Abstract
Let ( f, I) and ( g x , I) be dynamical systems defined by smooth maps f ∈ C 1 ( I, I) and g x ∈ C 1 ( I, I) of the unit interval I = [0, 1]. We consider the triangular map F( x, y) = ( f( x), g x ( y)) and prove that if every periodic point of f is hyperbolic and the periodic points of F form a closed set, then every nonwandering point of F is periodic.
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