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    Perspectives on short break destinations and their contribution to local-regional economic development: a literature review
    (University of Talca, 2022-12-01)
    Globalization and changing lifestyles are generating new forms of tourism, including visits to short break destinations. The objective of this study is to propose a definition of short break destinations and to present the dimensions of the attractiveness of tourist destinations. The methodology consisted of reviewing the literature of 64 academic publications. The result shows the determinants that should be considered in the definition of short break destination and the following dimension are proposed: 1) naturals resources, 2) cultural and historical resources, 3) social factors, 4) tourist services and 5) infrastructure.
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    Complete transversal and formal normal forms of germs of vector fields
    (Sociedade Brasileira de Matemática, 2022-12-26)
    In this work, inspired by the technique of the complete transversal, used for the classification of plane branches, developed by Hefez, A. and Hernandes, M., as well as Bruce, J.W., Kirk, N.P. and du Plesis, A.A., study the singularities of applications, we establish a classification of vector fields through their normal forms. In the case of vector fields with non zero linear part in $(\mathbb{C}^{2}, 0) $ and nilpotent fields in $(\mathbb {C}^{n}, 0), n\geq 2$ we recover the classical normal forms for those fields, and we provide a formal normal form different from Takens in dimension 2. Likewise, we obtain the normal form for the vector fields in $(\mathbb{C},0)$ of any multiplicity.