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Volumn 355, Issue 1732, 1997, Pages 2077-2081

Localization and solitary waves in solid mechanics

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EID: 3142589149     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.1997.0110     Document Type: Article
Times cited : (26)

References (19)
  • 1
    • 0002004721 scopus 로고
    • Solitons, nonlinear evolution equations and inverse scattering
    • Cambridge University Press
    • Ablowitz, M. & Clarkson, P. 1991 Solitons, nonlinear evolution equations and inverse scattering. London Mathematical Society Lecture Notes, p. 149. Cambridge University Press.
    • (1991) London Mathematical Society Lecture Notes , pp. 149
    • Ablowitz, M.1    Clarkson, P.2
  • 2
    • 0001340513 scopus 로고
    • The numerical computation of connecting orbits in dynamical systems
    • Beyn, W.-J. 1990 The numerical computation of connecting orbits in dynamical systems. IMA J. Numer. Analysis 9, 379-405.
    • (1990) IMA J. Numer. Analysis , vol.9 , pp. 379-405
    • Beyn, W.-J.1
  • 3
    • 0029656885 scopus 로고    scopus 로고
    • A plethora of solitary gravity-capillary water waves with nearly critical bond and froude numbers
    • Buffoni, B., Groves, M. & Toland, J. 1996 A plethora of solitary gravity-capillary water waves with nearly critical bond and froude numbers. Phil. Trans. R. Soc. Lond. A 354, 575-607.
    • (1996) Phil. Trans. R. Soc. Lond. A , vol.354 , pp. 575-607
    • Buffoni, B.1    Groves, M.2    Toland, J.3
  • 4
    • 0001655858 scopus 로고
    • Stability criterion for stationary bound states of solitons with radiationless oscillating tails
    • Buryak, A. & Akhmediev, N. 1995 Stability criterion for stationary bound states of solitons with radiationless oscillating tails. Phys. Rev. E 51, 3572-3578.
    • (1995) Phys. Rev. E , vol.51 , pp. 3572-3578
    • Buryak, A.1    Akhmediev, N.2
  • 5
    • 85020816495 scopus 로고    scopus 로고
    • Homoclinic orbits in reversible systems and their applications in fluids, mechanics and optics
    • submitted to Proc. Workshop on Reversing Symmetries in Dynamical Systems, Warwick 1996 to appear
    • Champneys, A. R. 1997 Homoclinic orbits in reversible systems and their applications in fluids, mechanics and optics. submitted to Proc. Workshop on Reversing Symmetries in Dynamical Systems, Warwick 1996 (to appear as a special issue of Physica D.)
    • (1997) Physica D , Issue.SPEC. ISSUE
    • Champneys, A.R.1
  • 6
    • 36149031023 scopus 로고
    • Bifurcation of a plethora of large amplitude homoclinic orbits for Hamiltonian systems
    • Champneys, A. R. & Toland, J. F. 1993 Bifurcation of a plethora of large amplitude homoclinic orbits for Hamiltonian systems. Nonlinearity 6, 665-721.
    • (1993) Nonlinearity , vol.6 , pp. 665-721
    • Champneys, A.R.1    Toland, J.F.2
  • 7
    • 0000107832 scopus 로고
    • Homoclinic orbits in Hamiltonian systems
    • Devaney, R. L. 1976a Homoclinic orbits in Hamiltonian systems. J. Diff. Eqns. 21, 431-438.
    • (1976) J. Diff. Eqns. , vol.21 , pp. 431-438
    • Devaney, R.L.1
  • 8
    • 84914748272 scopus 로고
    • Reversible diffeomorphisms and flows
    • Devaney, R. L. 1976b Reversible diffeomorphisms and flows. Trans. Am. Math. Soc. 218, 89-113.
    • (1976) Trans. Am. Math. Soc. , vol.218 , pp. 89-113
    • Devaney, R.L.1
  • 9
    • 0029691221 scopus 로고    scopus 로고
    • Discretization of homoclinic orbits, rapid forcing and 'invisible' chaos
    • Fiedler, B. & Scheurle, J. 1996 Discretization of homoclinic orbits, rapid forcing and 'invisible' chaos. Memoirs AMS 119, 8.
