Conformal maps and non-reversibility of elliptic area-preserving maps
نویسندگان
چکیده
It has been long observed that area-preserving maps and reversible maps share similar results. This was certainly known to G.D. Birkhoff [5] who showed that these two types of maps have periodic orbits near a general elliptic fixed point. The KAM theory, developed by Kolmogorov-ArnoldMoser for Hamiltonian systems [9], [1] and area preserving maps [15], has also been extended a great deal to reversible systems and maps (see [16], [2], [21]). A natural question is if area-preserving maps and Hamiltonian systems are reversible. In this paper we shall prove
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