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Volumn 11, Issue 15, 2000, Pages 2443-2451

Estimation of the largest Lyapunov exponent in systems with impacts

Author keywords

[No Author keywords available]

Indexed keywords

ESTIMATION; LYAPUNOV METHODS; OSCILLATORS (MECHANICAL); SYNCHRONIZATION;

EID: 0034559501     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0960-0779(00)00029-1     Document Type: Article
Times cited : (120)

References (9)
  • 1
    • 0000543733 scopus 로고
    • A multiplicative ergodic theorem: Lyapunov characteristic numbers for dynamical systems
    • Oseledec VI. A multiplicative ergodic theorem: Lyapunov characteristic numbers for dynamical systems. Trans Moscow Math Soc 1968;19:197-231.
    • (1968) Trans Moscow Math Soc , vol.19 , pp. 197-231
    • Oseledec, V.I.1
  • 2
    • 0018989294 scopus 로고
    • Lyapunov exponents for smooth dynamical systems and Hamiltonian systems; a method for computing all of them, Part I: Theory
    • Benettin G, Galgani L, Giorgilli A, Strelcyn JM. Lyapunov exponents for smooth dynamical systems and Hamiltonian systems; a method for computing all of them, Part I: Theory. Meccanica 1980;15:9-20.
    • (1980) Meccanica , vol.15 , pp. 9-20
    • Benettin, G.1    Galgani, L.2    Giorgilli, A.3    Strelcyn, J.M.4
  • 3
    • 0018992908 scopus 로고
    • Lyapunov exponents for smooth dynamical systems and Hamiltonian systems; a method for computing all of them, Part II: Numerical application
    • Benettin G, Galgani L, Giorgilli A, Strelcyn JM. Lyapunov exponents for smooth dynamical systems and Hamiltonian systems; a method for computing all of them, Part II: Numerical application. Meccanica 1980;15:21-30.
    • (1980) Meccanica , vol.15 , pp. 21-30
    • Benettin, G.1    Galgani, L.2    Giorgilli, A.3    Strelcyn, J.M.4
  • 4
    • 0008494528 scopus 로고
    • Determining Lyapunov exponents from a time series
    • Wolf JB, Swift HL, Swinney, Vastano JA. Determining Lyapunov exponents from a time series. Physica D 1985;16:285-317.
    • (1985) Physica D , vol.16 , pp. 285-317
    • Wolf, J.B.1    Swift, H.L.2    Swinney3    Vastano, J.A.4
  • 5
    • 0000442708 scopus 로고
    • Calculation of Lyapunov exponents for dynamical systems with discontinuities
    • Müller P. Calculation of Lyapunov exponents for dynamical systems with discontinuities. Chaos, Solitons & Fractals 1995;5(9):1671-81.
    • (1995) Chaos, Solitons & Fractals , vol.5 , Issue.9 , pp. 1671-1681
    • Müller, P.1
  • 6
    • 0002256723 scopus 로고
    • Stability theory of synchronized motion in coupled-oscillator systems
    • Fujisaka H, Yamada T. Stability theory of synchronized motion in coupled-oscillator systems. Prog Theor Phys 1983;69(1):32-47.
    • (1983) Prog Theor Phys , vol.69 , Issue.1 , pp. 32-47
    • Fujisaka, H.1    Yamada, T.2
  • 9
    • 0000960061 scopus 로고    scopus 로고
    • Using chaos synchronization to estimate the largest Lyapunov exponent of non-smooth systems
    • in press
    • Stefański A, Kapitaniak T. Using chaos synchronization to estimate the largest Lyapunov exponent of non-smooth systems, Discrete Dynamics in Nature & Society (in press).
    • Discrete Dynamics in Nature & Society
    • Stefański, A.1    Kapitaniak, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.