    • (1996) Memoirs AMS , vol.119 , pp. 8
    • Fiedler, B.1    Scheurle, J.2
  • 10
    • 0026170304 scopus 로고
    • Numerical computation and continuation of invariant manifolds connecting fixed points
    • Friedman, M. J. & Doedel, E. J. 1991 Numerical computation and continuation of invariant manifolds connecting fixed points. SIAM J. Numer. Analysis 28, 789-808.
    • (1991) SIAM J. Numer. Analysis , vol.28 , pp. 789-808
    • Friedman, M.J.1    Doedel, E.J.2
  • 11
    • 0007859149 scopus 로고
    • Structural localization phenomena and the dynamical phase-space analogy
    • Hunt, G. W., Bolt, H. M. & Thompson, J. M. T. 1989 Structural localization phenomena and the dynamical phase-space analogy. Proc. R. Soc. Lond. A 425, 245-267.
    • (1989) Proc. R. Soc. Lond. A , vol.425 , pp. 245-267
    • Hunt, G.W.1    Bolt, H.M.2    Thompson, J.M.T.3
  • 13
    • 84948377536 scopus 로고
    • Über das Gleichgewicht und die Bewegung eines unendlich dünnen elastischen Stabes
    • Kirchhoff, G. 1859 Über das Gleichgewicht und die Bewegung eines unendlich dünnen elastischen Stabes. J. für Mathematik (Crelle) 56, 285-313.
    • (1859) J. für Mathematik (Crelle) , vol.56 , pp. 285-313
    • Kirchhoff, G.1
  • 14
    • 0001524186 scopus 로고
    • On the change of form of long waves advancing in a rectangular channel, and on a new type of long stationary waves
    • Korteweg, D. & DeVries, G. 1895 On the change of form of long waves advancing in a rectangular channel, and on a new type of long stationary waves. Phil. Mag. 39, 422-443.
    • (1895) Phil. Mag. , vol.39 , pp. 422-443
    • Korteweg, D.1    DeVries, G.2
  • 15
    • 0001075628 scopus 로고    scopus 로고
    • Spatial patterns described by the extended Fisher-Kolmogorov (EFK) equation: Kinks
    • Peletier, L. & Troy, W. 1996 Spatial patterns described by the extended Fisher-Kolmogorov (EFK) equation: kinks. Differ. Int. Equat. 8, 1279-1304.
    • (1996) Differ. Int. Equat. , vol.8 , pp. 1279-1304
    • Peletier, L.1    Troy, W.2
  • 16
    • 0039182956 scopus 로고
    • Solitary waves in an inextensible, flexible, helicoidal fiber
    • Slepyan, L., Krylov, V. & Parnes, R. 1995 Solitary waves in an inextensible, flexible, helicoidal fiber. Phys. Rev. Lett. 74, 2725-2728.
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 2725-2728
    • Slepyan, L.1    Krylov, V.2    Parnes, R.3
  • 17
    • 0002020182 scopus 로고    scopus 로고
    • Global dynamics of driven oscillators; fractal basins and intermediate bifurcations
    • (ed. P. Aston). Cambridge University Press
    • Thompson, J. M. T. 1996 Global dynamics of driven oscillators; fractal basins and intermediate bifurcations. In Nonlinear mathematics and its application (ed. P. Aston). Cambridge University Press.
    • (1996) Nonlinear Mathematics and Its Application
    • Thompson, J.M.T.1
  • 18
    • 0031139903 scopus 로고    scopus 로고
    • Designing against capsize in beam seas: Recent advances and new insights
    • Thompson, J. M. T. 1997 Designing against capsize in beam seas: recent advances and new insights. Appl. Mech. Rev. 50, 307-325.
    • (1997) Appl. Mech. Rev. , vol.50 , pp. 307-325
    • Thompson, J.M.T.1
  • 19
    • 0007089881 scopus 로고
    • Spatial chaos and localisation phenomena in nonlinear elasticity
    • Thompson, J. M. T. & Virgin, L. N. 1988 Spatial chaos and localisation phenomena in nonlinear elasticity. Phys. Lett. A 126, 491-496.
    • (1988) Phys. Lett. A , vol.126 , pp. 491-496
    • Thompson, J.M.T.1    Virgin, L.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.