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New structurally unstable families of planar vector fields

math.DS · 2019-08-07 · conditional · novelty 6.0

Transverse 3-parameter unfoldings of vector fields with 'ears' or 'glasses' separatrix graphs carry the numerical invariant φ = -ln ρ / ln λ, so every such family is structurally unstable.

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  • New structurally unstable families of planar vector fields math.DS · 2019-08-07 · conditional · none · ref 2

    Transverse 3-parameter unfoldings of vector fields with 'ears' or 'glasses' separatrix graphs carry the numerical invariant φ = -ln ρ / ln λ, so every such family is structurally unstable.