Homoclinic tangencies with infinitely many asymptotically stable single-round periodic solutions

S. S. Muni, R. I. McLachlan, D. J. W. Simpson

We consider a homoclinic orbit to a saddle fixed point of an arbitrary $C^{\infty }$ map $f$ on ${\mathbb{R}}^2$ and study the phenomenon that $f$ has an infinite family of asymptotical…