Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems.
Kapitula, T., Kevrekidis, P. G. and Sandstede, B. (2004) Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems. Physica D, 195 (2004). pp. 263-282.
Spectra of nonlinear waves in infinite-dimensional Hamiltonian systems are investigated. We establish a connection via the Krein signature between the number of negative directions of the second variation of the energy and the number of potentially unstable eigenvalues of the linearization about a nonlinear wave. We apply our results to determine the effect of symmetry breaking on the spectral stability of nonlinear waves in weakly coupled nonlinear Schrödinger equations.
|Additional Information:||Physica D 195 (2004) 263-282.|
|Uncontrolled Keywords:||Krein signature, Nonlinear, Hamiltonian|
|Divisions:||Faculty of Engineering and Physical Sciences > Mathematics|
|Deposited By:||Mr Adam Field|
|Deposited On:||27 May 2010 15:41|
|Last Modified:||28 Sep 2012 10:50|
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