Publicado
The Plykin and Solenoid attractor are homoclinic classes
Los atractores Plykin y Solenoide son clases homoclínicas
DOI:
https://doi.org/10.15446/recolma.v57nSupl.112450Palabras clave:
Attractor, hyperbolic attractors, homoclinic classes, periodic orbits (en)Atractores, atractores hiperbólicos, clases homoclínicas, órbita periódica (es)
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A homoclinic class is the closure of the transverse intersection points of the stable and unstable manifolds of a hyperbolic periodic orbit. In this paper, we prove, using the techniques presented in [1], that the Plykin and the Solenoid attractors are a homoclinic class.
Una clase homoclínica es la clausura de puntos de intersecciones transversales entre las variedades estables e inestables sobre una órbita periódica hiperbólica. En este trabajo, usamos la técnica presentada en [1], para probar que los atractores Plykin y Solenoide son clases homoclínicas
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