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Volumn 4, Issue 1, 2009, Pages 21-38

Asynchronism induces second-order phase transitions in elementary cellular automata

Author keywords

Asynchronous cellular automata; Directed percolation; Discrete dynamical systems; Parity conservation; Phase transitions; Power laws; Stochastic process; Universality class

Indexed keywords


EID: 70450167356     PISSN: 15575969     EISSN: 15575977     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (30)

References (32)
  • 1
    • 0010172012 scopus 로고
    • Des rythmes au chaos
    • Odile Jacob
    • Bergé P., Pomeau Y. and Dubois M. Des rythmes au chaos. Odile Jacob, 1994.
    • (1994)
    • Bergé, P.1    Pomeau, Y.2    Dubois, M.3
  • 2
    • 85037255890 scopus 로고    scopus 로고
    • Nonequilibrium phase transition in a self-activated biological network
    • Berry H. Nonequilibrium phase transition in a self-activated biological network. Physical Review E 67 (2003), 031907.
    • (2003) Physical Review E , vol.67 , pp. 031907
    • Berry, H.1
  • 4
    • 0009542566 scopus 로고    scopus 로고
    • Synchronous versus asynchronous updating in the "game of life"
    • Blok H. J. and Bergersen B. Synchronous versus asynchronous updating in the "game of life". Physical Review E 59 (1999), 3876-9.
    • (1999) Physical Review E , vol.59 , pp. 3876-3879
    • Blok, H.J.1    Bergersen, B.2
  • 5
    • 84975960846 scopus 로고
    • Percolation processes I. Crystals and mazes
    • Broadbent S.R.and Hammersley J.M Percolation processes I. Crystals and mazes.Proceedings of the Cambridge Philosophical Society 53(3) (1957), 629-641.
    • (1957) Proceedings of The Cambridge Philosophical Society , vol.53 , Issue.3 , pp. 629-641
  • 6
    • 77952557846 scopus 로고    scopus 로고
    • Structure in asynchronous cellular automata
    • Buvel R. L. and Ingerson T. E. Structure in asynchronous cellular automata. Physica D 1
    • Physica D , pp. 1
    • Buvel, R.L.1    Ingerson, T.E.2
  • 7
    • 45449123010 scopus 로고
    • Spatio-temporal intermittency in coupled map lattices
    • Chaté H. and Manneville P. Spatio-temporal intermittency in coupled map lattices. Physica D, 32 (1988), 409-422.
    • (1988) Physica D , vol.32 , pp. 409-422
    • Chaté, H.1    Manneville, P.2
  • 8
    • 0000709386 scopus 로고
    • Equivalence of cellular automata to Ising models and directed percolation
    • Domany E. and Kinzel W. Equivalence of cellular automata to Ising models and directed percolation. Physical Review Letters 53 (1984), 311-314.
    • (1984) Physical Review Letters , vol.53 , pp. 311-314
    • Domany, E.1    Kinzel, W.2
  • 10
    • 34547130685 scopus 로고    scopus 로고
    • Robustesse de la dynamique des systèmes discrets: Le cas de l'asynchronisme dans les automates cellulaires
    • Fatès N. Robustesse de la dynamique des systèmes discrets: le cas de l'asynchronisme dans les automates cellulaires. PhD thesis, École normale supérieure de Lyon, 2004.
    • (2004) PhD Thesis, École Normale Supérieure De Lyon
    • Fatès, N.1
  • 12
    • 33746653497 scopus 로고    scopus 로고
    • An experimental study of robustness to asynchronism for elementary cellular automata
    • Fatès N. and Morvan M. An experimental study of robustness to asynchronism for elementary cellular automata. Complex Systems 16 (2005), 1-27.
    • (2005) Complex Systems , vol.13 , pp. 1-27
    • Fatès, N.1    Morvan, M.2
  • 13
    • 33748576886 scopus 로고    scopus 로고
    • Fully asynchronous behavior of double-quiescent elementary cellular automata
    • Fatès N., Morvan M., Schabanel N. and Thierry E. Fully asynchronous behavior of double-quiescent elementary cellular automata. Theoretical Computer Science 362 (2006), 1-16.
    • (2006) Theoretical Computer Science , vol.362 , pp. 1-16
    • Fatès, N.1    Morvan, M.2    Schabanel, N.3    Thierry, E.4
  • 16
    • 0001138438 scopus 로고    scopus 로고
    • Synchronization of coupled systems with spatiotemporal chaos
    • Grassberger P. Synchronization of coupled systems with spatiotemporal chaos. Physical Review E 59(3) (1999), R2520.
    • (1999) Physical Review E , vol.59 , Issue.3
    • Grassberger, P.1
  • 17
    • 0034334818 scopus 로고    scopus 로고
    • Nonequilibrium critical phenomena and phase transitions into absorbing states
    • Hinrichsen H. Nonequilibrium critical phenomena and phase transitions into absorbing states. Advances in Physics 49 (2000), 815-958.
