Dinâmica Hamiltoniana simplética: capacidade de Hofer-Zehnder
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Universidade Federal do Espírito Santo
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This dissertation presents some fundamental theorems on Symplectic Geometry including Darboux’s theorem and Gromov’s nonsqueezing theorem. Furthermore, we study the existence of periodic orbits of hamiltonians systems. The Hofer-Zehnder capacity was the main tool used to obtain the results.Hofer-Zehnder capacity was the main tool used to obtain the results
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Topologia simplética, Sistemas hamiltonianos, Symplectic capacity, Periodic orbits, Hamiltonians systems, Symplectic topology, Capacidade simplética, Órbitas periódicas