(Universidade Federal do Espírito Santo, 2019-09-20) Ferreira, Brayan Cuzzuol; Batoreo, Marta Jakubowicz; https://orcid.org/0009-0007-8085-4776; http://lattes.cnpq.br/1461528961848898; https://orcid.org/0000-0002-2322-2816; http://lattes.cnpq.br/2351338431474370; Passamani, Apoena Passos; https://orcid.org/0000-0003-1639-430X; http://lattes.cnpq.br/4845419392362758; Ramos, Vinicius Gripp Barros; https://orcid.org/; ttp://lattes.cnpq.br/2094693621482220
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