메뉴 건너뛰기




Volumn 148, Issue 3-4, 2001, Pages 242-254

Jacobian elliptic Chebyshev rational maps

Author keywords

Chaos; Chebyshev polynomial maps; Correlation function; Ensemble average; Ergodic map; Independence; Jacobian elliptic Chebyshev rational maps; Perron Frobenius operator; Sequence of i.i.d. p ary random variables

Indexed keywords


EID: 0346311382     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(00)00184-6     Document Type: Article
Times cited : (33)

References (23)
  • 1
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • L.M. Pecora, T.L. Carroll, Synchronization in chaotic systems, Phys. Rev. Lett. 64 (1990) 821-824.
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 821-824
    • Pecora, L.M.1    Carroll, T.L.2
  • 4
    • 0024012644 scopus 로고
    • An introduction to contemporary cryptology
    • J.L. Massey, An introduction to contemporary cryptology, Proc. IEEE 76 (5) (1988) 533-549.
    • (1988) Proc. IEEE , vol.76 , Issue.5 , pp. 533-549
    • Massey, J.L.1
  • 7
    • 0001591606 scopus 로고
    • On combination of stochastic and deterministic processes
    • S.M. Ulam, J. von Neumann, On combination of stochastic and deterministic processes, Bull. Math. Soc. 53 (1947) 1120.
    • (1947) Bull. Math. Soc. , vol.53 , pp. 1120
    • Ulam, S.M.1    Von Neumann, J.2
  • 9
    • 0003344466 scopus 로고
    • Iteration of Rational Functions
    • Springer, Berlin
    • A.F. Beardon, Iteration of Rational Functions, Graduate Texts in Mathematics, Vol. 132, Springer, Berlin, 1991.
    • (1991) Graduate Texts in Mathematics , vol.132
    • Beardon, A.F.1
  • 12
    • 84926767644 scopus 로고
    • Invariant distributions and stationary correlation functions of one-dimensional discrete processes
    • S. Grossmann, S. Thomae, Invariant distributions and stationary correlation functions of one-dimensional discrete processes, Z. Naturforsch. A 32 (1977) 1353-1363.
    • (1977) Z. Naturforsch. A , vol.32 , pp. 1353-1363
    • Grossmann, S.1    Thomae, S.2
  • 13
    • 0030833521 scopus 로고    scopus 로고
    • Statistics of chaotic binary sequences
    • T. Kohda, A. Tsuneda, Statistics of chaotic binary sequences, IEEE Trans. Inform. Theory 43 (1) (1997) 104-112.
    • (1997) IEEE Trans. Inform. Theory , vol.43 , Issue.1 , pp. 104-112
    • Kohda, T.1    Tsuneda, A.2
  • 15
    • 4244033811 scopus 로고
    • Probability Theory I
    • Springer, Berlin
    • M. Loève, Probability Theory I, Graduate Texts in Mathematics, Vol. 45, Springer, Berlin, 1977.
    • (1977) Graduate Texts in Mathematics , vol.45
    • Loève, M.1
  • 16
    • 0032392259 scopus 로고    scopus 로고
    • Curved chaotic map time series models and their stochastic reverdals
    • A.J. Lawrance, N.M. Spencer, Curved chaotic map time series models and their stochastic reverdals, Scand. J. Statist. 25 (1998) 371-382.
    • (1998) Scand. J. Statist. , vol.25 , pp. 371-382
    • Lawrance, A.J.1    Spencer, N.M.2
  • 17
    • 0010495236 scopus 로고    scopus 로고
    • Correlational properties of Chebyshev chaotic sequences
    • T. Kohda, A. Tsuneda, A.J. Lawrance, Correlational properties of Chebyshev chaotic sequences, J. Time Ser. Anal. 21 (2000) 181-191.
    • (2000) J. Time Ser. Anal. , vol.21 , pp. 181-191
    • Kohda, T.1    Tsuneda, A.2    Lawrance, A.J.3
  • 19
    • 5844348018 scopus 로고
    • Exactly solvable models showing chaotic behaviour
    • S. Katsura, W. Fukuda, Exactly solvable models showing chaotic behaviour, Physica A 130 (1985) 597-605.
    • (1985) Physica A , vol.130 , pp. 597-605
    • Katsura, S.1    Fukuda, W.2
  • 21
    • 0001113060 scopus 로고    scopus 로고
    • Method of constructing exactly solvable chaos
    • K. Umeno, Method of constructing exactly solvable chaos, Phys. Rev. E 55 (5) (1997) 5280-5284.
    • (1997) Phys. Rev. E , vol.55 , Issue.5 , pp. 5280-5284
    • Umeno, K.1
  • 23
    • 0010452332 scopus 로고
    • Statistical properties of chaos in Chebyshev maps
    • T. Geisel, V. Fairen, Statistical properties of chaos in Chebyshev maps, Phys. Lett. A 105 (6) (1984) 263-266.
    • (1984) Phys. Lett. A , vol.105 , Issue.6 , pp. 263-266
    • Geisel, T.1    Fairen, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.