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math.DS2007★ 11 cited
Lyapunov stable chain recurrent classes
Jiagang Yang
We show that for a residual subset of diffeomorphisms far away from homoclinic tangency, the stable manifolds of periodic points cover a dense subset of the ambient manifold.…
math.DS2007
Newhouse phenomenon and homoclinic classes
Jiagang Yang
We show that for a residual subset of diffeomorphisms far away from tangency, every non-trivial chain recurrent class that is accumulated by sources ia a homoclinic class con…