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| STABILITY OF A PARABOLIC FIXED POINT OF REVERSIBLE MAPPINGS |
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Citation： |
Liu Bin,You Jiangong.STABILITY OF A PARABOLIC FIXED POINT OF REVERSIBLE MAPPINGS[J].Chinese Annals of Mathematics B,1994,15(2):147~152 |
| Page view： 889
Net amount： 765 |
Authors： |
Liu Bin; You Jiangong |
Foundation： |
Project supported by the Nationa Natural Science Foundation of China |
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| Abstract： |
KAM theorem of reversible system is used to provide a sufficient condition
which guarantees the stability of a parabolic fixed point of reversible
mappings. The main idea is to discuss when the parabolic fixed point is
surrounded by closed invariant curves and thus exhibits stable behaviour. |
Keywords： |
Stability, Reversible mapping, Parabolic fixed point, KAM theorem. |
Classification： |
58F13 |
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