7 citations · 31 across the 33 of their papers we have counts for
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math.DS2001★ 1 cited
Homoclinic classes for generic C^1 vector fields
C. M. Carballo, C. A. Morales, M. J. Pacifico
We prove that homoclinic classes for a residual set of C^1 vector fields X on closed n-manifolds are maximal transitive and depend continuously on periodic orbit data. In addition,…
math.DS2001
Homoclinic classes and finitude of attractors for vector fields on n-manifolds
C. M. Carballo, C. A. Morales
A homoclinic class of a vector field is the closure of the transverse homoclinic orbits associated to a hyperbolic periodic orbit. An attractor (a repeller) is a transitive set to…