Crashes, recoveries, and “core shifts” in a model of evolving networks

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 65, Issue 2, 2002, Pages

  Jain, Sanjay ^a,b,c   Krishna, Sandeep ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

^b SANTA FE INSTITUTE   (United States)

^c JAWAHARLAL NEHRU CENTRE FOR ADVANCED SCIENTIFIC RESEARCH   (India)

Author keywords

[No Author keywords available]

Indexed keywords

BIOLOGICAL EVOLUTION; DYNAMIC VARIABLES; MOLECULAR SPECIES; SOCIAL EVOLUTION;

EIGENVALUES AND EIGENFUNCTIONS; GRAPH THEORY; MATHEMATICAL MODELS; NUMBER THEORY; PROBABILITY; STATISTICAL METHODS; STRUCTURAL ANALYSIS;

MOLECULAR DYNAMICS;

EID: 41349106938     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.026103     Document Type: Article

References (24)

1. M. E. J. Newman and R. G. Palmer, e-print www.arXiv.org/abs/adap-org/9908002
2. B. Drossel, e-print www.arXiv.org/abs/cond-mat/0101409
3. R. N. Mantegna and H. E. Stanley, An Introduction to Econophysics: Correlations and Complexity in Finance (Cambridge University Press, Cambridge, 1999).
4. J.-P. Bouchaud, e-print www.arXiv.org/abs/cond-mat/0008103
5. A. Johansen and D. Sornette, e-print www.arXiv.org/abs/cond-mat/0010050
6. S. Jain and S. Krishna, Phys. Rev. Lett. 81, 5684 (1998).
7. R. J. Bagley, J. D. Farmer, and W. Fontana, in Artificial Life II, edited by C. G. Langton, C. Taylor, J. D. Farmer, and S. Rasmussen (Addison Wesley, Redwood City, CA 1991), p. 141.
8. S. A. Kauffman, The Origins of Order (Oxford University Press, New York, 1993).
9. W. Fontana and L. Buss, Bull. Math. Biol. 56, 1 (1994).
10. S. Jain and S. Krishna, Comput. Phys. Commun. 121-122, 116 (1999).
11. P. Bak and K. Sneppen, Phys. Rev. Lett. 71, 4083 (1993).
12. S. Jain and S. Krishna, Proc. Natl. Acad. Sci. U.S.A. 98, 543 (2001).
13. A similar phenomenon for earthquake models, albeit with a different mechanism, is observed in J. M. Carlson and J. S. Langer, Phys. Rev. A 40, 6470 (1989).
14. M. Eigen, Naturwissenschaften 58, 465 (1971).
15. S. A. Kauffman, J. Cybernetics 1, 71 (1971).
16. O. E. Rossler, Z. Naturforsch. B 26, 741 (1971).
17. L. Laloux, P. Cizeau, J.-P. Bouchaud, and M. Potters, Phys. Rev. Lett. 83, 1467 (1999).
18. V. Plerou, P. Gopikrishnan, B. Rosenow, L. A. N. Amaral, and H. E. Stanley, Phys. Rev. Lett. 83, 1471 (1999).
19. I. J. Farkas, I. Derenyi, A.-L. Barabasi, and T. Vicsek, Phys. Rev. E 64, 026704 (2001).
20. K.-I. Goh, B. Kahng, and D. Kim, Phys. Rev. E 64, 051903 (2001);
21. K.-I. GohB. KahngD. Kime-print www.arXiv.org/abs/cond-mat/0103337
22. For a more detailed mechanism and classification of core shifts, see S. Jain and S. Krishna, e-print www.arXiv.org/abs/nlin.AO/0107038
23. M. D. Cohen, R. L. Riolo and R. Axelrod, e-print www.santafe.edu/sfi/publications/Abstracts/99-01-002abs.
24. J. M. Carlson and J. Doyle, Phys. Rev. E 60, 1412 (1999).