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Volumn 111, Issue 1-4, 1998, Pages 27-41

Predicting nonlinear cellular automata quickly by decomposing them into linear ones

Author keywords

Algebraic methods; Cellular automata; Non Abelian groups; Nonlinear dynamics

Indexed keywords


EID: 0002809415     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(97)80003-6     Document Type: Article
Times cited : (39)

References (36)
  • 1
    • 0002970176 scopus 로고
    • 1 formulae on finite structures
    • 1 formulae on finite structures, Ann. Pure Appl. Logic 24 (1983) 1-48.
    • (1983) Ann. Pure Appl. Logic , vol.24 , pp. 1-48
    • Ajtai, M.1
  • 2
    • 22244485347 scopus 로고
    • Additive cellular automata with external inputs
    • D.K. Arrowsmith and R.A. Dow, Additive cellular automata with external inputs, Complex Systems 9 (1995) 399-429.
    • (1995) Complex Systems , vol.9 , pp. 399-429
    • Arrowsmith, D.K.1    Dow, R.A.2
  • 9
    • 0013515878 scopus 로고
    • Attractor vicinity decay for a cellular automaton
    • J.P. Crutchfield and J.E. Hanson, Attractor vicinity decay for a cellular automaton, Chaos 3 (2) (1993) 215-224.
    • (1993) Chaos , vol.3 , Issue.2 , pp. 215-224
    • Crutchfield, J.P.1    Hanson, J.E.2
  • 10
    • 0002805849 scopus 로고
    • Computation theoretical aspects of cellular automata
    • K. Culik II, L.P. Hurd and S. Yu, Computation theoretical aspects of cellular automata, Physica D 45 (1990) 357-378.
    • (1990) Physica D , vol.45 , pp. 357-378
    • Culik II, K.1    Hurd, L.P.2    Yu, S.3
  • 13
    • 0002127588 scopus 로고
    • Parity, circuits, and the polynomial-time hierarchy
    • M. Furst, J.B. Saxe and M. Sipser, Parity, circuits, and the polynomial-time hierarchy, Math. System Theory 17 (1984) 13-27.
    • (1984) Math. System Theory , vol.17 , pp. 13-27
    • Furst, M.1    Saxe, J.B.2    Sipser, M.3
  • 17
    • 22244462906 scopus 로고    scopus 로고
    • Computational mechanics of cellular automata: An example
    • Santa Fe Institute Working Paper 95-10-095, Proc. Int. Workshop on Lattice Dynamics, to appear
    • J.E. Hanson and J.P. Crutchfield, Computational mechanics of cellular automata: an example, Santa Fe Institute Working Paper 95-10-095, Proc. Int. Workshop on Lattice Dynamics, Physica D, to appear.
    • Physica D
    • Hanson, J.E.1    Crutchfield, J.P.2
  • 18
    • 0039682914 scopus 로고
    • Exact solvability and quasiperiodicity of one-dimensional cellular automata
    • E. Jen, Exact solvability and quasiperiodicity of one-dimensional cellular automata, Non-linearity 4 (1990) 251.
    • (1990) Non-linearity , vol.4 , pp. 251
    • Jen, E.1
  • 20
    • 0001223260 scopus 로고
    • Universal computation in simple one-dimensional cellular automata
    • K. Lindgren and M.G. Nordahl, Universal computation in simple one-dimensional cellular automata, Complex Systems 4 (1990) 299-318.
    • (1990) Complex Systems , vol.4 , pp. 299-318
    • Lindgren, K.1    Nordahl, M.G.2
  • 21
    • 0030534786 scopus 로고    scopus 로고
    • The computational complexity of generating random fractals
    • J. Machta and R. Greenlaw, The computational complexity of generating random fractals, J. Stat. Phys. 82 (1996) 1299.
    • (1996) J. Stat. Phys. , vol.82 , pp. 1299
    • Machta, J.1    Greenlaw, R.2
  • 22
  • 23
    • 22244475282 scopus 로고    scopus 로고
    • Quasi-linear cellular automata
    • Santa Fe Institute Working Paper 95-09-078, Proc. Int. Workshop on Lattice Dynamics, to appear
    • C. Moore, Quasi-linear cellular automata, Santa Fe Institute Working Paper 95-09-078, Proc. Int. Workshop on Lattice Dynamics, Physica D, to appear.
    • Physica D
    • Moore, C.1
  • 24
    • 85088543399 scopus 로고    scopus 로고
    • Majority-vote cellular automata, Ising dynamics, and P-completeness
    • Santa Fe Institute Working Paper 96-08-060, submitted
    • C. Moore, Majority-vote cellular automata, Ising dynamics, and P-completeness, Santa Fe Institute Working Paper 96-08-060, J. Stat. Phys., submitted.
    • J. Stat. Phys.
    • Moore, C.1
  • 26
    • 0002189745 scopus 로고    scopus 로고
    • Algebraic properties of the block transformation on cellular automata
    • Santa Fe Institute Working Paper 95-09-080, to appear
    • C. Moore and A. Drisko, Algebraic properties of the block transformation on cellular automata, Santa Fe Institute Working Paper 95-09-080, Complex Systems, to appear.
    • Complex Systems
    • Moore, C.1    Drisko, A.2
  • 29
    • 0346645300 scopus 로고
    • Cellular automata as algebraic systems
    • J. Pedersen, Cellular automata as algebraic systems, Complex Systems 6 (1992) 237-250.
    • (1992) Complex Systems , vol.6 , pp. 237-250
    • Pedersen, J.1
  • 30
    • 26944478724 scopus 로고
    • Lower bounds for the size of circuits of bounded depth with basis {&. ⊕}
    • A.A. Razborov, Lower bounds for the size of circuits of bounded depth with basis {&. ⊕}, Math. Notes Acad. Sci. USSR 41 (4) (1987) 333-338.
    • (1987) Math. Notes Acad. Sci. USSR , vol.41 , Issue.4 , pp. 333-338
    • Razborov, A.A.1
  • 31
    • 0000809970 scopus 로고
    • Fast computation of additive cellular automata
    • A.D. Robinson, Fast computation of additive cellular automata, Complex Systems 1 (1987) 211-216.
    • (1987) Complex Systems , vol.1 , pp. 211-216
    • Robinson, A.D.1
  • 32
    • 22244453930 scopus 로고    scopus 로고
    • personal communication
    • D. Rusin, personal communication.
    • Rusin, D.1
  • 33
    • 0023570259 scopus 로고
    • Algebraic methods in the theory of lower bounds for Boolean circuit complexity
    • R. Smolensky, Algebraic methods in the theory of lower bounds for Boolean circuit complexity, Proc. 19th ACM Symposium on the Theory of Computing (1987) 77-82.
    • (1987) Proc. 19th ACM Symposium on the Theory of Computing , pp. 77-82
    • Smolensky, R.1
  • 35
    • 35949018560 scopus 로고
    • Statistical Mechanics of Cellular Automata
    • S. Wolfram, Statistical Mechanics of Cellular Automata, Rev. Modern Phys. 55 (1983) 601-644.
    • (1983) Rev. Modern Phys. , vol.55 , pp. 601-644
    • Wolfram, S.1
  • 36
    • 84992720189 scopus 로고
    • Cryptography with Cellular Automata
    • S. Wolfram, Cryptography with Cellular Automata, Lecture Notes in Computer Science 218 (1986) 429-432.
    • (1986) Lecture Notes in Computer Science , vol.218 , pp. 429-432
    • Wolfram, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.