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Volumn 15, Issue 4, 2003, Pages 713-727

Entropy invariants: I. The universal order relation of order-preserving star products

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL OPERATORS; MATRIX ALGEBRA; TOPOLOGY;

EID: 0037289956     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(02)00173-X     Document Type: Article
Times cited : (4)

References (28)
  • 2
    • 0034367559 scopus 로고    scopus 로고
    • On entropy and monotonicity for real cubic maps
    • Milnor J., Tresser C. On entropy and monotonicity for real cubic maps. Commun. Math. Phys. 209:2000;123.
    • (2000) Commun Math Phys , vol.209 , pp. 123
    • Milnor, J.1    Tresser, C.2
  • 3
    • 0001376041 scopus 로고
    • The ordering of critical periodic points in coordinate space by symbolic dynamics
    • Peng S.L., Luo L.S. The ordering of critical periodic points in coordinate space by symbolic dynamics. Phys. Lett. A. 153:1991;345.
    • (1991) Phys Lett A , vol.153 , pp. 345
    • Peng, S.L.1    Luo, L.S.2
  • 4
    • 0015858113 scopus 로고
    • On finite limit sets for transformations on the unit interval
    • Metropolis N., Stein M.L., Stein P.R. On finite limit sets for transformations on the unit interval. J. Comb. Theory. A. 15:1973;25.
    • (1973) J Comb Theory A , vol.15 , pp. 25
    • Metropolis, N.1    Stein, M.L.2    Stein, P.R.3
  • 5
    • 0242325047 scopus 로고
    • Devil's staircase of topological entropy and global metric regularity
    • Erratum. Phys. Lett. A 1995;196:378
    • Peng S.L., Cao K.F., Chen Z.X. Devil's staircase of topological entropy and global metric regularity. Phys. Lett. A. 193:1994;437. Erratum. Phys. Lett. A 1995;196:378.
    • (1994) Phys Lett A , vol.193 , pp. 437
    • Peng, S.L.1    Cao, K.F.2    Chen, Z.X.3
  • 6
    • 0000207220 scopus 로고
    • Symbolic dynamics analysis of topological entropy and its multifractal structure
    • Chen Z.X., Cao K.F., Peng S.L. Symbolic dynamics analysis of topological entropy and its multifractal structure. Phys. Rev. E. 51:1995;1983.
    • (1995) Phys Rev E , vol.51 , pp. 1983
    • Chen, Z.X.1    Cao, K.F.2    Peng, S.L.3
  • 8
    • 0000776299 scopus 로고    scopus 로고
    • Second topological conjugate transformation in symbolic dynamics
    • Peng S.L., Zhang X.S. Second topological conjugate transformation in symbolic dynamics. Phys. Rev. E. 57:1998;5311.
    • (1998) Phys Rev E , vol.57 , pp. 5311
    • Peng, S.L.1    Zhang, X.S.2
  • 9
    • 0000455199 scopus 로고
    • Iteration of endomorphisms on the real axis and representation of numbers
    • Derrida B., Gervois A., Pomeau Y. Iteration of endomorphisms on the real axis and representation of numbers. Ann. Inst. Henri Poincaré A. 29:1978;305.
    • (1978) Ann Inst Henri Poincaré A , vol.29 , pp. 305
    • Derrida, B.1    Gervois, A.2    Pomeau, Y.3
  • 10
    • 0034349987 scopus 로고    scopus 로고
    • The generalized Milnor-Thurston conjecture and dual star products of symbolic dynamics
    • Peng S.L., Zhang X.S. The generalized Milnor-Thurston conjecture and dual star products of symbolic dynamics. Commun. Math. Phys. 213(2):2000;381.
    • (2000) Commun Math Phys , vol.213 , Issue.2 , pp. 381
    • Peng, S.L.1    Zhang, X.S.2
  • 11
    • 0041734310 scopus 로고    scopus 로고
    • Dual star products and metric universality in symbolic dynamics of three letters
    • Peng S.L., Zhang X.S., Cao K.F. Dual star products and metric universality in symbolic dynamics of three letters. Phys. Lett. A. 246:1998;87.
    • (1998) Phys Lett A , vol.246 , pp. 87
    • Peng, S.L.1    Zhang, X.S.2    Cao, K.F.3
  • 12
