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The hyperbolic umbilic singularity in fast-slow systems - MaRDI portal

The hyperbolic umbilic singularity in fast-slow systems (Q6592192)

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scientific article; zbMATH DE number 7900891

Language	Label	Description	Also known as
English	The hyperbolic umbilic singularity in fast-slow systems	scientific article; zbMATH DE number 7900891

Statements

scholarly article

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The hyperbolic umbilic singularity in fast-slow systems (English)

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Hildeberto Jardón-Kojakhmetov

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Christian Kuehn

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Maximilian Steinert

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publication date

24 August 2024

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zbMATH Keywords

fast-slow system

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geometric desingularization

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blow-up method

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catastrophe theory

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MaRDI profile type

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Normal forms for functions near degenerate critical points, the Weyl groups of A\(_k\), D\(_k\), E\(_k\) and lagrangian singularities

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Singularities of differentiable maps

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Geometric desingularization of a cusp singularity in slow-fast systems with applications to Zeeman's examples

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Quadratic gradients on the plane are generically Morse-Smale

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Bifurcations and catastrophes. Geometry of solutions to nonlinear problems. Transl. from the French by David Chillingworth

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Geometric singular perturbation theory for ordinary differential equations

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Geometric desingularization of degenerate singularities in the presence of fast rotation: A new proof of known results for slow passage through Hopf bifurcations

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Extending geometric singular perturbation theory to nonhyperbolic points -- fold and canard points in two dimensions

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Polynomial normal forms of constrained differential equations with three parameters

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Analysis of a slow-fast system near a cusp singularity

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A survey on the blow-up method for fast-slow systems

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The Geometry of Generic Sliding Bifurcations

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Bifurcation of singular points of gradient dynamical systems

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Extending slow manifolds near transcritical and pitchfork singularities

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Multiple time scale dynamics

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Elements of applied bifurcation theory

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Study of Singularities in Nonsmooth Dynamical Systems via Singular Perturbation

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Differential equations with small parameters and relaxation oscillations. Translation from the Russian by F. M. C. Goodspeed

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Folded Saddles and Faux Canards

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Regularization of discontinuous foliations: blowing up and sliding conditions via Fenichel theory

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Slow-fast normal forms arising from piecewise smooth vector fields

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Canards in \(\mathbb{R}^3\)

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Apropos canards

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Geometric Singular Perturbation Theory Beyond the Standard Form

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Normally hyperbolic invariant manifolds in dynamical systems

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1088/1361-6544/AD6BDE

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Sitelinks

Mathematics(1 entry)

mardi Publication:6592192

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