    • (2000) Advances In Physics , vol.49 , pp. 815-958
    • Hinrichsen, H.1
  • 18
    • 0002391651 scopus 로고
    • Universality class of a one-dimensional cellular automaton
    • Jensen I. Universality class of a one-dimensional cellular automaton. Physical Review A 43(6) (1991),3187-3189.
    • (1991) Physical Review A , vol.43 , Issue.6 , pp. 3187-3189
    • Jensen, I.1
  • 19
    • 11544348027 scopus 로고
    • Critical exponents for branching annihilating random walks with an even number of offspring
    • Jensen I. Critical exponents for branching annihilating random walks with an even number of offspring. Pysical Review E 50(55) (1994), 3623.
    • (1994) Pysical Review E , vol.50 , Issue.55 , pp. 3623
    • Jensen, I.1
  • 20
    • 0000681861 scopus 로고
    • Directed percolation
    • In R. Zallen G. Deutscher and J. Adler, Adam Hilger Pub. Co., Bristol
    • Kinzel W. Directed percolation. In R. Zallen G. Deutscher and J. Adler (eds), Percolation Structures and Processes, Adam Hilger Pub. Co., Bristol, p. 425, 1983.
    • (1983) Percolation Structures and Processes , pp. 425
    • Kinzel, W.1
  • 22
    • 14844354256 scopus 로고    scopus 로고
    • Universal scaling behavior of non-equilibrium phase transitions
    • Lübeck S. Universal scaling behavior of non-equilibrium phase transitions. International Journal of Modern Physics B 18(31-32) (2004), 3977-4118.
    • (2004) International Journal of Modern Physics B , vol.18 , Issue.31-32 , pp. 3977-4118
    • Lübeck, S.1
  • 23
    • 77952516337 scopus 로고    scopus 로고
    • McCammond J. and Mortveit H. S. Order independence in asynchronous Cellular Automata
    • In press
    • Macauley M., McCammond J. and Mortveit H. S. Order independence in asynchronous cellular automata. Journal of Cellular Automata (2008) in press.
    • (2008) Journal of Cellullular Automata
    • Macaul, Y.1
  • 24
    • 0003029199 scopus 로고
    • Machine models of self-reproduction
    • Reprinted in Essays on Cellular Automata, A. W. Burks (ed.), University of Illinois Press
    • Moore E. F. Machine models of self-reproduction. Proceedings of Symposia in Applied Mathematics 14 (1962), 17-33. (Reprinted in Essays on Cellular Automata, A. W. Burks (ed.), University of Illinois Press, 1970).
    • (1962) Proceedings of Symposia in Applied Mathematics , vol.14 , pp. 17-33
    • Moore, E.F.1
  • 25
    • 0002955610 scopus 로고    scopus 로고
    • Synchronization of stochastically coupled cellular automata
    • Morelli L. G. and Zanette D. H. Synchronization of stochastically coupled cellular automata. Physical Review E (July 1998), R8-R11.
    • (1998) Physical Review E
    • Morelli, L.G.1    Zanette, D.H.2
  • 26
    • 7244229813 scopus 로고    scopus 로고
    • Universality classes in nonequilibrium systems
    • Ódor G. Universality classes in nonequilibrium systems. Reviews of Modern Physics 76(2004).
    • Reviews of Modern Physics , vol.76 , pp. 2004
    • Ódor, G.1
  • 27
    • 1342298350 scopus 로고
    • Phase transition study of a one-dimensional probabilistic site-exchange cellular automaton
    • Ódor G., Boccara N. and Szabó G. Phase transition study of a one-dimensional probabilistic site-exchange cellular automaton. Physical Review E 48(4) (1993), 3168-3171.
    • (1993) Physical Review E , vol.48 , Issue.4 , pp. 3168-3171
    • Ódor, G.1    Boccara, N.2    Szabó, G.3
  • 28
    • 0000670935 scopus 로고    scopus 로고
    • Directed-percolation conjecture for cellular automata
    • Ódor G. and Szolnoki A. Directed-percolation conjecture for cellular automata. Physical Review E 53(3) (1996), 2231-2238.
    • (1996) Physical Review E , vol.53 , Issue.3 , pp. 2231-2238
    • Ódor, G.1    Szolnoki, A.2
  • 31
    • 0345426372 scopus 로고    scopus 로고
    • Synchronous and asynchronous updating in cellular automata
    • Schönfisch B. and de Roos A. Synchronous and asynchronous updating in cellular automata.BioSystems 51 (1999), 123-143.
    • (1999) BioSystems , vol.51 , pp. 123-143
    • Schönfisch, B.1    de Roos, A.2
  • 32
    • 0020495993 scopus 로고
    • Universality and complexity in cellular automata
    • Wolfram S. Universality and complexity in cellular automata. Physica D 10 (1984), 1-35.
    • (1984) Physica D , vol.10 , pp. 1-35
    • Wolfram, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.