Homoclinic classes with shadowing
1 Department of Mathematics, Chungnam National University, Daejeon, 305-764, Korea
2 Department of Mathematics, Mokwon University, Daejeon, 302-729, Korea
Journal of Inequalities and Applications 2012, 2012:97 doi:10.1186/1029-242X-2012-97Published: 23 April 2012
We show that for C1 generic diffeomorphisms, an isolated homoclinic class is shadow-able if and only if it is a hyperbolic basic set.
Mathematics Subject Classification 2000: 37C20; 37C05; 37C29; 37D05.