Exactly Solvable Chaos and Addition Theorems of Elliptic Functions
نویسنده
چکیده
We review recent developments about a systematic method of constructing of rational mappings as ergordic transformations with nonuniform invariant measures on the unit interval I = [0, 1]. All rational ergordic mappings of I with explicit non-uniform densities can be characterized by addition theorems of elliptic functions. We call this special class of chaotic mappings exactly solvable chaos and we can classify them by the associated elliptic modular functions.
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