منابع مشابه
Schwarzian Derivatives and Cylinder Maps
We describe the way in which the sign of the Schwarzian derivative for a family of diffeomorphisms of the interval I affects the dynamics of an associated many-to-one skew product map of the cylinder (R/Z) × I.
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The families of one-dimensional maps have been the object of many studies since [Sharkovsky, 1964], for instance in [Sharkovsky et al., 1997] or in [de Melo & van Strien, 1993], whose authors also studied this subject, we have two large surveys of the enormous effort made in the last decades in this field of work. We adopt the usual definitions as for instance symbolic dynamics or topological e...
متن کاملReal Bounds, Ergodicity and Negative Schwarzian for Multimodal Maps
Over the last 20 years, many of the most spectacular results in the field of dynamical systems dealt specifically with interval and circle maps (or perturbations and complex extensions of such maps). Primarily, this is because in the one-dimensional case, much better distortion control can be obtained than for general dynamical systems. However, many of these spectacular results were obtained s...
متن کاملOn Bicritical Rational Maps
This is a preliminary investigation of the geometry and dynamics of rational maps with only two critical points.
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ژورنال
عنوان ژورنال: Science China Mathematics
سال: 2016
ISSN: 1674-7283,1869-1862
DOI: 10.1007/s11425-016-5140-7