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Volumn 22, Issue 4, 2012, Pages

A full computation-relevant topological dynamics classification of elementary cellular automata

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CELLS; NONLINEAR SYSTEM; THEORETICAL MODEL;

EID: 84871895460     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4771662     Document Type: Article
Times cited : (32)

References (27)
  • 3
    • 0001072208 scopus 로고
    • Endomorphisms and automorphisms of the shift dynamical system
    • 10.1007/BF01691062, homampersand
    • Hedlund G.A. "Endomorphisms and automorphisms of the shift dynamical system. Theory Comput. Syst. 1969, 3(4):320-375. 10.1007/BF01691062, homampersand
    • (1969) Theory Comput. Syst. , vol.3 , Issue.4 , pp. 320-375
    • Hedlund, G.A.1
  • 4
    • 0004140038 scopus 로고
    • Cellular automata
    • Wolfram S. Cellular automata. Los Alamos Sci. 1983, 9(2-21):2-27.
    • (1983) Los Alamos Sci. , vol.9 , Issue.2-21 , pp. 2-27
    • Wolfram, S.1
  • 5
    • 35949018560 scopus 로고
    • Statistical mechanics of cellular automata
    • 10.1103/RevModPhys.55.601
    • Wolfram S. Statistical mechanics of cellular automata. Rev. Mod. Phys. 1983, 55(3):601-644. 10.1103/RevModPhys.55.601.
    • (1983) Rev. Mod. Phys. , vol.55 , Issue.3 , pp. 601-644
    • Wolfram, S.1
  • 6
    • 0020495993 scopus 로고
    • Universality and complexity in cellular automata
    • 10.1016/0167-2789(84)90245-8
    • Wolfram S. Universality and complexity in cellular automata. Physica D 1984, 10(1-2):1-35. 10.1016/0167-2789(84)90245-8.
    • (1984) Physica D , vol.10 , Issue.1-2 , pp. 1-35
    • Wolfram, S.1
  • 7
    • 0001025898 scopus 로고
    • The structure of the elementary cellular automata rule space
    • Li W. Packard N. The structure of the elementary cellular automata rule space. Complex Syst. 1990, 4(3):281-297.
    • (1990) Complex Syst. , vol.4 , Issue.3 , pp. 281-297
    • Li, W.1    Packard, N.2
  • 8
    • 0001217830 scopus 로고
    • Undecidability of CA classification schemes
    • Culik K. Yu S. Undecidability of CA classification schemes. Complex Syst. 1988, 2(2):177-190.
    • (1988) Complex Syst. , vol.2 , Issue.2 , pp. 177-190
    • Culik, K.1    Yu, S.2
  • 9
    • 84974281198 scopus 로고
    • Classes of linear cellular automata
    • 10.1017/S0143385700003837
    • Gilman R.H. Classes of linear cellular automata. Ergod. Theory Dyn. Syst. 1987, 7:105-118. 10.1017/S0143385700003837.
    • (1987) Ergod. Theory Dyn. Syst. , vol.7 , pp. 105-118
    • Gilman, R.H.1
  • 10
    • 0040238246 scopus 로고    scopus 로고
    • Languages, equicontinuity and attractors in cellular automata
    • Kurka P. Languages, equicontinuity and attractors in cellular automata. Ergod. Theory Dyn. Syst. 2001, 17(02):417-433.
    • (2001) Ergod. Theory Dyn. Syst. , vol.17 , Issue.2 , pp. 417-433
    • Kurka, P.1
  • 12
    • 16444381557 scopus 로고    scopus 로고
    • On undecidability of equicontinuity classification for cellular automata
    • Durand B. Formenti E. Varouchas G. On undecidability of equicontinuity classification for cellular automata. Discrete Math. Theor. Comput. Sci. 2003, AB(DMCS):117-128.
    • (2003) Discrete Math. Theor. Comput. Sci. , vol.AB , Issue.DMCS , pp. 117-128
    • Durand, B.1    Formenti, E.2    Varouchas, G.3
  • 13
    • 34249043785 scopus 로고
    • Algebraic properties of cellular automata
    • 10.1007/BF01223745
