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Stability of Hyperbolic and Nonhyperbolic Fixed Points of One-dimensional Maps |
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| Authors: | Fozi M Dannan Saber N Elaydi Vadim Ponomarenko |
| Institution: | 1. Department of Mathematics, Faculty of Science , Qatar University , Doha, Qatar;2. Department of Mathematics , Trinity University , 78212, San Antonio, TX, USA |
| Abstract: | We present a complete theory for the stability of non-hyperbolic fixed points of one-dimensional continuous maps. As well as we give simple criteria for the global stability of general maps without using derivatives. |
| Keywords: | Fixed point Global stability Asymptotic stability Non-hyperbolic Schwarzian |