Search results for "Singularity function"

showing 2 items of 2 documents

Singularity tracking for Camassa-Holm and Prandtl's equations

2006

In this paper we consider the phenomenon of singularity formation for the Camassa-Holm equation and for Prandtl's equations. We solve these equations using spectral methods. Then we track the singularity in the complex plane estimating the rate of decay of the Fourier spectrum. This method allows us to follow the process of the singularity formation as the singularity approaches the real axis.

Essential singularityNumerical AnalysisCamassa–Holm equationApplied MathematicsComplex singularitieMathematical analysisPrandtl numberPrandtl’s equationsSingularity functionPrandtl–Glauert transformationComputational Mathematicssymbols.namesakeSpectral analysiSingularitysymbolsCamassa–Holm equationSpectral methodComplex planeMathematicsBoundary layer separation
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PIECEWISE SMOOTH REVERSIBLE DYNAMICAL SYSTEMS AT A TWO-FOLD SINGULARITY

2012

This paper focuses on the existence of closed orbits around a two-fold singularity of 3D discontinuous systems of the Filippov type in the presence of symmetries.

Essential singularitySingularityDynamical systems theoryStructural stabilityApplied MathematicsModeling and SimulationHomogeneous spaceMathematical analysisPiecewiseSingularity functionDiscontinuous systemsEngineering (miscellaneous)MathematicsInternational Journal of Bifurcation and Chaos
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