Department of Anatomy, Histology, and Neuroscience, School of Medicine, Autonomous University of Madrid, Madrid, Spain, Department of Anesthesiology, Hospital Ramón y Cajal, Madrid, Spain, Department of Surgery (Urology), Hospital de La Princesa, School of Medicine, Autonomous University of Madrid, Spain and Department of Medical Basic Sciences, School of Medicine, San Pablo University, CEU, Ma...

........................................................................................................................... 2 Author’s declaration. ...................................................................................................... 3 Acknowledgements. ......................................................................................................... 4 List of figures. ....

1 Department of Oral Physiology, School of Dentistry, Kyungpook National University, 188-1 Samduck-2, Chung-gu, Daegu 700-412, Republic of Korea 2Department of Anatomy, Histology and Embryology, Semmelweis University, Tüzoltó utca 58, Budapest 1450, Hungary 3 Department of Pharmacology, University of Colorado School of Medicine, Mail Stop 8315, 12800 E. 19th Avenue, P18-7104, Aurora, CO 80045, USA

The orbital shadowing property (OSP) of discrete dynamical systems on smooth closed manifolds is considered. The nondensity of OSP with respect to the C1-topology is proved. The proof uses the method of skew products developed by Ilyashenko and Gorodetskĭı.