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Volumn 1, Issue 1, 2002, Pages 115-145

Calculation of the stability index in parameter-dependent calculus of variations problems: buckling of a twisted elastic strut

Author keywords

Anisotropy; Buckling; Conjugate points; Elastic rods; Isoperimetric constraints; Parameter continuation; Stability index

Indexed keywords


EID: 0013105408     PISSN: 15360040     EISSN: 15360040     Source Type: Journal    
DOI: 10.1137/S1111111101396622     Document Type: Article
Times cited : (17)

References (27)
  • 3
    • 33746703799 scopus 로고    scopus 로고
    • A multiplicity of localized buckling modes for twisted rod equations
    • A. R. Champneys and J. M. T. Thompson, A multiplicity of localized buckling modes for twisted rod equations, Proc. Roy. Soc. London A, 452 (1996), pp. 2467-2491.
    • (1996) Proc. Roy. Soc. London a , vol.452 , pp. 2467-2491
    • Champneys, A.R.1    Thompson, J.M.T.2
  • 4
    • 0040581612 scopus 로고
    • Kirchhoff's theory of rods
    • E. H. Dill, Kirchhoff's theory of rods, Arch. Hist. Exact Sci., 44 (1992), pp. 1-23.
    • (1992) Arch. Hist. Exact Sci. , vol.44 , pp. 1-23
    • Dill, E.H.1
  • 5
    • 0000378937 scopus 로고
    • Numerical analysis and control of bifurcation problems. I. Bifurcation in finite dimensions
    • E. J. Doedel, H. B. Keller, and J. P. Kernevez, Numerical analysis and control of bifurcation problems. I. Bifurcation in finite dimensions, Internat. J. Bifur. Chaos Appl. Sci. Engrg., 1 (1991), pp. 493-520.
    • (1991) Internat. J. Bifur. Chaos Appl. Sci. Engrg. , vol.1 , pp. 493-520
    • Doedel, E.J.1    Keller, H.B.2    Kernevez, J.P.3
  • 6
    • 0000378934 scopus 로고
    • Numerical analysis and control of bifurcation problems. II. Bifurcation in infinite dimensions
    • E. J. Doedel, H. B. Keller, and J. P. Kernevez, Numerical analysis and control of bifurcation problems. II. Bifurcation in infinite dimensions, Internat. J. Bifur. Chaos Appl. Sci. Engrg., 1 (1991), pp. 745-772.
    • (1991) Internat. J. Bifur. Chaos Appl. Sci. Engrg. , vol.1 , pp. 745-772
    • Doedel, E.J.1    Keller, H.B.2    Kernevez, J.P.3
  • 15
    • 0000276399 scopus 로고    scopus 로고
    • Numerical solution of bifurcation and nonlinear eigenvalue problems
    • P. H. Rabinowitz, ed., Academic Press, New York
    • H. B. Keller, Numerical solution of bifurcation and nonlinear eigenvalue problems, in Applications of Bifurcation Theory, P. H. Rabinowitz, ed., Academic Press, New York, 1977, pp. 359-384.
    • Applications of Bifurcation Theory , vol.1977 , pp. 359-384
    • Keller, H.B.1
  • 19
    • 0001475999 scopus 로고    scopus 로고
    • Isoperimetric conjugate points with application to the stability of DNA minicircles
    • R. S. Manning, K. A. Rogers, and J. H. Maddocks, Isoperimetric conjugate points with application to the stability of DNA minicircles, Proc. Roy. Soc. London A, 454 (1998), pp. 3047-3074.
    • (1998) Proc. Roy. Soc. London a , vol.454 , pp. 3047-3074
    • Manning, R.S.1    Rogers, K.A.2    Maddocks, J.H.3
  • 23
    • 0003318971 scopus 로고
    • An Introduction to Partial Differential Equations
    • Springer-Verlag, New York
    • M. Renardy and R. Rogers, An Introduction to Partial Differential Equations, Texts Appl. Math. 13, Springer-Verlag, New York, 1993.
    • (1993) Texts Appl. Math. , vol.13
    • Renardy, M.1    Rogers, R.2
  • 27
    • 0001134587 scopus 로고    scopus 로고
    • Lock-on to tape-like behaviour in the torsional buckling of anisotropic rods
    • G. H. M. van der Heijden and J. M. T. Thompson, Lock-on to tape-like behaviour in the torsional buckling of anisotropic rods, Phys. D, 112 (1998), pp. 201-224.
    • (1998) Phys. D , vol.112 , pp. 201-224
    • Van Der Heijden, G.H.M.1    Thompson, J.M.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.