메뉴 건너뛰기




Volumn 78, Issue 1-4, 2000, Pages 167-195

On the structure of symplectic mappings. The fast Lyapunov indicator: A very sensitive tool

Author keywords

Chaos; Chirikov; Nekhoroshev; Numerical tools

Indexed keywords


EID: 0008488784     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1011141018230     Document Type: Article
Times cited : (150)

References (18)
  • 1
    • 0018989294 scopus 로고
    • Lyapunov characteristic exponents for smooth dynamical systems; a method for computing all of them
    • theory, Part 2: Numerical applications, -21-30
    • Benettin, G., Galgani, L., Giorgilli, A. and Strelcyn, J. M.: 1980, 'Lyapunov characteristic exponents for smooth dynamical systems; a method for computing all of them', Meccanica 15, Part I, theory, 9-20 - Part 2: Numerical applications, -21-30.
    • (1980) Meccanica , vol.15 , Issue.1 PART , pp. 9-20
    • Benettin, G.1    Galgani, L.2    Giorgilli, A.3    Strelcyn, J.M.4
  • 2
    • 0002406432 scopus 로고    scopus 로고
    • A fast method for distinguishing between order and chaotic orbits
    • Contopoulos, G. and Voglis, N.: 1997, 'A fast method for distinguishing between order and chaotic orbits', Astr. Astrophys. 317, 73-82.
    • (1997) Astr. Astrophys. , vol.317 , pp. 73-82
    • Contopoulos, G.1    Voglis, N.2
  • 3
    • 0002320989 scopus 로고
    • A numerical study of the stochasticity of dynamical systems with two degrees of freedom
    • Froeschlé, C.: 1970, 'A numerical study of the stochasticity of dynamical systems with two degrees of freedom', Astr. Astrophys. 9, 15-23.
    • (1970) Astr. Astrophys. , vol.9 , pp. 15-23
    • Froeschlé, C.1
  • 4
    • 0000505572 scopus 로고
    • On the number of isolating integrals in systems with three degrees of freedom
    • Froeschlé, C.: 1971, 'On the number of isolating integrals in systems with three degrees of freedom', Astrophys. Space Sci. 14, 110.
    • (1971) Astrophys. Space Sci. , vol.14 , pp. 110
    • Froeschlé, C.1
  • 5
    • 0000015688 scopus 로고
    • Numerical study of a four-dimensional mapping
    • Froeschlé, C.: 1972, 'Numerical study of a four-dimensional mapping', Astr. Astrophys. 16, 172.
    • (1972) Astr. Astrophys. , vol.16 , pp. 172
    • Froeschlé, C.1
  • 6
    • 0002199811 scopus 로고
    • The Lyapunov characteristic exponents and applications
    • Numero spécial
    • Froeschlé, C.: 1984, 'The Lyapunov characteristic exponents and applications', J. de Mec. théor. et appl. Numero spécial, 101-132.
    • (1984) J. de Mec. Théor. et Appl , pp. 101-132
    • Froeschlé, C.1
  • 7
    • 51249181044 scopus 로고
    • Lyapunov characteristic numbers and Kolmogorov entropy of a four-dimensional mapping
    • Froeschlé, C. and Gonczi, R.: 1980, 'Lyapunov characteristic numbers and Kolmogorov entropy of a four-dimensional mapping', Il Nuovo Cimento 55B, 59-69.
    • (1980) Il Nuovo Cimento , vol.55 B , pp. 59-69
    • Froeschlé, C.1    Gonczi, R.2
  • 8
    • 0007730576 scopus 로고    scopus 로고
    • Twist angles: A fast method for distinguishing islands, tori and weak chaotic orbits. Comparison with other methods of analysis
    • Froeschlé, C. and Lega, E.: 1998, 'Twist angles: a fast method for distinguishing islands, tori and weak chaotic orbits. Comparison with other methods of analysis', Astr. Astrophys. 334, 355-362.
