Number and length of attractors in a critical Kauffman model with connectivity one

Physical Review Letters

Volumn 94, Issue 8, 2005, Pages

  Drossel, Barbara ^a   Mihaljev, Tamara ^a   Greil, Florian ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ATTRACTORS; BOOLEAN NETWORKS; CRITICAL KAUFFMAN MODEL; NODES;

DYNAMICS; MATHEMATICAL MODELS; NEURAL NETWORKS; NUMBER THEORY; PROBABILITY; PROBLEM SOLVING; RANDOM PROCESSES;

BOOLEAN FUNCTIONS;

ECONOMICS; NERVE CELL NETWORK; NONLINEAR SYSTEM; SOCIAL SUPPORT; THEORETICAL MODEL;

ECONOMICS; MODELS, THEORETICAL; NERVE NET; NONLINEAR DYNAMICS; SOCIAL SUPPORT;

EID: 18144407620     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.94.088701     Document Type: Article

References (16)

1. S. Kauffman, C. Peterson, B. Samuelsson, and C. Troein, Proc. Natl. Acad. Sci. U.S.A. 100, 14796 (2003).
2. S. A. Kauffman, J. Theor. Biol. 22, 437 (1969).
3. B. Derrida and Y. Pomeau, Europhys. Lett. 1, 45 (1986).
4. B. Derrida and D. Stauffer, Europhys. Lett. 2, 739 (1986).
5. M. Aldana-Gonzalez, S. Coppersmith, and L. P. Kadanoff, in Perspectives and Problems in Nonlinear Science (Springer, New York, 2003) pp. 23-89.
6. S. Bilke and F. Sjunnesson, Phys. Rev. E 65, 016129 (2002).
7. J. E. S. Socolar and S. A. Kauffman, Phys. Rev. Lett. 90, 068702 (2003).
8. U. Bastolla and G. Parisi, Physica (Amsterdam) 115D, 203 (1998).
9. U. Bastolla and G. Parisi, Physica (Amsterdam) 115D, 219 (1998).
10. B. Samuelsson and C. Troein, Phys. Rev. Lett. 90, 098701 (2003).
11. A. Bhattacharjya and S. Liang, Phys. Rev. Lett. 77, 1644 (1996).
12. H. Flyvbjerg and N. J. Kjær, J. Phys. A 21, 1695 (1988).
13. G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers (Oxford Press, New York, 1980), 5th ed.
14. K. Klemm and S. Bornholdt, q-bio/0409022.
15. K. Klemm and S. Bornholdt, cond-mat/0411102.
16. F. Greil and B. Drossel, cond-mat/0501081.