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Volumn 175, Issue 1-2, 2003, Pages 31-42

Symmetric invariant manifolds in the Fermi-Pasta-Ulam lattice

Author keywords

FPU lattice; Hamiltonian mechanics; Invariant manifolds; Symmetry

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; DEGREES OF FREEDOM (MECHANICS); HAMILTONIANS; THERMODYNAMICS;

EID: 0037437722     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(02)00694-2     Document Type: Article
Times cited : (48)

References (19)
  • 3
    • 0012193601 scopus 로고
    • Nonlinear coupled oscillators: Modal equation approach
    • Bivins R.L., Metropolis N., Pasta J.P., Nonlinear coupled oscillators: modal equation approach. J. Comput. Phys. 12:1973;65-87.
    • (1973) J. Comput. Phys. , vol.12 , pp. 65-87
    • Bivins, R.L.1    Metropolis, N.2    Pasta, J.P.3
  • 4
    • 48749142942 scopus 로고
    • Stability of nonlinear modes and chaotic properties of 1D Fermi-Pasta-Ulam lattices
    • Budinsky N., Bountis T., Stability of nonlinear modes and chaotic properties of 1D Fermi-Pasta-Ulam lattices. Physica D. 8(3):1983;445-452.
    • (1983) Physica D , vol.8 , Issue.3 , pp. 445-452
    • Budinsky, N.1    Bountis, T.2
  • 5
    • 0037097925 scopus 로고    scopus 로고
    • Bushes of vibrational modes for Fermi-Pasta-Ulam chains
    • Chechin G.M., Novikova N.V., Abramenko A.A., Bushes of vibrational modes for Fermi-Pasta-Ulam chains. Physica D. 166(3-4):2002;208-238.
    • (2002) Physica D , vol.166 , Issue.3-4 , pp. 208-238
    • Chechin, G.M.1    Novikova, N.V.2    Abramenko, A.A.3
  • 6
    • 0002831929 scopus 로고    scopus 로고
    • Interactions between normal modes in nonlinear dynamical systems with discrete symmetry, exact results
    • Chechin G.M., Sakhnenko V.P., Interactions between normal modes in nonlinear dynamical systems with discrete symmetry, Exact results. Physica D. 117(1-4):1998;43-76.
    • (1998) Physica D , vol.117 , Issue.1-4 , pp. 43-76
    • Chechin, G.M.1    Sakhnenko, V.P.2
  • 7
    • 0000595654 scopus 로고
    • E. Fermi, Collected Papers 2
    • E. Fermi, J. Pasta, S. Ulam, Los Alamos Report LA-1940, E. Fermi, Collected Papers 2, 1955, pp. 977-988.
    • (1955) Los Alamos Report , vol.LA-1940 , pp. 977-988
    • Fermi, E.1    Pasta, J.2    Ulam, S.3
  • 8
    • 0347371015 scopus 로고
    • The Fermi-Pasta-Ulam problem: Paradox turns discovery
    • Ford J., The Fermi-Pasta-Ulam problem: paradox turns discovery. Phys. Rep. 213(5):1992;271-310.
    • (1992) Phys. Rep. , vol.213 , Issue.5 , pp. 271-310
    • Ford, J.1
  • 9
    • 0002980692 scopus 로고
    • Statistical properties of a nonlinear string
    • Izrailev F.M., Chirikov B.V., Statistical properties of a nonlinear string. Sov. Phys. Dokl. 11:1966;30-32.
    • (1966) Sov. Phys. Dokl. , vol.11 , pp. 30-32
    • Izrailev, F.M.1    Chirikov, B.V.2
  • 12
    • 0002781295 scopus 로고
    • A note on an existence of conditionally periodic oscillation in a one-dimensional anharmonic lattice
    • Nishida T., A note on an existence of conditionally periodic oscillation in a one-dimensional anharmonic lattice. Mem. Fac. Eng. Kyoto Univ. 33:1971;27-34.
    • (1971) Mem. Fac. Eng. Kyoto Univ. , vol.33 , pp. 27-34
    • Nishida, T.1
  • 13
    • 0000325150 scopus 로고    scopus 로고
    • Exact solutions in the FPU oscillator chain
    • P. Poggi, S. Ruffo, Exact solutions in the FPU oscillator chain, Physica D 103 (1-4) (1997) 251-272; Lattice dynamics (Paris, 1995).
    • (1997) Physica D , vol.103 , Issue.1-4 , pp. 251-272
    • Poggi, P.1    Ruffo, S.2
  • 14
    • 0000325150 scopus 로고    scopus 로고
    • Paris
    • P. Poggi, S. Ruffo, Exact solutions in the FPU oscillator chain, Physica D 103 (1-4) (1997) 251-272; Lattice dynamics (Paris, 1995).
    • (1995) Lattice dynamics
  • 15
    • 0035531312 scopus 로고    scopus 로고
    • Symmetry and resonance in periodic FPU chains
    • Rink B., Symmetry and resonance in periodic FPU chains. Commun. Math. Phys. 218(3):2001;665-685.
    • (2001) Commun. Math. Phys. , vol.218 , Issue.3 , pp. 665-685
    • Rink, B.1
  • 16
    • 84988147500 scopus 로고
    • The Galerkin-averaging method for nonlinear, undamped continuous systems
    • Stroucken A.C.J., Verhulst F., The Galerkin-averaging method for nonlinear, undamped continuous systems. Math. Meth. Appl. Sci. 9(4):1987;520-549.
    • (1987) Math. Meth. Appl. Sci. , vol.9 , Issue.4 , pp. 520-549
    • Stroucken, A.C.J.1    Verhulst, F.2
  • 17
    • 0012112369 scopus 로고    scopus 로고
    • On averaging methods in partial differential equations
    • A. Degasperis, G. Gaeta (Eds.), World Scientific, Singapore
    • F. Verhulst, On averaging methods in partial differential equations, in: A. Degasperis, G. Gaeta (Eds.), SPT98-Symmetry and Perturbation Theory, vol. II, World Scientific, Singapore, 1999, pp. 79-95.
    • (1999) SPT98-Symmetry and Perturbation Theory , vol.2 , pp. 79-95
    • Verhulst, F.1
  • 19
    • 33846361348 scopus 로고
    • Interaction of solitons in a collisionless plasma and the recurrence of initial states
    • Zabuski N.J., Kruskal M.D., Interaction of solitons in a collisionless plasma and the recurrence of initial states. Phys. Rev. Lett. 15:1965;240-243.
    • (1965) Phys. Rev. Lett. , vol.15 , pp. 240-243
    • Zabuski, N.J.1    Kruskal, M.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.