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학술저널

INVERSE SHADOWING PROPERTY OF MORSE-SMALE SYSTEMS

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We considerthe inverse shadowing property of a dynamical system which is an inverse form of the shadowing property of the system. In particular, we show that every Morse-Smale system f on a compact smooth manifold has the inverse shadowing property with respect to the class 자 (f) of continuous methods generated by homeomorphisms, but the system f does not have the inverse shadowing property with respect to the class τ (f) of continuous methods.

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