MSC:
35B10,
35Q72,
70K30,
73D35,
73H10,
73K05,
73K12,
74H45,
74K10 | MR 1475052 | Zbl 1042.74535 | DOI: 10.1023/A:1022255113612

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dynamical behaviour; suspension bridges; Tacoma Narrows bridge; nonlinear oscillations

References:

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[lit2] P. Drábek: **Jumping nonlinearities and mathematical models of suspension bridges**. Acta Math. et Inf. Univ. Ostraviensis 2 (1994), 9–18. MR 1309060

[lit7] A. Fonda, Z. Schneider, F. Zanolin: **Periodic oscillations for a nonlinear suspension bridge model**. Journal of Comp. and Applied Mathematics 52 (1994), 113–140. DOI 10.1016/0377-0427(94)90352-2 | MR 1310126

[lit3] S. Fučík: **Nonlinear noncoercive problems**. Conf. del Seminario di Mat. Univ. Bari (S. A. F. A. III), Bari, 1978, pp. 301–353. MR 0585118

[lit5] J. Glover, A. C. Lazer, P. J. McKenna: **Existence and stability of large-scale nonlinear oscillations in suspension bridges**. ZAMP 40 (1989), 171–200. DOI 10.1007/BF00944997 | MR 0990626

[lit1] A. C. Lazer, P. J. McKenna: **Large-amplitude periodic oscillations in suspension bridges: some new connections with nonlinear analysis**. SIAMS Review 32 (1990), 537–578. DOI 10.1137/1032120 | MR 1084570

[lit6] P. J. McKenna, W. Walter: **Nonlinear oscillations in a suspension bridge**. Arch. Rational Mech. Anal. 98 (1987), 167–177. DOI 10.1007/BF00251232 | MR 0866720