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math.DS2017
The role of the saddle-foci on the structure of a Bykov attracting set
Mario Bessa, Maria Carvalho, Alexandre A. P. Rodrigues
We consider a one-parameter family of symmetric vector fields on the three-dimensional sphere whose flows exhibit a h…
math.DS2017★ 7 cited
Complete set of invariants for a Bykov attractor
Maria Carvalho, Alexandre A. P. Rodrigues
In this paper we consider an attracting heteroclinic cycle made by a 1-dimensional and a 2-dimensional separatrices between two hyperbolic saddles having complex eigenvalues. The b…