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  • 1
    Electronic Resource
    Electronic Resource
    A poincaré-bendixson theorem for analytic families of vector fields (1995)
    Springer
    Bulletin of the Brazilian Mathematical Society 26 (1995), S. 85-116 
    Details
    ISSN: 1678-7714
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We provide a characterization of the limit periodic sets for analytic families of vector fields under the hypothesis that the first jet is non-vanishing at any singular point. Also, applying the family desingularization method, we reduce the complexity of some of these sets.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01234628
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    Paper (German National Licenses)
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  • 2
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    PSL(2, ℂ), the exponential and some new free groups (2018)
    Oxford University Press
    Details
    Publication Date: 2018-03-06
    Description: We prove a normal form result for the groupoid of germs generated by PSL(2,ℂ) and the exponential map. We discuss three consequences of this result: (1) a generalization of a result of Cohen about the group of translations and powers, which gives a positive answer to a problem posed by Higman; (2) as proof that the subgroup of Homeo(ℝ,+∞) generated by the positive affine maps and the exponential map is isomorphic to an HNN-extension; (3) a finitary version of the immiscibility conjecture of Ecalle–Martinet–Moussu–Ramis.
    Print ISSN: 0033-5606
    Electronic ISSN: 1464-3847
    Topics: Mathematics
    Published by Oxford University Press
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