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