Real Lax spectrum implies spectral stability
作者： Jeremy Upsal , Bernard Deconinck
DOI: 10.1111/SAPM.12335
关键词: Spectrum (functional analysis) 、 Mathematics 、 Floquet theory 、 Eigenvalues and eigenvectors 、 Real line 、 Eigenfunction 、 Stability (probability) 、 Stability spectrum 、 Pure mathematics 、 Dynamical systems theory
摘要: We consider the dynamical stability of periodic solutions integrable equations with 2x2 Lax pairs. construct eigenfunctions and hence Floquet discriminant for such The boundedness determines spectrum. use a connection between spectrum to show that subset real line which gives rise stable eigenvalues is contained in This full self-adjoint members AKNS hierarchy. For non-self-adjoint hierarchy admitting common reduction, always part maps problem. demonstrate our methods work variety examples.
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