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The Fatou coordinate for parabolic Dulac germs |
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| Authors: | P Mardešić M Resman J-P Rolin V Županović |
| Institution: | 1. Université de Bourgogne, Départment de Mathématiques, Institut de Mathématiques de Bourgogne, B.P. 47 870, 21078 Dijon Cedex, France;2. University of Zagreb, Faculty of Science, Department of Mathematics, Bijeni?ka 30, 10000 Zagreb, Croatia;3. University of Zagreb, Faculty of Electrical Engineering and Computing, Department of Applied Mathematics, Unska 3, 10000 Zagreb, Croatia |
| Abstract: | We study the class of parabolic Dulac germs of hyperbolic polycycles. For such germs we give a constructive proof of the existence of a unique Fatou coordinate, admitting an asymptotic expansion in the power-iterated logarithm monomials. |
| Keywords: | 37C05 34C07 30B10 30B12 39A06 34E05 37C10 37C15 Dulac germ Fatou coordinate Embedding in a flow Asymptotic expansion Transseries |
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