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2013 | OriginalPaper | Buchkapitel

7. Point Spectrum: Linear Hamiltonian Systems

verfasst von : Todd Kapitula, Keith Promislow

Erschienen in: Spectral and Dynamical Stability of Nonlinear Waves

Verlag: Springer New York

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Abstract

Hamiltonian systems are about balance, with the energy and other invariants preserved under the flow. For a spatially localized critical point of a Hamiltonian system, the balance is reflected in the symmetry of the spectrum, which typically pins the essential spectrum to the imaginary axis in unweighted spaces. The mechanism for bifurcation in Hamiltonian systems thus falls upon the point spectrum.

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Titel: Point Spectrum: Linear Hamiltonian Systems
verfasst von: Todd Kapitula
Keith Promislow
Verlag: Springer New York
Buch: Spectral and Dynamical Stability of Nonlinear Waves
Print ISBN: 978-1-4614-6994-0

Electronic ISBN: 978-1-4614-6995-7

Copyright-Jahr: 2013
DOI: https://doi.org/10.1007/978-1-4614-6995-7_7

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