메뉴 건너뛰기




Volumn 31, Issue 14, 1998, Pages 3287-3296

Feigenbaum theory for unimodal maps with asymmetric critical point

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0032502511     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/14/014     Document Type: Article
Times cited : (4)

References (16)
  • 1
    • 0010208772 scopus 로고
    • A renormalization group with periodic behaviour
    • Arneodo A, Coullet P and Tresser C 1979 A renormalization group with periodic behaviour Phys. Lett. 70A 74-6
    • (1979) Phys. Lett. , vol.70 A , pp. 74-76
    • Arneodo, A.1    Coullet, P.2    Tresser, C.3
  • 2
    • 84966260772 scopus 로고
    • A precise calculation of the Feigenbaum constants
    • Briggs K 1991 A precise calculation of the Feigenbaum constants Math. Comput. 57 435-9
    • (1991) Math. Comput. , vol.57 , pp. 435-439
    • Briggs, K.1
  • 3
    • 0002580784 scopus 로고
    • On the existence of Feigenbaum's fixed point
    • Campanino M and Epstein H 1981 On the existence of Feigenbaum's fixed point Commun. Math. Phys. 79 261-302
    • (1981) Commun. Math. Phys. , vol.79 , pp. 261-302
    • Campanino, M.1    Epstein, H.2
  • 4
    • 0000754060 scopus 로고
    • On Feigenbaum's functional equation g ○ g(λx) + λg(x) = 0
    • Campanino M, Epstein H and Ruelle D 1982 On Feigenbaum's functional equation g ○ g(λx) + λg(x) = 0 Topology 21 125-9
    • (1982) Topology , vol.21 , pp. 125-129
    • Campanino, M.1    Epstein, H.2    Ruelle, D.3
  • 5
    • 0001942894 scopus 로고
    • Itération d'endomorphismes et groupe de renormalization
    • Coullet P and Tresser C 1978 Itération d'endomorphismes et groupe de renormalization J. Physique C 5 25-8
    • (1978) J. Physique C , vol.5 , pp. 25-28
    • Coullet, P.1    Tresser, C.2
  • 6
    • 0009061160 scopus 로고
    • Scaling and multifractality in one-dimensional asymmetric maps
    • de Sousa Vieira M C and Tsallis C 1989 Scaling and multifractality in one-dimensional asymmetric maps Phys. Rev. A 40 5305-10
    • (1989) Phys. Rev. A , vol.40 , pp. 5305-5310
    • De Sousa Vieira, M.C.1    Tsallis, C.2
  • 8
    • 0000871615 scopus 로고
    • New proofs of the existence of the Feigenbaum functions
    • Epstein H 1986 New proofs of the existence of the Feigenbaum functions Commun. Math. Phys. 106 395-426
    • (1986) Commun. Math. Phys. , vol.106 , pp. 395-426
    • Epstein, H.1
  • 9
    • 0001816458 scopus 로고
    • Quantitative universality for a class of nonlinear transformations
    • Feigenbaum M J 1978 Quantitative universality for a class of nonlinear transformations J. Stat. Phys. 19 25-52
    • (1978) J. Stat. Phys. , vol.19 , pp. 25-52
    • Feigenbaum, M.J.1
  • 10
    • 0347447535 scopus 로고
    • The universal metric properties of nonlinear transformations
    • Feigenbaum M J 1979 The universal metric properties of nonlinear transformations J. Stat. Phys. 21 669-706
    • (1979) J. Stat. Phys. , vol.21 , pp. 669-706
    • Feigenbaum, M.J.1
  • 11
    • 0001384723 scopus 로고
    • Nonuniversal behavior of asymmetric unimodal maps
    • Jensen R V and Ma L K H 1985 Nonuniversal behavior of asymmetric unimodal maps Phys. Rev. A 31 3993-5
    • (1985) Phys. Rev. A , vol.31 , pp. 3993-3995
    • Jensen, R.V.1    Ma, L.K.H.2
  • 12
    • 0002966856 scopus 로고
    • Circle homeomorphisms with weak discontinuities
    • Khanin K M and Vul E B 1991 Circle homeomorphisms with weak discontinuities Adv. Sov. Math. 3 57-98
    • (1991) Adv. Sov. Math. , vol.3 , pp. 57-98
    • Khanin, K.M.1    Vul, E.B.2
  • 13
    • 84966250718 scopus 로고
    • A computer-assisted proof of the Feigenbaum conjectures
    • Lanford O E 1982 A computer-assisted proof of the Feigenbaum conjectures Bull. Am. Math. Soc. 6 427-34
    • (1982) Bull. Am. Math. Soc. , vol.6 , pp. 427-434
    • Lanford, O.E.1
  • 14
    • 0040144000 scopus 로고
    • Renormalization in implicit complex maps
    • Mestel B D and Osbaldestin A H 1989 Renormalization in implicit complex maps Physica 39D 149-62
    • (1989) Physica , vol.39 D , pp. 149-162
    • Mestel, B.D.1    Osbaldestin, A.H.2
  • 15
    • 0039552637 scopus 로고
    • Multifurcations of asymmetric maps and their metric properties
    • Urumov V 1991 Multifurcations of asymmetric maps and their metric properties Phys. Lett. A 156 187-91
    • (1991) Phys. Lett. A , vol.156 , pp. 187-191
    • Urumov, V.1
  • 16
    • 0013510238 scopus 로고
    • Period doubling in maps with a maximum of order z
    • van der Weele J P, Capel H W and Kluiving R 1987 Period doubling in maps with a maximum of order z Physica 145A 425-60
    • (1987) Physica , vol.145 A , pp. 425-460
    • Van Der Weele, J.P.1    Capel, H.W.2    Kluiving, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.