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Symmetry, Nonlinear Bifurcation Analysis, and Parallel Computation

dc.contributor.authorWohlever, J.C.en_US
dc.date.accessioned2007-04-04T16:32:12Z
dc.date.available2007-04-04T16:32:12Z
dc.date.issued1996-10en_US
dc.description.abstractIn the natural and engineering sciences the equations which model physical systems with symmetry often exhibit an invariance with respect to a particular group "G" of linear transformations. "G" is typically a linear representation of a symmetry group "g" which characterizes the symmetry of the physical system. In this work, we will discuss the natural parallelism which arises while seeking families of solutions to a specific class of nonlinear vector equations which display a special type of group invariance, referred to as equivariance. The inherent parallelism stems for a global de-coupling, due to symmetry, of the full nonlinear equations which effectively splits the original problem into a set of smaller problems. Numerical results from asymmetry-adapted numerical procedure, (MMcontcm.m), written in MultiMATLAB are discussed.en_US
dc.format.extent413284 bytes
dc.format.extent531484 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypeapplication/postscript
dc.identifier.citationhttp://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.tc/96-264en_US
dc.identifier.urihttps://hdl.handle.net/1813/5594
dc.language.isoen_USen_US
dc.publisherCornell Universityen_US
dc.subjecttheory centeren_US
dc.titleSymmetry, Nonlinear Bifurcation Analysis, and Parallel Computationen_US
dc.typetechnical reporten_US

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