Properties of Monodromic Points on Center Manifolds in {\mathbb {R}}^3 via Lie Symmetries |
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| Authors: | Isaac A García Susanna Maza Douglas S Shafer |
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| Institution: | 1. Departament de Matemàtica, Universitat de Lleida, Avda. Jaume II, 69, 25001?, Lleida, Spain
2. Mathematics Department, University of North Carolina at Charlotte, Charlotte, NC, 28223, USA
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| Abstract: | In this work we use Lie symmetries to investigate monodromic points on center manifolds of a singularity of an analytic vector field ${\mathcal {X}}$ in ${\mathbb {R}}^3$ . We investigate how whether the singularity is a focus or a center, is analytically normalizable or not, and is linearizable or not is reflected in the centralizer and normalizer of ${\mathcal {X}}$ . |
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