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Discrete and Continuous Dynamical Systems
Volumn 8, Issue 3, 2002, Pages 633-646
On the renormalization of Hamiltonian flows, and critical invariant tori
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[No Author keywords available]
Indexed keywords

EID: 0036014246     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2002.8.633     Document Type: Article
Times cited : (28)
References (15)
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    • Abad, J.J.1    Koch, H.2
  • 2
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    • (1998) Nonlinearity , vol.11 , pp. 1185-1194
    • Abad, J.J.1    Koch, H.2    Wittwer, P.3
  • 3
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    • KAM-renormalization group analysis of stability in Hamiltonian flows
    • M. Govin, C. Chandre, and H.R. Jauslin, KAM-Renormalization Group Analysis of Stability in Hamiltonian Flows, Phys. Rev. Lett. 79 (1997), 3881-3884.
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 3881-3884
    • Govin, M.1    Chandre, C.2    Jauslin, H.R.3
  • 4
    • 0001582465 scopus 로고    scopus 로고
    • Universality for the breakup of invariant tori in Hamiltonian flows
    • C. Chandre, M. Govin, H.R. Jauslin, and H. Koch, Universality for the Breakup of Invariant Tori in Hamiltonian Flows, Phys. Rev. E 57 (1998), 6612-6617.
    • (1998) Phys. Rev. E , vol.57 , pp. 6612-6617
    • Chandre, C.1    Govin, M.2    Jauslin, H.R.3    Koch, H.4
  • 5
    • 0034706513 scopus 로고    scopus 로고
    • Approximate renormalization with codimension-one fixed point for the break-up of some three-frequency tori
    • C. Chandre and R.S. MacKay, Approximate renormalization with codimension-one fixed point for the break-up of some three-frequency tori, Phys. Lett. A 275 (2000), 394-400.
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    • Chandre, C.1    MacKay, R.S.2
  • 6
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    • Renormalisation method for computing the threshold of the large scale Stochastic instability in two degree of freedom Hamiltonian systems
    • F. Doveil and D.F. Escande, Renormalisation Method for Computing the Thr-eshold of the Large Scale Stochastic Instability in Two Degree of Freedom Hamiltonian Systems, J. Stat. Phys. 26 (1981), 257-284.
    • (1981) J. Stat. Phys. , vol.26 , pp. 257-284
    • Doveil, F.1    Escande, D.F.2
  • 7
    • 0000535863 scopus 로고
    • Destruction of KAM tori in Hamiltonian systems: Link with the destabilization of nearby cycles and calculation of residues
    • D.F. Escande and A. Mehr, Destruction of KAM Tori in Hamiltonian Systems: Link with the Destabilization of nearby Cycles and Calculation of Residues, Physica 13D (1984), 302-338.
    • (1984) Physica , vol.13 D , pp. 302-338
    • Escande, D.F.1    Mehr, A.2
  • 8
    • 0000272187 scopus 로고
    • Scaling for a critical Kolmogorov-Arnold-Moser trajectory
    • L.P. Kadanoff, Scaling for a critical Kolmogorov-Arnold-Moser trajectory, Phys. Rev. Lett. 47 (1981), 1641-1643.
    • (1981) Phys. Rev. Lett. , vol.47 , pp. 1641-1643
    • Kadanoff, L.P.1
  • 9
    • 0000296339 scopus 로고
    • Critical behavior of a KAM surface. I. Empirical results
    • L.P. Kadanoff and S.J. Shenker, Critical behavior of a KAM surface. I. Empirical results, J. Stat. Phys. 27 (1982), 631-656.
    • (1982) J. Stat. Phys. , vol.27 , pp. 631-656
    • Kadanoff, L.P.1    Shenker, S.J.2
  • 10
    • 0033414175 scopus 로고    scopus 로고
    • A renormalization croup for Hamiltonians, with applications to KAM tori
    • H. Koch, A Renormalization Croup for Hamiltonians, with Applications to KAM Tori, Erg. Theor. Dyn. Syst. 19 (1999), 1-47.
    • (1999) Erg. Theor. Dyn. Syst. , vol.19 , pp. 1-47
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  • 11
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    • work in progress
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  • 14
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    • An approximate renormalization for the break-up of invariant tori with three frequencies
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    • (1994) Phys. Lett. A , vol.190 , pp. 417-424
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  • 15
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    • Towards an existence proof of Mackay's fixed point
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    • (1997) Comm. Math. Phys. , vol.188 , pp. 723-735
    • Stirnemann, A.1

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