Regularisation for Planar vector fields

DOI10.1088/1361-6544/ab34d9zbMath1428.37027arXiv1901.08701OpenAlexW2912174569MaRDI QIDQ5244408

Nathan Duignan, Holger R. Dullin

Publication date: 21 November 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.08701

zbMATH Keywords

regularisationplanar vector fieldscelestial mechanicsisolating blocks

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamics induced by flows and semiflows (37C10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10) Dynamical systems with singularities (billiards, etc.) (37C83)

Related Items (4)

Normal forms for manifolds of normally hyperbolic singularities and asymptotic properties of nearby transitions ⋮ ‘Life after death’ in ordinary differential equations with a non-Lipschitz singularity ⋮ On the \(C^{8/3}\)-regularisation of simultaneous binary collisions in the collinear 4-body problem ⋮ On the C ^8/3-regularisation of simultaneous binary collisions in the planar four-body problem

Cites Work

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• Isolated Invariant Sets and Isolating Blocks

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