New cases of quasiperiodic motions in reversible systems |
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Authors: | Sevryuk M B |
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Institution: | Institute of Energy Problems of Chemical Physics, 117829, Lenin Prospect 38, Building 2, Moscow, Russia. |
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Abstract: | A theorem on the existence of invariant D-dimensional tori in reversible mappings near surfaces foliated into invariant tori of dimension d is announced, where d=D and the phase space dimension is no less than 2D. This result and its analog for reversible differential equations present a bridge between the so-called global and local lower dimensional reversible Kolmogorov-Arnold-Moser theorems. |
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