Characterization of chaos for continuous maps of the circle
X-minimal patterns and a generalization of Sharkovskiĭ's theorem
We study the law of coexistence of different types of cycles for a continuous map of the interval. For this we introduce the notion of eccentricity of a pattern and characterize those patterns with a given eccentricity that are simplest from the point of view of the forcing relation. We call these patterns X-minimal. We obtain a generalization of Sharkovskiĭ's Theorem where the notion of period is replaced by the notion of eccentricity.
Topological entropy and variation for transitive maps
Thermal convection in a rotating spherical body with free surface: Implications for Saturn’s moon iapetus
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