activity
20132026
most citedOn Takens' Last Problem: tangencies and time averages near heteroclinic networks

38 citations · 131 across the 30 of their papers we have counts for

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Showing 2013Show all

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math.DS2013★ 27 cited

Spiralling dynamics near heteroclinic networks

Alexandre A. P. Rodrigues, Isabel S. Labouriau

There are few explicit examples in the literature of vector fields exhibiting complex dynamics that may be proved analytically. We construct explicitly a {two parameter family of v…

math.DS2013

Partial symmetry breaking and heteroclinic tangencies

Isabel S. Labouriau, Alexandre A. P. Rodrigues

We study some global aspects of the bifurcation of an equivariant family of volume-contracting vector fields on the three-dimensional sphere. When part of the symmetry is broken, t…