An Example of Stability Exchange in a Hamiltonian Wave System
作者:
J. A. Zufiria,
P. G. Saffman,
期刊:
Studies in Applied Mathematics
(WILEY Available online 1986)
卷期:
Volume 74,
issue 1
页码: 85-91
ISSN:0022-2526
年代: 1986
DOI:10.1002/sapm198674185
数据来源: WILEY
摘要:
A simple analytical model has been constructed to demonstrate Saffman's (1985) proof of Tanaka's (1983, 1985) results on the superharmonic stability of deep water waves. The model shows the change of geometrical and algebraic multiplicity of the eigenvalues and eigenvectors of the stability equation at the critical points. It confirms the existence of Hamiltonian systems with limit points at which there is no change of stability.
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