Periodic points on tori
نویسندگان
چکیده
منابع مشابه
Periodic points for actions of tori in Stein manifolds
In one complex variable dynamics, Sullivan’s theorem ([6]) gives a complete classification of the Fatou components that can appear for a rational map f . Consequently we can have only periodic components U and U can be one of the following: 1. U attracting basin; 2. U parabolic domain; 3. U Siegel disk; 4. U Herman ring. Cases 3. and 4. are called rotation domains. In these cases, the rational ...
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We consider a smooth Tonelli Lagrangian L : TTn → R and its viscosity solutions u(x, P ) characterized by the cell equation H(x, P + Dxu(x, P )) = H(P ), where H : T ∗Tn → R is the Hamiltonian associated with L. We will show that if P0 corresponds to a quasi-periodic Lagrangian invariant torus, then Dxu(x, P ) is Hölder continuous in P at P0 with Hölder exponent arbitrarily close to 1, and if b...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1979
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1979.83.117