Parametric excitation of high-mode oscillations for a non-linear telegraph equation
Journal Article
·
· Sbornik. Mathematics
- P.G. Demidov Yaroslavl State University, Yaroslavl (Russian Federation)
- M.V. Lomonosov Moscow State University, Moscow (Russian Federation)
The problem of parametric excitation of high-mode oscillations is solved for a non-linear telegraph equation with a parametric external excitation and small diffusion. The equation is considered on a finite (spatial) interval with Neumann boundary conditions. It is shown that under a proper choice of parameters of the external excitation this boundary-value problem can have arbitrarily many exponentially stable solutions that are periodic in time and rapidly oscillate with respect to the spatial variable.
- OSTI ID:
- 21202957
- Journal Information:
- Sbornik. Mathematics, Vol. 191, Issue 8; Other Information: DOI: 10.1070/SM2000v191n08ABEH000498; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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