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Volumn 13, Issue 1, 2000, Pages 299-308

Resonant and Diophantine step sizes in computing invariant tori of Hamiltonian systems

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EID: 0033628310     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/13/1/314     Document Type: Article
Times cited : (22)

References (13)
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    • On the Hamiltonian interpolation of near to the identity symplectic mappings with application to symplectic integration algorithms
    • Benettin G and Giorgilli A 1994 On the Hamiltonian interpolation of near to the identity symplectic mappings with application to symplectic integration algorithms J. Statist. Phys. 74 1117-43
    • (1994) J. Statist. Phys. , vol.74 , pp. 1117-1143
    • Benettin, G.1    Giorgilli, A.2
  • 2
    • 0001715056 scopus 로고
    • The Hamiltonian way for computing Hamiltonian dynamics
    • ed R Spigler (Dordrecht: Kluwer)
    • Feng K 1991 The Hamiltonian way for computing Hamiltonian dynamics Applied and Industrial Mathematics ed R Spigler (Dordrecht: Kluwer) pp 17-35
    • (1991) Applied and Industrial Mathematics , pp. 17-35
    • Feng, K.1
  • 3
    • 0001914640 scopus 로고
    • How to compute properly Newton's equation of motion
    • ed L A Ying and B Y Guo (Singapore: World Scientific)
    • Feng K 1992 How to compute properly Newton's equation of motion Proc. 2nd Conf. on Numerical Methods for Partial Differential Equations ed L A Ying and B Y Guo (Singapore: World Scientific) pp 15-22
    • (1992) Proc. 2nd Conf. on Numerical Methods for Partial Differential Equations , pp. 15-22
    • Feng, K.1
  • 4
    • 0000566698 scopus 로고
    • Backward error analysis of numerical integrators and symplectic methods
    • Hairer E 1994 Backward error analysis of numerical integrators and symplectic methods Ann. Numer. Math. 1 107-32
    • (1994) Ann. Numer. Math. , vol.1 , pp. 107-132
    • Hairer, E.1
  • 5
    • 0031505057 scopus 로고    scopus 로고
    • The life-span of backward error analysis for numerical integrators
    • Hairer E and Lubich Ch 1997 The life-span of backward error analysis for numerical integrators Numer. Math. 76 441-62
    • (1997) Numer. Math. , vol.76 , pp. 441-462
    • Hairer, E.1    Lubich, Ch.2
  • 8
    • 0000006565 scopus 로고
    • Destruction of invariant circles
    • Mather J 1988 Destruction of invariant circles Ergodic Theory Dynam. Syst. 8 199-214
    • (1988) Ergodic Theory Dynam. Syst. , vol.8 , pp. 199-214
    • Mather, J.1
  • 10
    • 0033442053 scopus 로고    scopus 로고
    • KAM theorem of symplectic algorithms for Hamiltonian systems
    • Shang Z-J 1999 KAM theorem of symplectic algorithms for Hamiltonian systems Numer. Math. 83 477-96
    • (1999) Numer. Math. , vol.83 , pp. 477-496
    • Shang, Z.-J.1
  • 12
    • 0001236679 scopus 로고    scopus 로고
    • On the qualitative behaviour of symplectic integrators. Part II. Integrable systems
    • Stoffer D 1998 On the qualitative behaviour of symplectic integrators. Part II. Integrable systems J. Math. Anal. Appl. 217 501-20
    • (1998) J. Math. Anal. Appl. , vol.217 , pp. 501-520
    • Stoffer, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.