# Conditions for periodic vibrations in a symmetric n-string

Open Mathematics (2008)

- Volume: 6, Issue: 2, page 287-300
- ISSN: 2391-5455

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topClaude Gauthier. "Conditions for periodic vibrations in a symmetric n-string." Open Mathematics 6.2 (2008): 287-300. <http://eudml.org/doc/269021>.

@article{ClaudeGauthier2008,

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.},

author = {Claude Gauthier},

journal = {Open Mathematics},

keywords = {networks of strings; wave equation; periodicity; star graphs; initial boundary value problem; small-amplitude oscillations},

language = {eng},

number = {2},

pages = {287-300},

title = {Conditions for periodic vibrations in a symmetric n-string},

url = {http://eudml.org/doc/269021},

volume = {6},

year = {2008},

}

TY - JOUR

AU - Claude Gauthier

TI - Conditions for periodic vibrations in a symmetric n-string

JO - Open Mathematics

PY - 2008

VL - 6

IS - 2

SP - 287

EP - 300

AB - 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.

LA - eng

KW - networks of strings; wave equation; periodicity; star graphs; initial boundary value problem; small-amplitude oscillations

UR - http://eudml.org/doc/269021

ER -

## References

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