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Duality of Cusp Singularities (Complex Analysis of Singularities)
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Infinitesimal Deformations of Cusp Singularities
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The duality of Tsuchihashi cusp singularities(Analytic varieties and singularities)
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Infinitesimal deformations of generalized cusp singularities
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The graded rings associated to cusp singularities
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Bifurcations at a cusp singularity with applications
Acta Applicandae Mathematicae, 1984The authors investigate the nature of bifurcations that occur in a finite dimensional smooth dynamical system depending on more than one parameter. In addition to the saddle point node which is analogous to the Hopf bifurcation, a cusp node can occur. This cusp singularity occurs only in the presence of more than one parameter.
Arrowsmith, D. K., Place, C. M.
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Geometric Desingularization of a Cusp Singularity in Slow–Fast Systems with Applications to Zeeman’s Examples [PDF]
International audienceThe cusp singularity --a point at which two curves of fold points meet-- is a prototypical example in Takens' classification of singularities in constrained equations, which also includes folds, folded saddles, folded nodes, among ...
Maciej Krupa, Henk Broer, Tasso Kaper
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Analysis of a slow–fast system near a cusp singularity [PDF]
International audienceThis paper studies a slow–fast system whose principal characteristic is that the slow manifold is given by the critical set of the cusp catastrophe.
Hildeberto Jardón Kojakhmetov +1 more
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Journal of Singularities, 2015
Summary: We obtain a list of all simple classes of singularities of function germs with respect to the quasi cusp equivalence relation. We discuss its connection with the singularities of Lagrangian projections in presence of a cuspidal edge. We also describe the bifurcation diagrams and caustics of simple quasi cusp singularities.
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Summary: We obtain a list of all simple classes of singularities of function germs with respect to the quasi cusp equivalence relation. We discuss its connection with the singularities of Lagrangian projections in presence of a cuspidal edge. We also describe the bifurcation diagrams and caustics of simple quasi cusp singularities.
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Monostatic SAR with Fold/Cusp Singularities
Journal of Fourier Analysis and Applications, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Felea, Raluca, Nolan, Cliff
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