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Volumn 29, Issue 1, 1999, Pages 57-71

Invariant tori of dissipatively perturbed Hamiltonian systems under symplectic discretization

Author keywords

Backward error analysis; Hamiltonian perturbation theory; Invariant manifold; Long time approximation; Symplectic numerical integrator; Weakly damped nonlinear oscillations

Indexed keywords

APPROXIMATION THEORY; ERROR ANALYSIS; INTEGRATION; INVARIANCE; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES;

EID: 0032711626     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(98)00029-4     Document Type: Article
Times cited : (20)

References (12)
  • 1
    • 51649160049 scopus 로고
    • A proof of Kolmogorov's theorem on invariant tori using canonical transformations defined by the Lie method
    • G. Benettin, L. Galgani, A. Giorgilli and J.M. Strelcyn, A proof of Kolmogorov's theorem on invariant tori using canonical transformations defined by the Lie method, Nuovo Cimento 79B (1984) 201-223.
    • (1984) Nuovo Cimento , vol.79 B , pp. 201-223
    • Benettin, G.1    Galgani, L.2    Giorgilli, A.3    Strelcyn, J.M.4
  • 2
    • 21344491735 scopus 로고
    • On the Hamiltonian interpolation of near to the identity symplectic mappings with application to symplectic integration algorithms
    • G. Benettin and A. Giorgilli, On the Hamiltonian interpolation of near to the identity symplectic mappings with application to symplectic integration algorithms, J. Statist. Phys. 74 (1994) 1117-1143.
    • (1994) J. Statist. Phys. , vol.74 , pp. 1117-1143
    • Benettin, G.1    Giorgilli, A.2
  • 5
    • 0000566698 scopus 로고
    • Backward analysis of numerical integrators and symplectic methods
    • E. Hairer, Backward analysis of numerical integrators and symplectic methods, Ann. Numer. Math. 1 (1994) 107-132.
    • (1994) Ann. Numer. Math. , vol.1 , pp. 107-132
    • Hairer, E.1
  • 6
    • 0031505057 scopus 로고    scopus 로고
    • The life-span of backward error analysis for numerical integrators
    • E. Hairer and C. Lubich, The life-span of backward error analysis for numerical integrators, Numer. Math. 74 (1997) 441-462.
    • (1997) Numer. Math. , vol.74 , pp. 441-462
    • Hairer, E.1    Lubich, C.2
  • 7
    • 0039585582 scopus 로고
    • On the application of invariant manifold theory, in particular to numerical analysis
    • Birkhäuser, Basel
    • U. Kirchgraber, F. Lasagni, K. Nipp and D. Stoffer, On the application of invariant manifold theory, in particular to numerical analysis, in: International Series of Numerical Mathematics 97 (Birkhäuser, Basel, 1991) 189-197.
    • (1991) International Series of Numerical Mathematics , vol.97 , pp. 189-197
    • Kirchgraber, U.1    Lasagni, F.2    Nipp, K.3    Stoffer, D.4
  • 9
    • 0002945849 scopus 로고
    • Lectures on Hamiltonian systems
    • J. Moser, Lectures on Hamiltonian systems, Mem. Amer. Math. Soc. 81 (1968) 1-60.
    • (1968) Mem. Amer. Math. Soc. , vol.81 , pp. 1-60
    • Moser, J.1
  • 11
    • 0000677073 scopus 로고
    • KAM tori are very sticky: Rigorous lower bounds on the time to move away from an invariant Lagrangian torus with linear flow
    • A.D. Perry and S. Wiggins, KAM tori are very sticky: rigorous lower bounds on the time to move away from an invariant Lagrangian torus with linear flow, Physica D 17 (1994) 102-121.
    • (1994) Physica D , vol.17 , pp. 102-121
    • Perry, A.D.1    Wiggins, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.