Transactions of the American Mathematical Society · 1977 · 40 citations · 3 references
Natural SciencesMathematicsGeometryTopologyFixed PointsHyperbolic GeometryHyperbolic Fixed PointsPeriodic Points
If a smooth map of the two-disk to itself has only hyperbolic periodic points and has no source or sink whose period is a power of two then it has infinitely many periodic points. This and similar results are proved.
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Differentiable dynamical systems
Stephen T. Smale · Bulletin of the American Mathematical Society · 1967 · 3K citations · Full text