod R., J. Conflict Resolut. 41:1997;203 R. Axelrod, The Complexity of Cooperation, Princeton University Press, Princeton, NJ, 1997.
18. Castellano C., Marsili M., Vespignani A., Phys. Rev. Lett. 85:2000;3536 D. Vilone, A. Vespignani, C. Castellano, Eur. Phys. J. B 30 (2002) 399.
19. Castellano C., Marsili M., Vespignani A., Phys. Rev. Lett. 85:2000;3536 D. Vilone, A. Vespignani, C. Castellano, Eur. Phys. J. B 30 (2002) 399.
20. Ben-Naim E., Krapivsky P.L., Phys. Rev. E. 61:2000;R5.
21. Baldassarri A., Marconi U.M.B., Puglisi A., Europhys. Lett. 58:2001;14.
22. P.A. Ferrari, L.R.G. Fontes, El. J. Prob. 3 (1998) 6.
23. Krug J., Garcia J., J. Stat. Phys. 99:2000;31.
24. Rajesh R., Majumdar S.N., J. Stat. Phys. 99:2000;943 Rajesh R., Majumdar S.N., Phys. Rev. E. 64:2001;036103.
25. Rajesh R., Majumdar S.N., J. Stat. Phys. 99:2000;943 Rajesh R., Majumdar S.N., Phys. Rev. E. 64:2001;036103.
26. Coppersmith S.N., Liu C.-h., Majumdar S.N., Narayan O., Witten T.A., Phys. Rev. E. 53:1996;4673.
27. Z.A. Melzak, Mathematical Ideas, Modeling and Applications, vol. II, Companion to Concrete Mathematics, Wiley, New York, 1976, p. 279.
28. Ispolatov S., Krapivsky P.L., Redner S., Eur. Phys. J. B. 2:1998;267.
29. J.M. Hammersley, in: Proceedings of the Sixth Berkley Symposium on Mathematics and Statistical Probability, vol. 1, University of California Press, 1972, pp. 345-394.
30. Aldous D., Diaconis P., Probab. Theor. Rel. Fields. 103:1995;199.
31. D. Zwillinger, Handbook of Differential Equations, Academic Press, London, 1989.
32. Feigenbaum M.J., J. Stat. Phys. 19:1978;25.
33. S.H. Strogatz, Nonlinear Dynamics and Chaos, Perseus, Cambridge, 1994.
34. Lorentz E.H., J. Atmos. Sci. 20:1963;130.
35. Novick-Cohen A., Segal L.A., Physica D. 10:1984;277.
36. Frachebourg L., Krapivsky P.L., Ben-Naim E., Phys. Rev. E. 54:1996;6186 Frachebourg L., Krapivsky P.L., J. Phys. A. 31:1998;L287.
37. Frachebourg L., Krapivsky P.L., Ben-Naim E., Phys. Rev. E. 54:1996;6186 Frachebourg L., Krapivsky P.L., J. Phys. A. 31:1998;L287.
38. F. Vazquez, P.L. Krapivsky, S. Redner, J. Phys. A 36 (2003) 61.