CONTENTS 1. History of differentiable dynamics 1 2. Differentiable dynamics, definitions and examples 2 3. Basic problems of differentiable dynamics 11 4. Comparison and contrast of topological and differentiable dynamics 18 Elementary concepts of topological dynamics 19 Contrast of topological and differentiable System theory 26 5. Morse-Smale, Anosov hyperbolic and generic dynamical Systems 27 6. The principal results of differentiable dynamics 36 Bibliography - 44 Appendix (1980) 49 References to Appendix 66 í
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