    • 0039176261 scopus 로고    scopus 로고
    • Cyclic star products and universalities in symbolic dynamics of trimodal maps
    • Zhou Z., Peng S.L. Cyclic star products and universalities in symbolic dynamics of trimodal maps. Physica D. 140:2000;213.
    • (2000) Physica D , vol.140 , pp. 213
    • Zhou, Z.1    Peng, S.L.2
  • 13
    • 0034383120 scopus 로고    scopus 로고
    • Star products of quartic maps with two equally high peaks
    • Zhou Z., Peng S.L. Star products of quartic maps with two equally high peaks. Chinese Phys. Lett. 17:2000;252.
    • (2000) Chinese Phys Lett , vol.17 , pp. 252
    • Zhou, Z.1    Peng, S.L.2
  • 14
    • 0000848698 scopus 로고
    • On iterated maps of the interval
    • Alexander J.C., editor. Berlin: Springer
    • Milnor J., Thurston W. On iterated maps of the interval. Alexander J.C. Lecture notes in mathematics. vol. 1342:1988;465 Springer, Berlin.
    • (1988) Lecture notes in mathematics , vol.1342 , pp. 465
    • Milnor, J.1    Thurston, W.2
  • 15
    • 0000914040 scopus 로고
    • On formal languages of one-dimensional dynamical systems
    • Xie H.M. On formal languages of one-dimensional dynamical systems. Nonlinearity. 6:1993;997.
    • (1993) Nonlinearity , vol.6 , pp. 997
    • Xie, H.M.1
  • 16
    • 44949274831 scopus 로고
    • Symbolic dynamics and characterization of complexity
    • Hao B.L. Symbolic dynamics and characterization of complexity. Physica D. 51:1991;161.
    • (1991) Physica D , vol.51 , pp. 161
    • Hao, B.L.1
  • 17
    • 0033163982 scopus 로고    scopus 로고
    • Complexity of unimodal maps with aperiodic kneading sequences
    • Wang Y., Yang L., Xie H.M. Complexity of unimodal maps with aperiodic kneading sequences. Nonlinearity. 12:1999;1151.
    • (1999) Nonlinearity , vol.12 , pp. 1151
    • Wang, Y.1    Yang, L.2    Xie, H.M.3
  • 19
    • 85126438795 scopus 로고    scopus 로고
    • Entropy invariants: II. The block structure of Stefan matrices
    • in press
    • Chen ZX, Zhou Z. Entropy invariants: II. the block structure of Stefan matrices. Chaos, Solitons & Fractals, in press.
    • Chaos, Solitons & Fractals
    • Chen, Z.X.1    Zhou, Z.2
  • 21
    • 0001157064 scopus 로고
    • Knots, links, and symbolic dynamics
    • Franks J.M. Knots, links, and symbolic dynamics. Annal. Math. 113:1981;529.
    • (1981) Annal Math , vol.113 , pp. 529
    • Franks, J.M.1
  • 22
    • 0001040815 scopus 로고
    • Algebraic evaluation of linking numbers of unstable periodic orbits in chaotic attractors
    • Le Sceller L., Letellier C., Gouesbet G. Algebraic evaluation of linking numbers of unstable periodic orbits in chaotic attractors. Phys. Rev. E. 49:1994;4693.
    • (1994) Phys Rev E , vol.49 , pp. 4693
    • Le Sceller, L.1    Letellier, C.2    Gouesbet, G.3
  • 24
    • 0001102503 scopus 로고
    • The Conway polynomial
    • Kauffman L.H. The Conway polynomial. Topology. 20:1980;101.
    • (1980) Topology , vol.20 , pp. 101
    • Kauffman, L.H.1
  • 25
    • 0010538593 scopus 로고
    • Beijing: World Publishing Corporation
    • Kauffman L.H. On knot. 1990;143 World Publishing Corporation, Beijing.
    • (1990) On knot , pp. 143
    • Kauffman, L.H.1
  • 28
    • 0002500575 scopus 로고    scopus 로고
    • A variety of period-doubling universality classes in multi-parameter analysis of transition to chaos
    • Kuznetsov A.P., Kuznetsov S.P., Sataev I.R. A variety of period-doubling universality classes in multi-parameter analysis of transition to chaos. Physica D. 109:1997;91.
    • (1997) Physica D , vol.109 , pp. 91
    • Kuznetsov, A.P.1    Kuznetsov, S.P.2    Sataev, I.R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.