000015149 001__ 15149
000015149 005__ 20161115100213.0
000015149 04107 $$aeng
000015149 046__ $$k2016-08-21
000015149 100__ $$aBanerjee, Amartya
000015149 24500 $$aA framework for frequently occurring non-generic degeneracies

000015149 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015149 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015149 506__ $$arestricted
000015149 520__ $$2eng$$aThe occurrence of generic degeneracies in physical systems is closely related to underlying symmetries of the governing equations. The occurrence of additional non-generic degeneracies which cannot be accounted for by symmetry arguments is usually termed accidental. In this work, we develop a framework that helps identify and investigate a particular class of degeneracies associated with equivariant systems under certain common symmetry groups. We show that the existence of a first-integral for such systems (i.e., a potential function or energy functional) guarantees generically that non-generic degeneracies in the spectrum of the Jacobian (and other system properties) occur. We describe concrete examples of physical systems exhibiting these types of degeneracies and comment on the ramifications.

000015149 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015149 653__ $$a

000015149 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015149 720__ $$aBanerjee, Amartya
000015149 8560_ $$ffischerc@itam.cas.cz
000015149 8564_ $$s86701$$uhttps://invenio.itam.cas.cz/record/15149/files/TS.SM04-1.02.pdf$$yOriginal version of the author's contribution as presented on CD,  page 1890, code TS.SM04-1.02
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000015149 962__ $$r13812
000015149 980__ $$aPAPER