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Communications in Mathematical Physics
Volumn 190, Issue 2, 1997, Pages 375-394
Towards a kneading theory for Lozi mappings. II: Monotonicity of the topological entropy and Hausdorff dimension of attractors
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EID: 0031549916     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050245     Document Type: Article
Times cited : (21)
References (12)
  • 1
    • 0001324823 scopus 로고
    • Ergodic properties of the Lozi mappings
    • Collet, P., Levy, Y.: Ergodic properties of the Lozi mappings. Commun. Math. Phys. 93, 461-481 (1984)
    • (1984) Commun. Math. Phys. , vol.93 , pp. 461-481
    • Collet, P.1    Levy, Y.2
  • 2
    • 44949273254 scopus 로고
    • Periodic orbits as the skeleton of classical and quantum chaos
    • Cvitanović, P.: Periodic orbits as the skeleton of classical and quantum chaos. Physica D 51, 138-151 (1991)
    • (1991) Physica D , vol.51 , pp. 138-151
    • Cvitanović, P.1
  • 3
    • 5544234625 scopus 로고
    • Topological and metric properties of Hénon-type strange attractors
    • Cvitanović, P., Gunaratne, G.H., Procaccia, I.: Topological and metric properties of Hénon-type strange attractors. Phys. Rev. A 38, 1503-1320 (1988)
    • (1988) Phys. Rev. A , vol.38 , pp. 1503-11320
    • Cvitanović, P.1    Gunaratne, G.H.2    Procaccia, I.3
  • 5
    • 0007156370 scopus 로고    scopus 로고
    • Towards a kneading theory for Lozi mappings I: A solution of the pruning front conjecture and the first tangency problem
    • Ishii, Y.: Towards a kneading theory for Lozi mappings I: A solution of the pruning front conjecture and the first tangency problem. To appear in Nonlinearity (1997)
    • (1997) Nonlinearity
    • Ishii, Y.1
  • 7
    • 0001231525 scopus 로고
    • Antimonotonicity: Concurrent creation and annihilation of periodic orbits
    • Kan, I., Koçak, H., Yorke, J.: Antimonotonicity: Concurrent creation and annihilation of periodic orbits. Ann. Math. 136, 219-252 (1992)
    • (1992) Ann. Math. , vol.136 , pp. 219-252
    • Kan, I.1    Koçak, H.2    Yorke, J.3
  • 8
    • 0002634180 scopus 로고
    • Un attracteur étrange(?) du type attracteur de Hénon
    • Paris
    • Lozi, R.: Un attracteur étrange(?) du type attracteur de Hénon. J. Phys. (Paris) 39 (Coll. C5), 69-77 (1978)
    • (1978) J. Phys. , vol.39 , Issue.COLL. C5 , pp. 69-77
    • Lozi, R.1
  • 9
    • 0000848698 scopus 로고
    • On iterated maps of the interval
    • Preprint Princeton University (1977) and published in: Dynamical Systems, J.C. Alexander (ed.). Berlin-Heidelberg-New York: Springer
    • Milnor, J., Thurston, W.: On iterated maps of the interval. Preprint Princeton University (1977) and published in: Dynamical Systems, J.C. Alexander (ed.). Lecture Notes in Math., Vol. 1342. Berlin-Heidelberg-New York: Springer, 1988, pp. 465-563
    • (1988) Lecture Notes in Math. , vol.1342 , pp. 465-563
    • Milnor, J.1    Thurston, W.2
  • 10
    • 84973445633 scopus 로고
    • Nonlinear Dynamics, R.G. Helleman (ed.). New York: The New York Academy of Sciences
    • Misiurewicz, M.: Strange attractors for the Lozi mappings. In: Nonlinear Dynamics, R.G. Helleman (ed.). New York: The New York Academy of Sciences, 1980, pp. 348-358
    • (1980) Strange Attractors for the Lozi Mappings , pp. 348-358
    • Misiurewicz, M.1
  • 11
    • 84956256298 scopus 로고
    • Dimension, entropy, and lyapunov exponents
    • Young, L.-S.: Dimension, entropy, and Lyapunov exponents. Erg. Th. Dyn. Syst. 2, 109-124 (1982)
    • (1982) Erg. Th. Dyn. Syst. , vol.2 , pp. 109-124
    • Young, L.-S.1
  • 12
    • 84968486188 scopus 로고
    • Bowen-Ruelle measures for certain piecewise hyperbolic maps
    • Young, L.-S.: Bowen-Ruelle measures for certain piecewise hyperbolic maps. Trans. Amer. Math. Soc. 287, 41-48 (1985)
    • (1985) Trans. Amer. Math. Soc. , vol.287 , pp. 41-48
    • Young, L.-S.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.