Conditions for periodic vibrations in a symmetric <Emphasis Type="Italic">n</Emphasis>-string |
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Authors: | Claude Gauthier |
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Institution: | (1) Department of Mathematics and Statistics, Université de Moncton, Moncton, N.B., Canada, E1A 3E9 |
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Abstract: | A symmetric N-string is a network of N ≥ 2 sections of string tied together at one common mobile extremity. In their equilibrium position, the sections of string
form N angles of 2π/N at their junction point. Considering the initial and boundary value problem for small-amplitude oscillations perpendicular
to the plane of the N-string at rest, we obtain conditions under which the solution will be periodic with an integral period.
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Keywords: | networks of strings wave equation periodicity star graphs |
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