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Volumn 453, Issue 1965, 1997, Pages 2043-2061

Dynamic period-doubling bifurcations of a unimodal map

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EID: 0001758063     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1997.0110     Document Type: Article
Times cited : (11)

References (19)
  • 2
    • 0000387811 scopus 로고
    • Slow sweep through a period-doubling cascade
    • Baesens, C. 1991 Slow sweep through a period-doubling cascade. Physica D 53, 319-375.
    • (1991) Physica D , vol.53 , pp. 319-375
    • Baesens, C.1
  • 4
    • 0030192984 scopus 로고    scopus 로고
    • Nonstationary response near generic bifurcations
    • Davies, H. G. & Krishna, R. 1996 Nonstationary response near generic bifurcations. Nonlinear Dynamics 10, 235-250.
    • (1996) Nonlinear Dynamics , vol.10 , pp. 235-250
    • Davies, H.G.1    Krishna, R.2
  • 5
    • 0028418349 scopus 로고
    • Nonstationary oscillations about a simple bifurcation
    • Davies, H. G. & Pan, R. 1994 Nonstationary oscillations about a simple bifurcation. J. Sound Vib. 172, 155-170.
    • (1994) J. Sound Vib. , vol.172 , pp. 155-170
    • Davies, H.G.1    Pan, R.2
  • 6
    • 0022661865 scopus 로고
    • Imperfect bifurcation with a slowly varying control parameter
    • Erneux, T. & Mandel, P. 1986 Imperfect bifurcation with a slowly varying control parameter. SIAM Jl Appl. Math. 46, 1-15.
    • (1986) SIAM Jl Appl. Math. , vol.46 , pp. 1-15
    • Erneux, T.1    Mandel, P.2
  • 7
    • 0018506677 scopus 로고
    • Slowly-varying jump and transition phenomena
    • Haberman, R. 1979 Slowly-varying jump and transition phenomena. SIAM Jl Appl. Math. 37, 69-105.
    • (1979) SIAM Jl Appl. Math. , vol.37 , pp. 69-105
    • Haberman, R.1
  • 8
    • 0027647589 scopus 로고
    • Slow passage through a Hopf bifurcation
    • Holden, L. & Erneux, T. 1993 Slow passage through a Hopf bifurcation. SIAM Jl Appl. Math. 53, 1045-1058.
    • (1993) SIAM Jl Appl. Math. , vol.53 , pp. 1045-1058
    • Holden, L.1    Erneux, T.2
  • 9
    • 0000900558 scopus 로고
    • Bifurcation structure of a nonautonomous quadratic map
    • Kapral, R. & Mandel, P. 1985 Bifurcation structure of a nonautonomous quadratic map. Phys. Rev. A 32, 1076-1081.
    • (1985) Phys. Rev. A , vol.32 , pp. 1076-1081
    • Kapral, R.1    Mandel, P.2
  • 10
    • 0011291344 scopus 로고
    • Slow passage through a steady bifurcation
    • Mandel, P. & Erneux, T. 1987 Slow passage through a steady bifurcation. J. Statist. Phys. 48, 1059-1070.
    • (1987) J. Statist. Phys. , vol.48 , pp. 1059-1070
    • Mandel, P.1    Erneux, T.2
  • 11
    • 0030167803 scopus 로고    scopus 로고
    • Slow passage through a pitchfork bifurcation
    • Marée, G. J. M. 1996 Slow passage through a pitchfork bifurcation. SIAM J. Appl. Math. 56, 889-918.
    • (1996) SIAM J. Appl. Math. , vol.56 , pp. 889-918
    • Marée, G.J.M.1
  • 13
    • 0000881312 scopus 로고
    • Persistance of stability loss for dynamical bifurcations. I
    • Neishtadt, A. J. 1986 Persistance of stability loss for dynamical bifurcations. I. Diff. Equal. 23, 1385-1391.
    • (1986) Diff. Equal. , vol.23 , pp. 1385-1391
    • Neishtadt, A.J.1
  • 14
    • 0000190869 scopus 로고
    • Persistance of stability loss for dynamical bifurcations. II
    • Neishtadt, A. J. 1988 Persistance of stability loss for dynamical bifurcations. II. Diff. Equal. 24, 171-176.
    • (1988) Diff. Equal. , vol.24 , pp. 171-176
    • Neishtadt, A.J.1
  • 15
    • 0030148036 scopus 로고    scopus 로고
    • On the slow transition across instabilities in nonlinear dissipative systems
    • Raman, A., Bajaj, A. K. & Davies, P. 1996 On the slow transition across instabilities in nonlinear dissipative systems. J. Sound Vib. 192, 835-865.
    • (1996) J. Sound Vib. , vol.192 , pp. 835-865
    • Raman, A.1    Bajaj, A.K.2    Davies, P.3
  • 16
    • 85153203159 scopus 로고
    • Periodically perturbed bifurcation. I
    • Rosenblatt, S. & Cohen, D. S. 1980 Periodically perturbed bifurcation. I. Stud. Appl. Math. 63, 1-23.
    • (1980) Stud. Appl. Math. , vol.63 , pp. 1-23
    • Rosenblatt, S.1    Cohen, D.S.2
  • 17
    • 0001315633 scopus 로고
    • Periodically perturbed bifurcation. II
    • Rosenblatt, S. & Cohen, D. S. 1981 Periodically perturbed bifurcation. II. Stud. Appl. Math. 64, 143-175.
    • (1981) Stud. Appl. Math. , vol.64 , pp. 143-175
    • Rosenblatt, S.1    Cohen, D.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.