메뉴 건너뛰기




Volumn 14, Issue 2, 2001, Pages 323-337

Unfolding of chaotic unimodal maps and the parameter dependence of natural measures

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035289437     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/14/2/308     Document Type: Article
Times cited : (30)

References (31)
  • 2
    • 0001870459 scopus 로고
    • The dynamics of the hénon map
    • Benedicks M and Carleson L 1991 The dynamics of the Hénon map Ann. Math. 133 73-169
    • (1991) Ann. Math. , vol.133 , pp. 73-169
    • Benedicks, M.1    Carleson, L.2
  • 3
    • 0001456877 scopus 로고
    • Measurable dynamics of s-unimodal maps of the interval
    • Blokh A M and Lyubich M Yu 1991 Measurable dynamics of S-unimodal maps of the interval Ann. Sci. Ecole Norm. Sup. 4e 24 545-73
    • (1991) Ann. Sci. Ecole Norm. Sup. 4e , vol.24 , pp. 545-573
    • Blokh, A.M.1    Lyubich, M.Yu.2
  • 5
    • 0000640307 scopus 로고    scopus 로고
    • Strong stochastic stability and rate of mixing for unimodal maps
    • Baladi V and Viana M 1996 Strong stochastic stability and rate of mixing for unimodal maps Ann. Sci. Ecole Norm. Sup. 4e 29 483-517
    • (1996) Ann. Sci. Ecole Norm. Sup. 4e , vol.29 , pp. 483-517
    • Baladi, V.1    Viana, M.2
  • 6
    • 84971895467 scopus 로고
    • Absolutely continuous invariant measures and random perturbations for certain one-dimensional maps
    • Benedicks M and Young L S 1992 Absolutely continuous invariant measures and random perturbations for certain one-dimensional maps Ergod. Theor. Dynam. Syst. 12 13-37
    • (1992) Ergod. Theor. Dynam. Syst. , vol.12 , pp. 13-37
    • Benedicks, M.1    Young, L.S.2
  • 7
    • 0007432085 scopus 로고    scopus 로고
    • (in Chinese)
    • Cao Yong Luo and Wang Lan Yu 2000 Appl. Math. Mech. 21 348-52 (in Chinese) (Engl. transl. Cao Yong Luo and Wang Lan Yu 2000 Appl. Math. Mech. (Engl. Edn.) 21 389-94)
    • (2000) Appl. Math. Mech. , vol.21 , pp. 348-352
    • Cao Yong, L.1    Wang Lan, Yu.2
  • 9
    • 0031530948 scopus 로고    scopus 로고
    • Generic hyperbolicity in the logistic family
    • Graczyk J and Świa̧tek G 1997 Generic hyperbolicity in the logistic family Ann. Math. 146 1-52
    • (1997) Ann. Math. , vol.146 , pp. 1-52
    • Graczyk, J.1    Świa̧tek, G.2
  • 10
    • 0001142190 scopus 로고
    • Quadratic maps without asymptotic measure
    • Hofbauer F and Keller G 1990 Quadratic maps without asymptotic measure Commun. Math. Phys. 127 319-37
    • (1990) Commun. Math. Phys. , vol.127 , pp. 319-337
    • Hofbauer, F.1    Keller, G.2
  • 11
    • 51249178879 scopus 로고
    • Generic properties of invariant measures for simple piecewise monotonie transformations
    • Hofbauer F 1987 Generic properties of invariant measures for simple piecewise monotonie transformations Israel J. Math. 59 64-80
    • (1987) Israel J. Math. , vol.59 , pp. 64-80
    • Hofbauer, F.1
  • 12
    • 0007350083 scopus 로고
    • Generic properties of invariant measures for continuous piecewise monotonic transformations
    • Hofbauer F 1988 Generic properties of invariant measures for continuous piecewise monotonic transformations Monatsh. Math. 106 301-12
    • (1988) Monatsh. Math. , vol.106 , pp. 301-312
    • Hofbauer, F.1
  • 13
    • 0002053804 scopus 로고
    • Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
    • Jakobson M 1981 Absolutely continuous invariant measures for one-parameter families of one-dimensional maps Commun. Math. Phys. 81 39-88
    • (1981) Commun. Math. Phys. , vol.81 , pp. 39-88
    • Jakobson, M.1
  • 14
    • 0000802945 scopus 로고
    • Singular measures without restrictive intervals
    • Johnson S D 1987 Singular measures without restrictive intervals Commun. Math. Phys. 110 185-90
    • (1987) Commun. Math. Phys. , vol.110 , pp. 185-190
    • Johnson, S.D.1
  • 16
    • 0003585897 scopus 로고    scopus 로고
    • Almost every real quadratic map is either regular or stochastic
    • SUNY Stony-Brook, New York
    • Lyubich M 1997 Almost every real quadratic map is either regular or stochastic SUNY Preprint IMS 97-8, SUNY Stony-Brook, New York
    • (1997) Suny Preprint IMS , pp. 97-98
    • Lyubich, M.1
  • 17
    • 0032564465 scopus 로고    scopus 로고
    • Regular and stochastic dynamics in the real quadratic family
