Conditions for periodic vibrations in a symmetric n-string

Central European Journal of Mathematics - Tập 6 Số 2 - Trang 287-300 - 2008
Claude Gauthier1
1Department of Mathematics and Statistics, Université de Moncton, Moncton, Canada

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Tài liệu tham khảo

Ali Mehmeti F., Nonlinear Wave in Networks, Mathematical Research 80, Akademie-Verlag, Berlin, 1994

Berkolaiko G., Keating J.P., Two-point spectral correlation for star graphs, J. Phys. A, 1999, 32, 7827–7841

Cattaneo C., Fontana L., D’Alembert formula on finite one-dimensional networks, J. Math. Anal. Appl., 2003, 284, 403–424

Dáger R., Zuazua E., Controllability of star-shaped networks of strings, C. R. Acad. Sci. Paris Ser.I Math., 2001, 332, 621–626

Dáger R., Zuazua E., Controllability of tree-shaped networks of vibrating strings, C. R. Acad. Sci. Paris Ser.I Math., 2001, 332, 1087–1092

Gaudet S., Gauthier C., A numerical model for the 3-D non-linear vibrations of an N-string, J. Sound Vibration, 2003, 263, 269–284

Gaudet S., Gauthier C., LeBlanc V.G., On the vibration of an N-string, J. Sound Vibration, 2000, 238, 147–169

Gaudet S., Gauthier C., Léger L., Walker C., The vibration of a real 3-string: the timbre of the tritare, J. Sound Vibration, 2005, 281, 219–234

Gauthier C., The amplification of non-linear travelling waves through a tree of 3-strings, Nuovo Cimento Soc. Ital. Fis. B, 2004, 119, 361–369

Gnutzmann S., Smilansky U., Quantum graphs: applications to quantum chaos and universal spectral statistics, Adv. Phys., 2006, 55, 527–625

Lagnese J.E., Leugering G., Schmidt E.J.P.G., Modeling analysis and control of dynamic elastic multi-link structures, Birkhäuser, Boston, 1994

Sagan B.E., The symmetric group, The Wadsworth & Brooks/Cole Mathematic Series, Pacific Grove, California, 1991

Sullivan D., The wave equation and periodicity, Appl. Math. Notes, 1984, 9, 1–12