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On the $F$-expanding of Homoclinic classes
Wanlou WU,Bo LI
Keywords:Homoclinic classes, Thin trapped, Periodic points, Uniformly expanding
Abstract:
      We establish a closing property for thin trapped (see Definition \ref{Def:TP}) homoclinic classes. Taking advantage of this property, we prove that if a homoclinic class $H(f, p)$ admits a dominated splitting $T_{H(f, p)}M=E\oplus_