    • Martin O. Odlyzko A.M. Wolfram S. Algebraic properties of cellular automata. Commun. Math. Phys. 1984, 93(2):219-258. 10.1007/BF01223745.
    • (1984) Commun. Math. Phys. , vol.93 , Issue.2 , pp. 219-258
    • Martin, O.1    Odlyzko, A.M.2    Wolfram, S.3
  • 14
    • 0037002279 scopus 로고    scopus 로고
    • A nonlinear dynamics perspective of Wolframs new kind of science. Part I: Threshold of complexity
    • 10.1142/S0218127402006333
    • Chua L.O. Yoon S. Dogaru R. A nonlinear dynamics perspective of Wolframs new kind of science. Part I: Threshold of complexity. Int. J. Bifurcation Chaos 2002, 12(12):2655-2766. 10.1142/S0218127402006333.
    • (2002) Int. J. Bifurcation Chaos , vol.12 , Issue.12 , pp. 2655-2766
    • Chua, L.O.1    Yoon, S.2    Dogaru, R.3
  • 16
    • 70349254343 scopus 로고    scopus 로고
    • On the relationship between boolean and fuzzy cellular automata
    • 10.1016/j.entcs.2009.09.011
    • Betel H. Flocchini P. On the relationship between boolean and fuzzy cellular automata. Electron. Notes Theor. Comput. Sci. 2009, 252:5-21. 10.1016/j.entcs.2009.09.011.
    • (2009) Electron. Notes Theor. Comput. Sci. , vol.252 , pp. 5-21
    • Betel, H.1    Flocchini, P.2
  • 21
    • 0012098841 scopus 로고    scopus 로고
    • Investigating topological chaos by elementary cellular automata dynamics
    • 10.1016/S0304-3975(98)00345-4
    • Cattaneo G. Finelli M. Margara L. Investigating topological chaos by elementary cellular automata dynamics. Theor. Comput. Sci. 2000, 244(1-2):219-241. 10.1016/S0304-3975(98)00345-4.
    • (2000) Theor. Comput. Sci. , vol.244 , Issue.1-2 , pp. 219-241
    • Cattaneo, G.1    Finelli, M.2    Margara, L.3
  • 22
    • 0041684297 scopus 로고    scopus 로고
    • Some properties of cellular automata with equicontinuity points
    • 10.1016/S0246-0203(00)00141-2
    • Blanchard F. Tisseur P. Some properties of cellular automata with equicontinuity points. Ann. I.H.P. Probab. Stat. 2000, 36(5):569-582. 10.1016/S0246-0203(00)00141-2.
    • (2000) Ann. I.H.P. Probab. Stat. , vol.36 , Issue.5 , pp. 569-582
    • Blanchard, F.1    Tisseur, P.2
  • 23
    • 8744267587 scopus 로고    scopus 로고
    • Universality in elementary cellular automata
    • Cook M. Universality in elementary cellular automata. Complex Syst. 2004, 15(1):1-40.
    • (2004) Complex Syst. , vol.15 , Issue.1 , pp. 1-40
    • Cook, M.1
  • 25
    • 33845529532 scopus 로고    scopus 로고
    • Decidability and universality in symbolic dynamical systems
    • Delvenne J.C. Kurka P. Blondel V. Decidability and universality in symbolic dynamical systems. Fund. Inform. 2006, 74(4):463-490.
    • (2006) Fund. Inform. , vol.74 , Issue.4 , pp. 463-490
    • Delvenne, J.C.1    Kurka, P.2    Blondel, V.3
  • 26
    • 1442284195 scopus 로고    scopus 로고
    • Complexity of dynamics as variability of predictability
    • 10.1023/B:JOSS.0000012519.93677.15
    • Stoop R. Stoop N. Bunimovich L. Complexity of dynamics as variability of predictability. J. Stat. Phys. 2004, 114(3):1127-1137. 10.1023/B:JOSS.0000012519.93677.15.
    • (2004) J. Stat. Phys. , vol.114 , Issue.3 , pp. 1127-1137
    • Stoop, R.1    Stoop, N.2    Bunimovich, L.3
  • 27
    • 7244239162 scopus 로고    scopus 로고
    • Natural computation measured as a reduction of complexity
    • 10.1063/1.1778051
    • Stoop R. Stoop N. Natural computation measured as a reduction of complexity. Chaos 2004, 14:675. 10.1063/1.1778051.
    • (2004) Chaos , vol.14 , pp. 675
    • Stoop, R.1    Stoop, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.