Abstract
Every area preserving and orientation reversing analytic diffeomorphism of the plane having a stable fixed point is topologically conjugate to a symmetry.
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Ortega, R. A Dynamical Characterization of Planar Symmetries. Qual. Theory Dyn. Syst. 10, 197–201 (2011). https://doi.org/10.1007/s12346-011-0049-6
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DOI: https://doi.org/10.1007/s12346-011-0049-6