메뉴 건너뛰기




Volumn 101, Issue 1-2, 1997, Pages 1-16

An efficient QR based method for the computation of Lyapunov exponents

Author keywords

Computation of Lyapunov characteristic exponents; Dynamical systems; Efficient and stable computational method; Error criteria

Indexed keywords


EID: 0002632392     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(96)00216-3     Document Type: Article
Times cited : (188)

References (14)
  • 1
    • 0018989294 scopus 로고
    • Lyapunov characteristic exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them. Parts I and II
    • G. Benettin, L. Galgani, A. Giorgilli and J.M. Strelcyn, Lyapunov characteristic exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them. Parts I and II, Meccanica 15 (1980) 9-30.
    • (1980) Meccanica , vol.15 , pp. 9-30
    • Benettin, G.1    Galgani, L.2    Giorgilli, A.3    Strelcyn, J.M.4
  • 3
    • 0000471425 scopus 로고
    • Comparison of different methods for computing Lyapunov exponents
    • K. Geist, U. Parlitz and W. Lauterborn, Comparison of different methods for computing Lyapunov exponents, Progr. Theoret. Phys. 83 (5) (1990) 875-893.
    • (1990) Progr. Theoret. Phys. , vol.83 , Issue.5 , pp. 875-893
    • Geist, K.1    Parlitz, U.2    Lauterborn, W.3
  • 4
    • 0000672504 scopus 로고
    • A numerical approach to ergodic problem of dissipative dynamical systems
    • I. Shimada and T. Nagashima, A numerical approach to ergodic problem of dissipative dynamical systems, Progr. Theoret. Phys. 61 (1979) 1605-1616.
    • (1979) Progr. Theoret. Phys. , vol.61 , pp. 1605-1616
    • Shimada, I.1    Nagashima, T.2
  • 5
    • 0008494528 scopus 로고
    • Determining Lyapunov exponents from a time series
    • A. Wolf, J. Swift, H. Swinney and J. Vastano, Determining Lyapunov exponents from a time series, Physica D 16 (1985) 285-317.
    • (1985) Physica D , vol.16 , pp. 285-317
    • Wolf, A.1    Swift, J.2    Swinney, H.3    Vastano, J.4
  • 6
    • 35949018382 scopus 로고
    • Ergodic theory of chaos and strange attractors
    • J.P. Eckmann and D. Ruelle, Ergodic theory of chaos and strange attractors, Rev. Modern Phys. 57 (1985) 617-656.
    • (1985) Rev. Modern Phys. , vol.57 , pp. 617-656
    • Eckmann, J.P.1    Ruelle, D.2
  • 7
    • 0000667603 scopus 로고
    • New method for computing Lyapunov exponents
    • G. Barna and A.I. Tsuda, New method for computing Lyapunov exponents, Phys. Lett. A 175 (6) (1993) 421-427.
    • (1993) Phys. Lett. A , vol.175 , Issue.6 , pp. 421-427
    • Barna, G.1    Tsuda, A.I.2
  • 8
    • 0000288315 scopus 로고
    • Computation of a few Lyapunov exponents for continuous and discrete dynamical systems
    • L. Dieci and E. Van Vleck, Computation of a few Lyapunov exponents for continuous and discrete dynamical systems, Appl. Numer. Math. 17 (3) (1995) 275-291.
    • (1995) Appl. Numer. Math. , vol.17 , Issue.3 , pp. 275-291
    • Dieci, L.1    Van Vleck, E.2
  • 9
    • 0000585494 scopus 로고
    • Numerics of Gram-Schmidt orthogonalization
    • Å. Björck, Numerics of Gram-Schmidt orthogonalization, Linear Algebra Appl. 197 (1994) 297-316.
    • (1994) Linear Algebra Appl. , vol.197 , pp. 297-316
    • Björck, Å.1
  • 14
    • 0012031759 scopus 로고
    • Jordan-Elimination und Ausgleichung nach kleinsten Quadraten
    • P. Läuchli, Jordan-Elimination und Ausgleichung nach kleinsten Quadraten, Numer. Math. 3 (1961) 226-240.
    • (1961) Numer. Math. , vol.3 , pp. 226-240
    • Läuchli, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.