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Caminhos minimizantes em planos quase-hiperbólicos
(Departamento de MatemáticaPrograma de Pós-Graduação em MatemáticaUEMCentro de Ciências Exatas, 2021)
Redução simplética de Hamiltonianos de Tonelli e aplicações ao problema de N corpos
(Universidade Federal de Minas GeraisUFMG, 2014-03-11)
This work is devoted to study of Tonelli Hamiltonians with symmetries from the point of view of symplectic reduction. The goal is to apply techniques of this theory in the determination of minimizing invariant measures and ...
Sobre las medidas minimizantes de Lagrangianos periódicos sobre el círculo
(Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2010-11)
One of our objectives is that this text is self-contained, so we dedicate the first chapters to the bases of the Lagrangian theory and minimizing measures. In the first chapter we introduce the definition of Tonelli's ...