메뉴 건너뛰기




Volumn 149, Issue 1-2, 2001, Pages 11-29

Reversible Boolean networks I: Distribution of cycle lengths

Author keywords

05.40.+b; 05.45.+j; 64.60.Lx; Cellular automata; Gene regulatory networks; Random Boolean networks; Time reversible Boolean networks

Indexed keywords

APPROXIMATION THEORY; BOOLEAN ALGEBRA; MATHEMATICAL MODELS; QUENCHING; RANDOM PROCESSES; STATE SPACE METHODS;

EID: 0035254814     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(00)00198-6     Document Type: Article
Times cited : (20)

References (25)
  • 2
    • 0040970882 scopus 로고
    • Dynamics of automata, spin glasses and neural networks
    • Sicily
    • B. Derrida, Dynamics of automata, spin glasses and neural networks, Notes for School at Nota, Sicily, 1987.
    • (1987) Notes for School at Nota
    • Derrida, B.1
  • 4
    • 0020495096 scopus 로고
    • Emergent properties in random complex automata
    • Kauffman S. Emergent properties in random complex automata. Physica D. 10(1-2):1984;145-156.
    • (1984) Physica D , vol.10 , Issue.12 , pp. 145-156
    • Kauffman, S.1
  • 6
    • 0000264002 scopus 로고
    • Exact solution of Kauffman's model with connectivity one
    • Flyvbjerg H., Kjær N.J. Exact solution of Kauffman's model with connectivity one. J. Phys. A. 21(7):1988;1695-1718.
    • (1988) J. Phys. a , vol.21 , Issue.7 , pp. 1695-1718
    • Flyvbjerg, H.1    Kjær, N.J.2
  • 7
    • 0001866395 scopus 로고    scopus 로고
    • Closing probabilities in the Kauffman model: An annealed computation
    • Bastolla U., Parisi G. Closing probabilities in the Kauffman model: an annealed computation. Physica D. 98(1):1996;1-25.
    • (1996) Physica D , vol.98 , Issue.1 , pp. 1-25
    • Bastolla, U.1    Parisi, G.2
  • 8
    • 22244483129 scopus 로고    scopus 로고
    • Relevant elements, magnetization and dynamical properties in Kauffman networks: A numerical study
    • Bastolla U., Parisi G. Relevant elements, magnetization and dynamical properties in Kauffman networks: a numerical study. Physica D. 115(3-4):1998;203-218.
    • (1998) Physica D , vol.115 , Issue.34 , pp. 203-218
    • Bastolla, U.1    Parisi, G.2
  • 9
    • 0000676885 scopus 로고    scopus 로고
    • The modular structure of Kauffman networks
    • Bastolla U., Parisi G. The modular structure of Kauffman networks. Physica D. 115(3-4):1998;219-233.
    • (1998) Physica D , vol.115 , Issue.34 , pp. 219-233
    • Bastolla, U.1    Parisi, G.2
  • 10
    • 0000629105 scopus 로고    scopus 로고
    • Power-law distributions in some random Boolean networks
    • Bhattacharjya A., Liang S.D. Power-law distributions in some random Boolean networks. Phys. Rev. Lett. 77(8):1996;1644-1647.
    • (1996) Phys. Rev. Lett. , vol.77 , Issue.8 , pp. 1644-1647
    • Bhattacharjya, A.1    Liang, S.D.2
  • 11
    • 0032520557 scopus 로고    scopus 로고
    • Ordered and disordered dynamics in random networks
    • Glass L., Hill C. Ordered and disordered dynamics in random networks. Europhys. Lett. 41(6):1998;599-604.
    • (1998) Europhys. Lett. , vol.41 , Issue.6 , pp. 599-604
    • Glass, L.1    Hill, C.2
  • 13
    • 84956278072 scopus 로고
    • Phase-transitions in two-dimensional Kauffman cellular automata
    • Derrida B., Stauffer D. Phase-transitions in two-dimensional Kauffman cellular automata. Europhys. Lett. 2(10):1986;739-745.
    • (1986) Europhys. Lett. , vol.2 , Issue.10 , pp. 739-745
    • Derrida, B.1    Stauffer, D.2
  • 15
    • 0040376587 scopus 로고    scopus 로고
    • Ph.D. Thesis, Massachusetts Institute of Technology, Massachusetts, (Chapter 8)
    • R.M. D'Souza, Ph.D. Thesis, Massachusetts Institute of Technology, Massachusetts, 1999 (Chapter 8).
    • (1999)
    • D'Souza, R.M.1
  • 16
    • 0001566941 scopus 로고
    • Invertible cellular automata: A review
    • Toffoli T., Margolus N.H. Invertible cellular automata: a review. Physica D. 45:1990;229-253.
    • (1990) Physica D , vol.45 , pp. 229-253
    • Toffoli, T.1    Margolus, N.H.2
  • 17
    • 0004223966 scopus 로고
    • American Mathematical Society, Providence, RI
    • G.D. Birkhoff, Dynamical Systems, American Mathematical Society, Providence, RI, 1927.
    • (1927) Dynamical Systems
    • Birkhoff, G.D.1
  • 20
    • 36149035332 scopus 로고
    • Multivalley structure in Kauffman model - Analogy with spin-glasses
    • Derrida B., Flyvbjerg H. Multivalley structure in Kauffman model - analogy with spin-glasses. J. Phys. A. 19(16):1986;1003-1008.
    • (1986) J. Phys. a , vol.19 , Issue.16 , pp. 1003-1008
    • Derrida, B.1    Flyvbjerg, H.2
  • 21
    • 0023558499 scopus 로고
    • Valleys and overlaps in Kauffman's model
    • Derrida B. Valleys and overlaps in Kauffman's model. Phil. Mag. 56(6):1987;917-923.
    • (1987) Phil. Mag. , vol.56 , Issue.6 , pp. 917-923
    • Derrida, B.1
  • 22
    • 0032851841 scopus 로고    scopus 로고
    • Emergence of homeostasis and noise imprinting in an evolution model
    • Stern M.D. Emergence of homeostasis and noise imprinting in an evolution model. Proc. Natl. Acad. Sci. USA. 96(19):1999;10746-10751.
    • (1999) Proc. Natl. Acad. Sci. USA , vol.96 , Issue.19 , pp. 10746-10751
    • Stern, M.D.1
  • 23
    • 0002891702 scopus 로고    scopus 로고
    • Phase transitions in random networks: Simple analytic determination of critical points
    • Luque B., Sole R.V. Phase transitions in random networks: simple analytic determination of critical points. Phys. Rev. E, Part A. 55(1):1997;257-260.
    • (1997) Phys. Rev. E, Part a , vol.55 , Issue.1 , pp. 257-260
    • Luque, B.1    Sole, R.V.2
  • 24
    • 0001612436 scopus 로고    scopus 로고
    • Thermodynamically reversible generalization of diffusion limited aggregation
    • D'Souza R.M., Margolus N.H. Thermodynamically reversible generalization of diffusion limited aggregation. Phys. Rev. E. 60(1):1999;264-274.
    • (1999) Phys. Rev. e , vol.60 , Issue.1 , pp. 264-274
    • D'Souza, R.M.1    Margolus, N.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.