C. Morales

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20012026

most citedHomoclinic classes for sectional-hyperbolic sets

7 citations · 31 across the 33 of their papers we have counts for

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Showing 2014Show all

5 papers · 1 filter

math.DS2014★ 6 cited

On the intersection of sectional-hyperbolic sets

S. Bautista, C. A. Morales

We analyse the intersection of positively and negatively sectional-hyperbolic sets for flows on compact manifolds. First we prove that such an intersection is hyperbolic if the int…

math.DG2014

A curvature form for pseudoconnections

C. A. Morales, M. Vilches

We obtain the curvature form $F^{\nabla} = P \circ d^{\nabla} \circ \nabla - d^{\nabla} \circ P \circ \nabla + d^{\nabla} \circ \nabla \circ P$ for a vector bundle pseudoconnection $\nabla$ , where $d^\na…

math.DS2014★ 1 cited

Entropy, pseudo-orbit tracing property and positively expansive measures

C. A. Morales

We study homeomorphisms of compact metric spaces whose restriction to the nonwandering set has the pseudo-orbit tracing property. We prove that if there are positively expansive me…

math.DS2014★ 7 cited

Homoclinic classes for sectional-hyperbolic sets

A. Arbieto, C. A. Morales, A. M. Lopez B

We prove that every sectional-hyperbolic Lyapunov stable set contains a nontrivial homoclinic class.

math.DS2014★ 1 cited

Existence of attractors for three-dimensional flows

C. A. Morales

We prove the results in [1] using Theorem 1 of the recent paper [2] by Crovisier and Yang. References: [1] Arbieto, A., Rojas, C., Santiago, B., Existence of attractors, homoclinic…