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Volumn 211, Issue 1-2, 2005, Pages 47-56

Another look at the saddle-centre bifurcation: Vanishing twist

Author keywords

Elliptic integrals; Hamiltonian systems; KAM; Normal forms; Saddle centre bifurcation; Twist maps

Indexed keywords

HAMILTONIANS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS;

EID: 27144459862     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2005.07.019     Document Type: Article
Times cited : (12)

References (21)
  • 2
    • 22244493297 scopus 로고    scopus 로고
    • Area preserving nontwist maps: Periodic orbits and transition to chaos
    • D. del Castillo-Negrette, J.M. Greene, and P.J. Morrison Area preserving nontwist maps: periodic orbits and transition to chaos Physica D 91 1 1996 1 23
    • (1996) Physica D , vol.91 , Issue.1 , pp. 1-23
    • Del Castillo-Negrette, D.1    Greene, J.M.2    Morrison, P.J.3
  • 3
    • 0010294123 scopus 로고    scopus 로고
    • Renormalization and transition to chaos in area preserving nontwist maps
    • D. del Castillo-Negrette, J.M. Greene, and P.J. Morrison Renormalization and transition to chaos in area preserving nontwist maps Physica D 100 3-4 1997 311 329
    • (1997) Physica D , vol.100 , Issue.3-4 , pp. 311-329
    • Del Castillo-Negrette, D.1    Greene, J.M.2    Morrison, P.J.3
  • 4
    • 0034347544 scopus 로고    scopus 로고
    • KAM theory and a partial justification of Greene's criterion for nontwist maps
    • A. Delshams, and R. de la Llave KAM theory and a partial justification of Greene's criterion for nontwist maps SIAM J. Math. Anal. 31 6 2000 1235 1269 (electronic)
    • (2000) SIAM J. Math. Anal. , vol.31 , Issue.6 , pp. 1235-1269
    • Delshams, A.1    De La Llave, R.2
  • 5
    • 0036467598 scopus 로고    scopus 로고
    • Slow passage through homoclinic orbits for the unfolding of a saddle-center bifurcation and the change in the adiabatic invariant
    • D.C. Diminnie, and R. Haberman Slow passage through homoclinic orbits for the unfolding of a saddle-center bifurcation and the change in the adiabatic invariant Physica D 162 1-2 2002 34 52
    • (2002) Physica D , vol.162 , Issue.1-2 , pp. 34-52
    • Diminnie, D.C.1    Haberman, R.2
  • 6
    • 27144465118 scopus 로고    scopus 로고
    • Twistless tori near low order resonance
    • V.F. Lazutkin St. Petersburg Petersburg Department of Steklov Institute
    • H.R. Dullin, A.V. Ivanov, Twistless tori near low order resonance, in: V.F. Lazutkin, Workshop on Differential Equations, St. Petersburg, 2002, pp. 135-144. Petersburg Department of Steklov Institute, 2003;
    • (2002) Workshop on Differential Equations , pp. 135-144
    • Dullin, H.R.1    Ivanov, A.V.2
  • 8
    • 21544462301 scopus 로고    scopus 로고
    • J. Math. Sci. 128 (2005) 2754-2760.
    • (2005) J. Math. Sci. , vol.128 , pp. 2754-2760
  • 9
    • 13244277750 scopus 로고    scopus 로고
    • Vanishing twist in the Hamiltonian Hopf bifurcation
    • H.R. Dullin, and A.V. Ivanov Vanishing twist in the Hamiltonian Hopf bifurcation Physica D 201 2005 27 44
    • (2005) Physica D , vol.201 , pp. 27-44
    • Dullin, H.R.1    Ivanov, A.V.2
  • 10
    • 0037356857 scopus 로고    scopus 로고
    • Twist singularities for symplectic maps
    • H.R. Dullin, and J.D. Meiss Twist singularities for symplectic maps Chaos 13 1 2003 1 16
    • (2003) Chaos , vol.13 , Issue.1 , pp. 1-16
    • Dullin, H.R.1    Meiss, J.D.2
  • 12
    • 0000487384 scopus 로고
    • Nonmonotonic twist maps
    • J.E. Howard, and J. Humpherys Nonmonotonic twist maps Physica D 80 3 1995 256 276
    • (1995) Physica D , vol.80 , Issue.3 , pp. 256-276
    • Howard, J.E.1    Humpherys, J.2
  • 13
    • 0001618111 scopus 로고
    • Stochasticity and reconnection in hamiltonian systems
    • J.E. Howard, and S.M. Hohs Stochasticity and reconnection in hamiltonian systems Phys. Rev. A 29 1984 418
    • (1984) Phys. Rev. A , vol.29 , pp. 418
    • Howard, J.E.1    Hohs, S.M.2
  • 15
    • 84972004536 scopus 로고
    • Generic bifurcations of the twist coefficient
    • R. Moeckel Generic bifurcations of the twist coefficient Ergodic Theory Dynam. Syst. 10 1 1990 185 195
    • (1990) Ergodic Theory Dynam. Syst. , vol.10 , Issue.1 , pp. 185-195
    • Moeckel, R.1
  • 16
    • 0035589590 scopus 로고    scopus 로고
    • Nontwist area preserving maps with reversing symmetry group
    • E. Petrisor Nontwist area preserving maps with reversing symmetry group Int. J. Bifur. Chaos 11 2 2001 497 511
    • (2001) Int. J. Bifur. Chaos , vol.11 , Issue.2 , pp. 497-511
    • Petrisor, E.1
  • 17
    • 0001597114 scopus 로고    scopus 로고
    • Bifurcation of the periodic orbits of hamiltonian systems: An analysis using normal form theory
    • D.A. Sadovskii, and J.B. Delos Bifurcation of the periodic orbits of hamiltonian systems: an analysis using normal form theory Phys. Rev. E 54 1996 2033 2070
    • (1996) Phys. Rev. E , vol.54 , pp. 2033-2070
    • Sadovskii, D.A.1    Delos, J.B.2
  • 19
    • 54649083821 scopus 로고    scopus 로고
    • Invariant curves of analytic perturbed nontwist area preserving maps
    • C. Simó Invariant curves of analytic perturbed nontwist area preserving maps Regular Chaotic Dynam. 3 1998 180 195
    • (1998) Regular Chaotic Dynam. , vol.3 , pp. 180-195
    • Simó, C.1
  • 20
    • 0002070251 scopus 로고
    • The birth process of periodic orbits in nontwist maps
    • J.P. Van der Weele, and T.P. Valkering The birth process of periodic orbits in nontwist maps Physica A 169 1 1990 42 72
    • (1990) Physica A , vol.169 , Issue.1 , pp. 42-72
    • Van Der Weele, J.P.1    Valkering, T.P.2
  • 21
    • 31144436606 scopus 로고    scopus 로고
    • Meanders and reconnection-collision sequences in the standard nontwist map
    • A. Wurm, A. Apte, K. Fuchss, P.J. Morrison, Meanders and reconnection-collision sequences in the standard nontwist map. Chaos 15 (2005) 023108 (13 pp.).
    • (2005) Chaos , vol.15 , pp. 023108
    • Wurm, A.1    Apte, A.2    Fuchss, K.3    Morrison, P.J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.