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The rotating string. (English) Zbl 0521.73041


MSC:

74K05 Strings
37G99 Local and nonlocal bifurcation theory for dynamical systems
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References:

[1] Alexander, J.C., Antman, S.S.: Global and local behavior of bifurcating multidimensional continua of solutions for multiparameter nonlinear eigenvalue problems. Arch. Rational Mech. Anal.76, 339-354 (1981) · Zbl 0479.58005 · doi:10.1007/BF00249970
[2] Alexander, J.C., Antman, S.S., Deng, S.T.: Nonlinear eigenvalue problems for the whirling of heavy elastic strings. II. New methods in global bifurcation theory. Proc. Roy. Soc. Edinburgh · Zbl 0515.58025
[3] Alexander, J.C., Reeken, M.: On the topological structure of the set of generalized solutions of the catenary problem. Proc. Roy. Soc. Edinburgh · Zbl 0568.73063
[4] Reeken, M.: Exotic equilibrium states of the elastic string. Proc. Roy. Soc. Edinburgh · Zbl 0574.73067
[5] Reeken, M.: Rotating chain fixed at two points vertically above each other. Rocky Mountain, J. Math.10, (1980) · Zbl 0446.70017
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