Arithmetical method to detect integrability in maps.
نویسندگان
چکیده
We develop a method to detect the presence of integrals of the motion in symplectic rational maps, by representing these maps over finite fields and examining their orbit structure. We find markedly different orbit statistics depending upon whether the map is integrable or not.
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ورودعنوان ژورنال:
- Physical review letters
دوره 90 3 شماره
صفحات -
تاریخ انتشار 2003