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Volumn 14, Issue 1-3, 1997, Pages 79-102

Lyapunov-type numbers and torus breakdown: Numerical aspects and a case study

Author keywords

Coupled oscillator; Invariant tori; Lyapunov type numbers; Phase locking

Indexed keywords


EID: 0031508778     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1019100627272     Document Type: Article
Times cited : (13)

References (12)
  • 1
    • 45949119553 scopus 로고
    • An analytical and numerical study of the bifurcations in a system of linearly coupled oscillators
    • D. G. Aronson, E. J. Doedel and H. G. Othmer, An analytical and numerical study of the bifurcations in a system of linearly coupled oscillators, Physica D 25 (1987) 20-104.
    • (1987) Physica D , vol.25 , pp. 20-104
    • Aronson, D.G.1    Doedel, E.J.2    Othmer, H.G.3
  • 3
    • 0000337924 scopus 로고
    • Solution of the systems associated to invariant tori approximation. II: Multigrid methods
    • L. Dieci and G. Bader, Solution of the systems associated to invariant tori approximation. II: Multigrid methods, SIAM Journal Scientific and Statistical Computing 15 (1994) 1375-1400.
    • (1994) SIAM Journal Scientific and Statistical Computing , vol.15 , pp. 1375-1400
    • Dieci, L.1    Bader, G.2
  • 4
    • 0000233666 scopus 로고
    • Computation of invariant tori by the method of characteristics
    • L. Dieci and J. Lorenz, Computation of invariant tori by the method of characteristics, SIAM Journal Numerical Analysis 32 (1995) 1436-1474.
    • (1995) SIAM Journal Numerical Analysis , vol.32 , pp. 1436-1474
    • Dieci, L.1    Lorenz, J.2
  • 6
    • 0001356311 scopus 로고
    • Persistence and smoothness of invariant manifolds for flows
    • N. Fenichel, Persistence and smoothness of invariant manifolds for flows, Indiana Univ. Math. J. 21 (1971) 193-226.
    • (1971) Indiana Univ. Math. J. , vol.21 , pp. 193-226
    • Fenichel, N.1
  • 9
    • 0001159401 scopus 로고
    • Subadditive ergodic theory
    • J. F. Kingman, Subadditive ergodic theory, Annals of Probability 1 (1973) 889-909.
    • (1973) Annals of Probability , vol.1 , pp. 889-909
    • Kingman, J.F.1
  • 10
    • 0001049214 scopus 로고    scopus 로고
    • Computation and parametrisation of invariant curves and tori
    • to appear in
    • G. Moore, Computation and parametrisation of invariant curves and tori, to appear in SIAM J. Numer. Anal. (1996).
    • (1996) SIAM J. Numer. Anal.
    • Moore, G.1
  • 12
    • 0041581578 scopus 로고
    • Adaptive data distribution for concurrent continuation
    • E. Van de Velde and J. Lorenz, Adaptive data distribution for concurrent continuation, Numer. Math. 62 (1992) 269-294.
    • (1992) Numer. Math. , vol.62 , pp. 269-294
    • Van De Velde, E.1    Lorenz, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.