Article ID Journal Published Year Pages File Type
10726936 Physics Letters A 2011 8 Pages PDF
Abstract
► We show how Brouwerʼs equations appear in optics, hydrodynamics and rotor dynamics. ► Swallowtail singularity exists on stability boundary of undamped Brouwer problem. ► Benjamin-Feir instability is interpreted as a destabilization by indefinite damping. ► Damping creates two Whitney umbrella singularities on the stability boundary. ► At the singular set eigenvalues are pure imaginary despite the presence of damping.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
Authors
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