Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems.
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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.
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Abstract
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.
| Item Type: | Article |
|---|---|
| Additional Information: | Physica D 195 (2004) 263-282. |
| Uncontrolled Keywords: | Krein signature, Nonlinear, Hamiltonian |
| Divisions: | Faculty of Engineering and Physical Sciences > Mathematics |
| ID Code: | 1516 |
| Deposited By: | Mr Adam Field |
| Deposited On: | 27 May 2010 15:41 |
| Last Modified: | 28 Sep 2012 10:50 |
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