    • (1998) Astr. Astrophys. , vol.334 , pp. 355-362
    • Froeschlé, C.1    Lega, E.2
  • 10
    • 0007780361 scopus 로고    scopus 로고
    • On the measure of the structure around the last KAM torus before and after its break-up
    • Froeschlé, C. and Lega, E.: 1996, 'On the measure of the structure around the last KAM torus before and after its break-up', Celest. Mech. & Dyn. Astr. 64, 21-31.
    • (1996) Celest. Mech. & Dyn. Astr. , vol.64 , pp. 21-31
    • Froeschlé, C.1    Lega, E.2
  • 11
    • 0002443585 scopus 로고    scopus 로고
    • Fast Lyapunov indicators. Application to asteroidal motion
    • Froeschlé, C., Lega, E. and Gonczi, R.: 1997, 'Fast Lyapunov indicators. Application to asteroidal motion', Celest. Mech. & Dyn. Astr. 67, 41-62.
    • (1997) Celest. Mech. & Dyn. Astr. , vol.67 , pp. 41-62
    • Froeschlé, C.1    Lega, E.2    Gonczi, R.3
  • 12
    • 0141558022 scopus 로고    scopus 로고
    • On the numerical detection of the stability of chaotic motions in quasi-integrable systems
    • submitted
    • Guzzo, M., Lega, E. and Froeschlé, C.: 2001, 'On the numerical detection of the stability of chaotic motions in quasi-integrable systems', Physica D (submitted).
    • (2001) Physica D
    • Guzzo, M.1    Lega, E.2    Froeschlé, C.3
  • 13
    • 43949162797 scopus 로고
    • Frequency analysis for multi-dimensional systems. Global dynamics and diffusion
    • Laskar, J.: 1993, 'Frequency analysis for multi-dimensional systems. Global dynamics and diffusion', Physica D 67, 257-281.
    • (1993) Physica D , vol.67 , pp. 257-281
    • Laskar, J.1
  • 14
    • 0002536461 scopus 로고
    • Large scale chaos in the solar system
    • Laskar, J.: 1994, 'Large scale chaos in the solar system', Astr. Astrophys. 287, L9-L12.
    • (1994) Astr. Astrophys. , vol.287
    • Laskar, J.1
  • 15
    • 34247189093 scopus 로고
    • The measure of chaos by the numerical analysis of the fundamental frequencies. Application to the standard mapping
    • Laskar, J., Froeschlé, C. and Celletti, A.: 1992, 'The measure of chaos by the numerical analysis of the fundamental frequencies. Application to the standard mapping', Physica D 56, 253.
    • (1992) Physica D , vol.56 , pp. 253
    • Laskar, J.1    Froeschlé, C.2    Celletti, A.3
  • 16
    • 0008470085 scopus 로고    scopus 로고
    • Fast Lyapunov Indicators. Comparison with other chaos indicators. Application to two and four dimensional maps
    • J. Henrard and R. Dvorak (eds), Kluwer Academic publisher
    • Lega, E. and Froeschlé, C.: 1997, 'Fast Lyapunov Indicators. Comparison with other chaos indicators. Application to two and four dimensional maps', in: J. Henrard and R. Dvorak (eds), The Dynamical Behaviour of our Planetary System., Kluwer Academic publisher.
    • (1997) The Dynamical Behaviour of Our Planetary System
    • Lega, E.1    Froeschlé, C.2
  • 17
    • 0009281233 scopus 로고    scopus 로고
    • Numerical investigations of the structure around an invariant KAM torus using the frequency map analysis
    • Lega, E. and Froeschlé, C.: 1996, 'Numerical investigations of the structure around an invariant KAM torus using the frequency map analysis', Physica D 95, 97-106.
    • (1996) Physica D , vol.95 , pp. 97-106
    • Lega, E.1    Froeschlé, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.