    • (electronic)
    • Lyubich M 1998 Regular and stochastic dynamics in the real quadratic family Proc. Natl Acad. Sci., USA 95 14025-7 (electronic)
    • (1998) Proc. Natl Acad. Sci., USA , vol.95 , pp. 14025-14027
    • Lyubich, M.1
  • 18
    • 51249183577 scopus 로고
    • Absolutely continuous measures for certain maps of an interval
    • Misiurewicz M 1981 Absolutely continuous measures for certain maps of an interval Inst. Hautes Études Sci. Publ. Math. 53 17-51
    • (1981) Inst. Hautes Études Sci. Publ. Math. , vol.53 , pp. 17-51
    • Misiurewicz, M.1
  • 20
    • 21144472608 scopus 로고
    • Regularity and other properties of absolutely continuous invariant measures for the quadratic family
    • Rychlik M and Sorets E 1992 Regularity and other properties of absolutely continuous invariant measures for the quadratic family Commun. Math. Phys. 150 217-36
    • (1992) Commun. Math. Phys. , vol.150 , pp. 217-236
    • Rychlik, M.1    Sorets, E.2
  • 21
    • 0001956838 scopus 로고
    • Another proof of jakobsons theorem and related results
    • Rychlik M 1988 Another proof of Jakobsons theorem and related results Ergod. Theor. Dynam. Syst. 8 93-109
    • (1988) Ergod. Theor. Dynam. Syst. , vol.8 , pp. 93-109
    • Rychlik, M.1
  • 22
    • 0003903759 scopus 로고
    • Hyberbolicity is dense in real quadratic family
    • SUNY Stony-Brook, New York
    • Świa̧tek G 1992 Hyberbolicity is dense in real quadratic family SUNY Preprint 10, SUNY Stony-Brook, New York
    • (1992) Suny Preprint , vol.10
    • Świa̧tek, G.1
  • 23
    • 0003948037 scopus 로고    scopus 로고
    • Absolutely continuous invariant measures and super-stable periodic orbits: Weak *-convergence of natural measures
    • Stockholm: KTH
    • Thunberg H 1996 Absolutely continuous invariant measures and super-stable periodic orbits: weak *-convergence of natural measures Some Problems in Unimodal Dynamics (Stockholm: KTH) pp I:1-19
    • (1996) Some Problems in Unimodal Dynamics , vol.1 , pp. 1-19
    • Thunberg, H.1
  • 24
    • 0033457439 scopus 로고    scopus 로고
    • Positive exponent in families with flat critical point
    • Thunberg H 1999 Positive exponent in families with flat critical point Ergod. Theor. Dynam. Syst. 19 767-807
    • (1999) Ergod. Theor. Dynam. Syst. , vol.19 , pp. 767-807
    • Thunberg, H.1
  • 25
    • 0001132718 scopus 로고
    • Positive lyapunov exponent in families of one-dimensional dynamical systems
    • Tsujii M 1993 Positive Lyapunov exponent in families of one-dimensional dynamical systems Invent. Math. 111 113-37
    • (1993) Invent. Math. , vol.111 , pp. 113-137
    • Tsujii, M.1
  • 26
    • 84972530193 scopus 로고
    • A proof of benedicks-carleson-yakobson theorem
    • Tsujii M 1993 A proof of Benedicks-Carleson-Yakobson theorem Tokyo J. Math. 16 295-310
    • (1993) Tokyo J. Math. , vol.16 , pp. 295-310
    • Tsujii, M.1
  • 27
    • 0030525810 scopus 로고    scopus 로고
    • On continuity of bowen-ruelle-sinai measures in families of one-dimensional maps
    • Tsujii M 1996 On continuity of Bowen-Ruelle-Sinai measures in families of one-dimensional maps Commun. Math. Phys. 117 1-11
    • (1996) Commun. Math. Phys. , vol.117 , pp. 1-11
    • Tsujii, M.1
  • 28
    • 0034383078 scopus 로고    scopus 로고
    • A simple proof for monotonicity of entropy in the quadratic family
    • Tsujii M 2000 A simple proof for monotonicity of entropy in the quadratic family Ergod. Theor. Dynam. Syst. 20 925-33
    • (2000) Ergod. Theor. Dynam. Syst. , vol.20 , pp. 925-933
    • Tsujii, M.1
  • 29
    • 0001748121 scopus 로고
    • Positive lyapunov exponent for generic one-parameter families of unimodal maps
    • Thieullen Ph, Tresser C and Young L S 1994 Positive Lyapunov exponent for generic one-parameter families of unimodal maps J. Anal. Math. 64 121-72
    • (1994) J. Anal. Math. , vol.64 , pp. 121-172
    • Thieullen, Ph.1    Tresser, C.2    Young, L.S.3
  • 30
    • 84976012948 scopus 로고
    • On the approximation of hénon-like attractors by homoclinic tangencies
    • Ures R 1995 On the approximation of Hénon-like attractors by homoclinic tangencies Ergod. Theor. Dynam. Syst. 15 1223-9
    • (1995) Ergod. Theor. Dynam. Syst. , vol.15 , pp. 1223-1229
    • Ures, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.