CV Lattes
Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Bachelor's degree in Mathematics at Universidade Estadual Paulista Júlio de Mesquita Filho (2007), master's degree in Mathematics at Universidade Estadual de Campinas (2010) and doctoral degree in Mathematics at Universidade de São Paulo (2014). Has experience in Mathematics, focusing on Symplectic Dynamics, and acting on the following subjects: Hamiltonian systems with two degrees of freedom and pseudo-holomorphic curves in symplectizations of 3-dimensional contact manifolds. (Source: Lattes Curriculum)
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In this project, we study the existence of systems of transverse sections for Hamiltonian flows with two degrees of freedom, restricted to contact-type energy levels. We use the theory of pseudo-holomorphic curves in symplectizations to prove the existence of such transverse sections in energy levels close to critical levels containing saddle-center equilibrium points. We intend to apply …
In this project, the student Naiara will study Hamiltonian systems with two degrees of freedom in energy levels near critical levels containing saddle-center equillibrium points. The aim is to give sufficient conditions for the existence of transverse sections of the flow in such energy levels and, as a consequence, obtain homoclinic orbits to the central manifold of the saddle-center.
| 3 / 2 | Completed scholarships in Brazil |
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